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P(A)}{P(B)}",[569,1082,1084,1148,1265],{"className":1083,"ariaHidden":617},[616],[569,1085,1087,1090,1130,1133,1136,1139,1142,1145],{"className":1086},[621],[569,1088],{"className":1089,"style":626},[625],[569,1091,1093,1096],{"className":1092},[630],[569,1094,593],{"className":1095,"style":635},[630,634],[569,1097,1099],{"className":1098},[639],[569,1100,1102,1122],{"className":1101},[643,644],[569,1103,1105,1119],{"className":1104},[648],[569,1106,1108],{"className":1107,"style":653},[652],[569,1109,1110,1113],{"style":656},[569,1111],{"className":1112,"style":661},[660],[569,1114,1116],{"className":1115},[665,666,667,668],[569,1117,604],{"className":1118,"style":693},[630,634,668],[569,1120,676],{"className":1121},[675],[569,1123,1125],{"className":1124},[648],[569,1126,1128],{"className":1127,"style":683},[652],[569,1129],{},[569,1131,601],{"className":1132},[689],[569,1134,596],{"className":1135},[630,634],[569,1137,607],{"className":1138},[697],[569,1140],{"className":1141,"style":891},[867],[569,1143,819],{"className":1144},[895],[569,1146],{"className":1147,"style":891},[867],[569,1149,1151,1155,1256,1259,1262],{"className":1150},[621],[569,1152],{"className":1153,"style":1154},[625],"height:2.363em;vertical-align:-0.936em;",[569,1156,1158,1162,1253],{"className":1157},[630],[569,1159],{"className":1160},[689,1161],"nulldelimiter",[569,1163,1165],{"className":1164},[1014],[569,1166,1168,1244],{"className":1167},[643,644],[569,1169,1171,1241],{"className":1170},[648],[569,1172,1175,1197,1208],{"className":1173,"style":1174},[652],"height:1.427em;",[569,1176,1178,1182],{"style":1177},"top:-2.314em;",[569,1179],{"className":1180,"style":1181},[660],"height:3em;",[569,1183,1185,1188,1191,1194],{"className":1184},[630],[569,1186,593],{"className":1187,"style":635},[630,634],[569,1189,601],{"className":1190},[689],[569,1192,604],{"className":1193,"style":693},[630,634],[569,1195,607],{"className":1196},[697],[569,1198,1200,1203],{"style":1199},"top:-3.23em;",[569,1201],{"className":1202,"style":1181},[660],[569,1204],{"className":1205,"style":1207},[1206],"frac-line","border-bottom-width:0.04em;",[569,1209,1211,1214],{"style":1210},"top:-3.677em;",[569,1212],{"className":1213,"style":1181},[660],[569,1215,1217,1220,1223,1226,1229,1232,1235,1238],{"className":1216},[630],[569,1218,593],{"className":1219,"style":635},[630,634],[569,1221,601],{"className":1222},[689],[569,1224,596],{"className":1225},[630,634],[569,1227],{"className":1228,"style":868},[867],[569,1230,812],{"className":1231},[872],[569,1233],{"className":1234,"style":868},[867],[569,1236,604],{"className":1237,"style":693},[630,634],[569,1239,607],{"className":1240},[697],[569,1242,676],{"className":1243},[675],[569,1245,1247],{"className":1246},[648],[569,1248,1251],{"className":1249,"style":1250},[652],"height:0.936em;",[569,1252],{},[569,1254],{"className":1255},[697,1161],[569,1257],{"className":1258,"style":891},[867],[569,1260,819],{"className":1261},[895],[569,1263],{"className":1264,"style":891},[867],[569,1266,1268,1271],{"className":1267},[621],[569,1269],{"className":1270,"style":1154},[625],[569,1272,1274,1277,1406],{"className":1273},[630],[569,1275],{"className":1276},[689,1161],[569,1278,1280],{"className":1279},[1014],[569,1281,1283,1398],{"className":1282},[643,644],[569,1284,1286,1395],{"className":1285},[648],[569,1287,1289,1309,1317],{"className":1288,"style":1174},[652],[569,1290,1291,1294],{"style":1177},[569,1292],{"className":1293,"style":1181},[660],[569,1295,1297,1300,1303,1306],{"className":1296},[630],[569,1298,593],{"className":1299,"style":635},[630,634],[569,1301,601],{"className":1302},[689],[569,1304,604],{"className":1305,"style":693},[630,634],[569,1307,607],{"className":1308},[697],[569,1310,1311,1314],{"style":1199},[569,1312],{"className":1313,"style":1181},[660],[569,1315],{"className":1316,"style":1207},[1206],[569,1318,1319,1322],{"style":1210},[569,1320],{"className":1321,"style":1181},[660],[569,1323,1325,1365,1368,1371,1374,1377,1380,1383,1386,1389,1392],{"className":1324},[630],[569,1326,1328,1331],{"className":1327},[630],[569,1329,593],{"className":1330,"style":635},[630,634],[569,1332,1334],{"className":1333},[639],[569,1335,1337,1357],{"className":1336},[643,644],[569,1338,1340,1354],{"className":1339},[648],[569,1341,1343],{"className":1342,"style":653},[652],[569,1344,1345,1348],{"style":656},[569,1346],{"className":1347,"style":661},[660],[569,1349,1351],{"className":1350},[665,666,667,668],[569,1352,596],{"className":1353},[630,634,668],[569,1355,676],{"className":1356},[675],[569,1358,1360],{"className":1359},[648],[569,1361,1363],{"className":1362,"style":683},[652],[569,1364],{},[569,1366,601],{"className":1367},[689],[569,1369,604],{"className":1370,"style":693},[630,634],[569,1372,607],{"className":1373},[697],[569,1375],{"className":1376,"style":868},[867],[569,1378,830],{"className":1379},[872],[569,1381],{"className":1382,"style":868},[867],[569,1384,593],{"className":1385,"style":635},[630,634],[569,1387,601],{"className":1388},[689],[569,1390,596],{"className":1391},[630,634],[569,1393,607],{"className":1394},[697],[569,1396,676],{"className":1397},[675],[569,1399,1401],{"className":1400},[648],[569,1402,1404],{"className":1403,"style":1250},[652],[569,1405],{},[569,1407],{"className":1408},[697,1161],[565,1410,1411,1412,1456,1457,1460],{},"Den Nenner ",[569,1413,1415,1435],{"className":1414},[572],[569,1416,1418],{"className":1417},[576],[578,1419,1420],{"xmlns":580},[582,1421,1422,1432],{},[585,1423,1424,1426,1428,1430],{},[591,1425,593],{},[598,1427,601],{"stretchy":600},[591,1429,604],{},[598,1431,607],{"stretchy":600},[609,1433,1434],{"encoding":611},"P(B)",[569,1436,1438],{"className":1437,"ariaHidden":617},[616],[569,1439,1441,1444,1447,1450,1453],{"className":1440},[621],[569,1442],{"className":1443,"style":626},[625],[569,1445,593],{"className":1446,"style":635},[630,634],[569,1448,601],{"className":1449},[689],[569,1451,604],{"className":1452,"style":693},[630,634],[569,1454,607],{"className":1455},[697]," kennt man meist nicht direkt. Man berechnet ihn mit der Pfadadditionsregel aus beiden Ästen des Baumdiagramms (",[786,1458,1459],{},"Satz von der totalen Wahrscheinlichkeit","):",[569,1462,1464],{"className":1463},[985],[569,1465,1467,1546],{"className":1466},[572],[569,1468,1470],{"className":1469},[576],[578,1471,1472],{"xmlns":580,"display":994},[582,1473,1474,1543],{},[585,1475,1476,1478,1480,1482,1484,1486,1488,1490,1492,1494,1496,1502,1504,1506,1508,1511,1513,1515,1523,1525,1527,1537,1539,1541],{},[591,1477,593],{},[598,1479,601],{"stretchy":600},[591,1481,604],{},[598,1483,607],{"stretchy":600},[598,1485,819],{},[591,1487,593],{},[598,1489,601],{"stretchy":600},[591,1491,596],{},[598,1493,607],{"stretchy":600},[598,1495,830],{},[588,1497,1498,1500],{},[591,1499,593],{},[591,1501,596],{},[598,1503,601],{"stretchy":600},[591,1505,604],{},[598,1507,607],{"stretchy":600},[598,1509,1510],{},"+",[591,1512,593],{},[598,1514,601],{"stretchy":600},[1516,1517,1518,1520],"mover",{"accent":617},[591,1519,596],{},[598,1521,1522],{"stretchy":617},"‾",[598,1524,607],{"stretchy":600},[598,1526,830],{},[588,1528,1529,1531],{},[591,1530,593],{},[1516,1532,1533,1535],{"accent":617},[591,1534,596],{},[598,1536,1522],{"stretchy":617},[598,1538,601],{"stretchy":600},[591,1540,604],{},[598,1542,607],{"stretchy":600},[609,1544,1545],{"encoding":611},"P(B) = P(A) \\cdot P_A(B) + P(\\overline{A}) \\cdot P_{\\overline{A}}(B)",[569,1547,1549,1576,1603,1667,1728],{"className":1548,"ariaHidden":617},[616],[569,1550,1552,1555,1558,1561,1564,1567,1570,1573],{"className":1551},[621],[569,1553],{"className":1554,"style":626},[625],[569,1556,593],{"className":1557,"style":635},[630,634],[569,1559,601],{"className":1560},[689],[569,1562,604],{"className":1563,"style":693},[630,634],[569,1565,607],{"className":1566},[697],[569,1568],{"className":1569,"style":891},[867],[569,1571,819],{"className":1572},[895],[569,1574],{"className":1575,"style":891},[867],[569,1577,1579,1582,1585,1588,1591,1594,1597,1600],{"className":1578},[621],[569,1580],{"className":1581,"style":626},[625],[569,1583,593],{"className":1584,"style":635},[630,634],[569,1586,601],{"className":1587},[689],[569,1589,596],{"className":1590},[630,634],[569,1592,607],{"className":1593},[697],[569,1595],{"className":1596,"style":868},[867],[569,1598,830],{"className":1599},[872],[569,1601],{"className":1602,"style":868},[867],[569,1604,1606,1609,1649,1652,1655,1658,1661,1664],{"className":1605},[621],[569,1607],{"className":1608,"style":626},[625],[569,1610,1612,1615],{"className":1611},[630],[569,1613,593],{"className":1614,"style":635},[630,634],[569,1616,1618],{"className":1617},[639],[569,1619,1621,1641],{"className":1620},[643,644],[569,1622,1624,1638],{"className":1623},[648],[569,1625,1627],{"className":1626,"style":653},[652],[569,1628,1629,1632],{"style":656},[569,1630],{"className":1631,"style":661},[660],[569,1633,1635],{"className":1634},[665,666,667,668],[569,1636,596],{"className":1637},[630,634,668],[569,1639,676],{"className":1640},[675],[569,1642,1644],{"className":1643},[648],[569,1645,1647],{"className":1646,"style":683},[652],[569,1648],{},[569,1650,601],{"className":1651},[689],[569,1653,604],{"className":1654,"style":693},[630,634],[569,1656,607],{"className":1657},[697],[569,1659],{"className":1660,"style":868},[867],[569,1662,1510],{"className":1663},[872],[569,1665],{"className":1666,"style":868},[867],[569,1668,1670,1674,1677,1680,1716,1719,1722,1725],{"className":1669},[621],[569,1671],{"className":1672,"style":1673},[625],"height:1.1333em;vertical-align:-0.25em;",[569,1675,593],{"className":1676,"style":635},[630,634],[569,1678,601],{"className":1679},[689],[569,1681,1684],{"className":1682},[630,1683],"overline",[569,1685,1687],{"className":1686},[643],[569,1688,1690],{"className":1689},[648],[569,1691,1694,1706],{"className":1692,"style":1693},[652],"height:0.8833em;",[569,1695,1697,1700],{"style":1696},"top:-3em;",[569,1698],{"className":1699,"style":1181},[660],[569,1701,1703],{"className":1702},[630],[569,1704,596],{"className":1705},[630,634],[569,1707,1709,1712],{"style":1708},"top:-3.8033em;",[569,1710],{"className":1711,"style":1181},[660],[569,1713],{"className":1714,"style":1207},[1715],"overline-line",[569,1717,607],{"className":1718},[697],[569,1720],{"className":1721,"style":868},[867],[569,1723,830],{"className":1724},[872],[569,1726],{"className":1727,"style":868},[867],[569,1729,1731,1735,1812,1815,1818],{"className":1730},[621],[569,1732],{"className":1733,"style":1734},[625],"height:1.055em;vertical-align:-0.305em;",[569,1736,1738,1741],{"className":1737},[630],[569,1739,593],{"className":1740,"style":635},[630,634],[569,1742,1744],{"className":1743},[639],[569,1745,1747,1803],{"className":1746},[643,644],[569,1748,1750,1800],{"className":1749},[648],[569,1751,1754],{"className":1752,"style":1753},[652],"height:0.3448em;",[569,1755,1757,1760],{"style":1756},"top:-2.695em;margin-left:-0.1389em;margin-right:0.05em;",[569,1758],{"className":1759,"style":1181},[660],[569,1761,1763],{"className":1762},[665,666,667,668],[569,1764,1766],{"className":1765},[630,668],[569,1767,1769],{"className":1768},[630,1683,668],[569,1770,1772],{"className":1771},[643],[569,1773,1775],{"className":1774},[648],[569,1776,1779,1790],{"className":1777,"style":1778},[652],"height:0.9283em;",[569,1780,1781,1784],{"style":1696},[569,1782],{"className":1783,"style":1181},[660],[569,1785,1787],{"className":1786},[630,668],[569,1788,596],{"className":1789},[630,634,668],[569,1791,1793,1796],{"style":1792},"top:-3.8303em;",[569,1794],{"className":1795,"style":1181},[660],[569,1797],{"className":1798,"style":1799},[1715,668],"border-bottom-width:0.049em;",[569,1801,676],{"className":1802},[675],[569,1804,1806],{"className":1805},[648],[569,1807,1810],{"className":1808,"style":1809},[652],"height:0.305em;",[569,1811],{},[569,1813,601],{"className":1814},[689],[569,1816,604],{"className":1817,"style":693},[630,634],[569,1819,607],{"className":1820},[697],[565,1822,1823,1824,1894,1895,1979,1980,2046,2047,2090,2091,2134,2135,2226,2227,2347],{},"Beide Voraussetzungen sind nötig: ",[569,1825,1827,1854],{"className":1826},[572],[569,1828,1830],{"className":1829},[576],[578,1831,1832],{"xmlns":580},[582,1833,1834,1851],{},[585,1835,1836,1838,1840,1842,1844,1847],{},[591,1837,593],{},[598,1839,601],{"stretchy":600},[591,1841,596],{},[598,1843,607],{"stretchy":600},[598,1845,1846],{},">",[1848,1849,1850],"mn",{},"0",[609,1852,1853],{"encoding":611},"P(A) > 0",[569,1855,1857,1884],{"className":1856,"ariaHidden":617},[616],[569,1858,1860,1863,1866,1869,1872,1875,1878,1881],{"className":1859},[621],[569,1861],{"className":1862,"style":626},[625],[569,1864,593],{"className":1865,"style":635},[630,634],[569,1867,601],{"className":1868},[689],[569,1870,596],{"className":1871},[630,634],[569,1873,607],{"className":1874},[697],[569,1876],{"className":1877,"style":891},[867],[569,1879,1846],{"className":1880},[895],[569,1882],{"className":1883,"style":891},[867],[569,1885,1887,1891],{"className":1886},[621],[569,1888],{"className":1889,"style":1890},[625],"height:0.6444em;",[569,1892,1850],{"className":1893},[630],", damit ",[569,1896,1898,1921],{"className":1897},[572],[569,1899,1901],{"className":1900},[576],[578,1902,1903],{"xmlns":580},[582,1904,1905,1919],{},[585,1906,1907,1913,1915,1917],{},[588,1908,1909,1911],{},[591,1910,593],{},[591,1912,596],{},[598,1914,601],{"stretchy":600},[591,1916,604],{},[598,1918,607],{"stretchy":600},[609,1920,612],{"encoding":611},[569,1922,1924],{"className":1923,"ariaHidden":617},[616],[569,1925,1927,1930,1970,1973,1976],{"className":1926},[621],[569,1928],{"className":1929,"style":626},[625],[569,1931,1933,1936],{"className":1932},[630],[569,1934,593],{"className":1935,"style":635},[630,634],[569,1937,1939],{"className":1938},[639],[569,1940,1942,1962],{"className":1941},[643,644],[569,1943,1945,1959],{"className":1944},[648],[569,1946,1948],{"className":1947,"style":653},[652],[569,1949,1950,1953],{"style":656},[569,1951],{"className":1952,"style":661},[660],[569,1954,1956],{"className":1955},[665,666,667,668],[569,1957,596],{"className":1958},[630,634,668],[569,1960,676],{"className":1961},[675],[569,1963,1965],{"className":1964},[648],[569,1966,1968],{"className":1967,"style":683},[652],[569,1969],{},[569,1971,601],{"className":1972},[689],[569,1974,604],{"className":1975,"style":693},[630,634],[569,1977,607],{"className":1978},[697]," definiert ist, und ",[569,1981,1983,2007],{"className":1982},[572],[569,1984,1986],{"className":1985},[576],[578,1987,1988],{"xmlns":580},[582,1989,1990,2004],{},[585,1991,1992,1994,1996,1998,2000,2002],{},[591,1993,593],{},[598,1995,601],{"stretchy":600},[591,1997,604],{},[598,1999,607],{"stretchy":600},[598,2001,1846],{},[1848,2003,1850],{},[609,2005,2006],{"encoding":611},"P(B) > 0",[569,2008,2010,2037],{"className":2009,"ariaHidden":617},[616],[569,2011,2013,2016,2019,2022,2025,2028,2031,2034],{"className":2012},[621],[569,2014],{"className":2015,"style":626},[625],[569,2017,593],{"className":2018,"style":635},[630,634],[569,2020,601],{"className":2021},[689],[569,2023,604],{"className":2024,"style":693},[630,634],[569,2026,607],{"className":2027},[697],[569,2029],{"className":2030,"style":891},[867],[569,2032,1846],{"className":2033},[895],[569,2035],{"className":2036,"style":891},[867],[569,2038,2040,2043],{"className":2039},[621],[569,2041],{"className":2042,"style":1890},[625],[569,2044,1850],{"className":2045},[630],", damit man durch ",[569,2048,2050,2069],{"className":2049},[572],[569,2051,2053],{"className":2052},[576],[578,2054,2055],{"xmlns":580},[582,2056,2057,2067],{},[585,2058,2059,2061,2063,2065],{},[591,2060,593],{},[598,2062,601],{"stretchy":600},[591,2064,604],{},[598,2066,607],{"stretchy":600},[609,2068,1434],{"encoding":611},[569,2070,2072],{"className":2071,"ariaHidden":617},[616],[569,2073,2075,2078,2081,2084,2087],{"className":2074},[621],[569,2076],{"className":2077,"style":626},[625],[569,2079,593],{"className":2080,"style":635},[630,634],[569,2082,601],{"className":2083},[689],[569,2085,604],{"className":2086,"style":693},[630,634],[569,2088,607],{"className":2089},[697]," teilen darf. Für die Zerlegung von ",[569,2092,2094,2113],{"className":2093},[572],[569,2095,2097],{"className":2096},[576],[578,2098,2099],{"xmlns":580},[582,2100,2101,2111],{},[585,2102,2103,2105,2107,2109],{},[591,2104,593],{},[598,2106,601],{"stretchy":600},[591,2108,604],{},[598,2110,607],{"stretchy":600},[609,2112,1434],{"encoding":611},[569,2114,2116],{"className":2115,"ariaHidden":617},[616],[569,2117,2119,2122,2125,2128,2131],{"className":2118},[621],[569,2120],{"className":2121,"style":626},[625],[569,2123,593],{"className":2124,"style":635},[630,634],[569,2126,601],{"className":2127},[689],[569,2129,604],{"className":2130,"style":693},[630,634],[569,2132,607],{"className":2133},[697]," braucht man zusätzlich ",[569,2136,2138,2168],{"className":2137},[572],[569,2139,2141],{"className":2140},[576],[578,2142,2143],{"xmlns":580},[582,2144,2145,2165],{},[585,2146,2147,2149,2152,2154,2156,2158,2160,2162],{},[1848,2148,1850],{},[598,2150,2151],{},"\u003C",[591,2153,593],{},[598,2155,601],{"stretchy":600},[591,2157,596],{},[598,2159,607],{"stretchy":600},[598,2161,2151],{},[1848,2163,2164],{},"1",[609,2166,2167],{"encoding":611},"0 \u003C P(A) \u003C 1",[569,2169,2171,2190,2217],{"className":2170,"ariaHidden":617},[616],[569,2172,2174,2178,2181,2184,2187],{"className":2173},[621],[569,2175],{"className":2176,"style":2177},[625],"height:0.6835em;vertical-align:-0.0391em;",[569,2179,1850],{"className":2180},[630],[569,2182],{"className":2183,"style":891},[867],[569,2185,2151],{"className":2186},[895],[569,2188],{"className":2189,"style":891},[867],[569,2191,2193,2196,2199,2202,2205,2208,2211,2214],{"className":2192},[621],[569,2194],{"className":2195,"style":626},[625],[569,2197,593],{"className":2198,"style":635},[630,634],[569,2200,601],{"className":2201},[689],[569,2203,596],{"className":2204},[630,634],[569,2206,607],{"className":2207},[697],[569,2209],{"className":2210,"style":891},[867],[569,2212,2151],{"className":2213},[895],[569,2215],{"className":2216,"style":891},[867],[569,2218,2220,2223],{"className":2219},[621],[569,2221],{"className":2222,"style":1890},[625],[569,2224,2164],{"className":2225},[630],", damit auch ",[569,2228,2230,2258],{"className":2229},[572],[569,2231,2233],{"className":2232},[576],[578,2234,2235],{"xmlns":580},[582,2236,2237,2255],{},[585,2238,2239,2249,2251,2253],{},[588,2240,2241,2243],{},[591,2242,593],{},[1516,2244,2245,2247],{"accent":617},[591,2246,596],{},[598,2248,1522],{"stretchy":617},[598,2250,601],{"stretchy":600},[591,2252,604],{},[598,2254,607],{"stretchy":600},[609,2256,2257],{"encoding":611},"P_{\\overline{A}}(B)",[569,2259,2261],{"className":2260,"ariaHidden":617},[616],[569,2262,2264,2267,2338,2341,2344],{"className":2263},[621],[569,2265],{"className":2266,"style":1734},[625],[569,2268,2270,2273],{"className":2269},[630],[569,2271,593],{"className":2272,"style":635},[630,634],[569,2274,2276],{"className":2275},[639],[569,2277,2279,2330],{"className":2278},[643,644],[569,2280,2282,2327],{"className":2281},[648],[569,2283,2285],{"className":2284,"style":1753},[652],[569,2286,2287,2290],{"style":1756},[569,2288],{"className":2289,"style":1181},[660],[569,2291,2293],{"className":2292},[665,666,667,668],[569,2294,2296],{"className":2295},[630,668],[569,2297,2299],{"className":2298},[630,1683,668],[569,2300,2302],{"className":2301},[643],[569,2303,2305],{"className":2304},[648],[569,2306,2308,2319],{"className":2307,"style":1778},[652],[569,2309,2310,2313],{"style":1696},[569,2311],{"className":2312,"style":1181},[660],[569,2314,2316],{"className":2315},[630,668],[569,2317,596],{"className":2318},[630,634,668],[569,2320,2321,2324],{"style":1792},[569,2322],{"className":2323,"style":1181},[660],[569,2325],{"className":2326,"style":1799},[1715,668],[569,2328,676],{"className":2329},[675],[569,2331,2333],{"className":2332},[648],[569,2334,2336],{"className":2335,"style":1809},[652],[569,2337],{},[569,2339,601],{"className":2340},[689],[569,2342,604],{"className":2343,"style":693},[630,634],[569,2345,607],{"className":2346},[697]," definiert ist.",[560,2349,2351],{"id":2350},"beispiele","Beispiele",[565,2353,2354,2355,2384,2385,2428,2429,2469,2470,2498],{},"Spamfilter: 20 % aller E-Mails sind Spam (",[569,2356,2358,2371],{"className":2357},[572],[569,2359,2361],{"className":2360},[576],[578,2362,2363],{"xmlns":580},[582,2364,2365,2369],{},[585,2366,2367],{},[591,2368,596],{},[609,2370,596],{"encoding":611},[569,2372,2374],{"className":2373,"ariaHidden":617},[616],[569,2375,2377,2381],{"className":2376},[621],[569,2378],{"className":2379,"style":2380},[625],"height:0.6833em;",[569,2382,596],{"className":2383},[630,634],"). Der Filter markiert Spam mit Wahrscheinlichkeit ",[569,2386,2388,2403],{"className":2387},[572],[569,2389,2391],{"className":2390},[576],[578,2392,2393],{"xmlns":580},[582,2394,2395,2400],{},[585,2396,2397],{},[1848,2398,2399],{},"0,95",[609,2401,2402],{"encoding":611},"0{,}95",[569,2404,2406],{"className":2405,"ariaHidden":617},[616],[569,2407,2409,2413,2416,2424],{"className":2408},[621],[569,2410],{"className":2411,"style":2412},[625],"height:0.8389em;vertical-align:-0.1944em;",[569,2414,1850],{"className":2415},[630],[569,2417,2419],{"className":2418},[630],[569,2420,2423],{"className":2421},[2422],"mpunct",",",[569,2425,2427],{"className":2426},[630],"95",", normale Mails markiert er irrtümlich mit ",[569,2430,2432,2447],{"className":2431},[572],[569,2433,2435],{"className":2434},[576],[578,2436,2437],{"xmlns":580},[582,2438,2439,2444],{},[585,2440,2441],{},[1848,2442,2443],{},"0,02",[609,2445,2446],{"encoding":611},"0{,}02",[569,2448,2450],{"className":2449,"ariaHidden":617},[616],[569,2451,2453,2456,2459,2465],{"className":2452},[621],[569,2454],{"className":2455,"style":2412},[625],[569,2457,1850],{"className":2458},[630],[569,2460,2462],{"className":2461},[630],[569,2463,2423],{"className":2464},[2422],[569,2466,2468],{"className":2467},[630],"02",". ",[569,2471,2473,2486],{"className":2472},[572],[569,2474,2476],{"className":2475},[576],[578,2477,2478],{"xmlns":580},[582,2479,2480,2484],{},[585,2481,2482],{},[591,2483,604],{},[609,2485,604],{"encoding":611},[569,2487,2489],{"className":2488,"ariaHidden":617},[616],[569,2490,2492,2495],{"className":2491},[621],[569,2493],{"className":2494,"style":2380},[625],[569,2496,604],{"className":2497,"style":693},[630,634]," ist „Mail wird markiert“.",[569,2500,2502],{"className":2501},[985],[569,2503,2505,2558],{"className":2504},[572],[569,2506,2508],{"className":2507},[576],[578,2509,2510],{"xmlns":580,"display":994},[582,2511,2512,2555],{},[585,2513,2514,2516,2518,2520,2522,2524,2527,2529,2531,2533,2536,2538,2540,2542,2545,2547,2550,2552],{},[591,2515,593],{},[598,2517,601],{"stretchy":600},[591,2519,604],{},[598,2521,607],{"stretchy":600},[598,2523,819],{},[1848,2525,2526],{},"0,2",[598,2528,830],{},[1848,2530,2399],{},[598,2532,1510],{},[1848,2534,2535],{},"0,8",[598,2537,830],{},[1848,2539,2443],{},[598,2541,819],{},[1848,2543,2544],{},"0,19",[598,2546,1510],{},[1848,2548,2549],{},"0,016",[598,2551,819],{},[1848,2553,2554],{},"0,206",[609,2556,2557],{"encoding":611},"P(B) = 0{,}2 \\cdot 0{,}95 + 0{,}8 \\cdot 0{,}02 = 0{,}19 + 0{,}016 = 0{,}206",[569,2559,2561,2588,2616,2643,2671,2698,2726,2754],{"className":2560,"ariaHidden":617},[616],[569,2562,2564,2567,2570,2573,2576,2579,2582,2585],{"className":2563},[621],[569,2565],{"className":2566,"style":626},[625],[569,2568,593],{"className":2569,"style":635},[630,634],[569,2571,601],{"className":2572},[689],[569,2574,604],{"className":2575,"style":693},[630,634],[569,2577,607],{"className":2578},[697],[569,2580],{"className":2581,"style":891},[867],[569,2583,819],{"className":2584},[895],[569,2586],{"className":2587,"style":891},[867],[569,2589,2591,2594,2597,2603,2607,2610,2613],{"className":2590},[621],[569,2592],{"className":2593,"style":2412},[625],[569,2595,1850],{"className":2596},[630],[569,2598,2600],{"className":2599},[630],[569,2601,2423],{"className":2602},[2422],[569,2604,2606],{"className":2605},[630],"2",[569,2608],{"className":2609,"style":868},[867],[569,2611,830],{"className":2612},[872],[569,2614],{"className":2615,"style":868},[867],[569,2617,2619,2622,2625,2631,2634,2637,2640],{"className":2618},[621],[569,2620],{"className":2621,"style":2412},[625],[569,2623,1850],{"className":2624},[630],[569,2626,2628],{"className":2627},[630],[569,2629,2423],{"className":2630},[2422],[569,2632,2427],{"className":2633},[630],[569,2635],{"className":2636,"style":868},[867],[569,2638,1510],{"className":2639},[872],[569,2641],{"className":2642,"style":868},[867],[569,2644,2646,2649,2652,2658,2662,2665,2668],{"className":2645},[621],[569,2647],{"className":2648,"style":2412},[625],[569,2650,1850],{"className":2651},[630],[569,2653,2655],{"className":2654},[630],[569,2656,2423],{"className":2657},[2422],[569,2659,2661],{"className":2660},[630],"8",[569,2663],{"className":2664,"style":868},[867],[569,2666,830],{"className":2667},[872],[569,2669],{"className":2670,"style":868},[867],[569,2672,2674,2677,2680,2686,2689,2692,2695],{"className":2673},[621],[569,2675],{"className":2676,"style":2412},[625],[569,2678,1850],{"className":2679},[630],[569,2681,2683],{"className":2682},[630],[569,2684,2423],{"className":2685},[2422],[569,2687,2468],{"className":2688},[630],[569,2690],{"className":2691,"style":891},[867],[569,2693,819],{"className":2694},[895],[569,2696],{"className":2697,"style":891},[867],[569,2699,2701,2704,2707,2713,2717,2720,2723],{"className":2700},[621],[569,2702],{"className":2703,"style":2412},[625],[569,2705,1850],{"className":2706},[630],[569,2708,2710],{"className":2709},[630],[569,2711,2423],{"className":2712},[2422],[569,2714,2716],{"className":2715},[630],"19",[569,2718],{"className":2719,"style":868},[867],[569,2721,1510],{"className":2722},[872],[569,2724],{"className":2725,"style":868},[867],[569,2727,2729,2732,2735,2741,2745,2748,2751],{"className":2728},[621],[569,2730],{"className":2731,"style":2412},[625],[569,2733,1850],{"className":2734},[630],[569,2736,2738],{"className":2737},[630],[569,2739,2423],{"className":2740},[2422],[569,2742,2744],{"className":2743},[630],"016",[569,2746],{"className":2747,"style":891},[867],[569,2749,819],{"className":2750},[895],[569,2752],{"className":2753,"style":891},[867],[569,2755,2757,2760,2763,2769],{"className":2756},[621],[569,2758],{"className":2759,"style":2412},[625],[569,2761,1850],{"className":2762},[630],[569,2764,2766],{"className":2765},[630],[569,2767,2423],{"className":2768},[2422],[569,2770,2772],{"className":2771},[630],"206",[569,2774,2776],{"className":2775},[985],[569,2777,2779,2840],{"className":2778},[572],[569,2780,2782],{"className":2781},[576],[578,2783,2784],{"xmlns":580,"display":994},[582,2785,2786,2837],{},[585,2787,2788,2794,2796,2798,2800,2802,2814,2816,2823,2826,2829,2833],{},[588,2789,2790,2792],{},[591,2791,593],{},[591,2793,604],{},[598,2795,601],{"stretchy":600},[591,2797,596],{},[598,2799,607],{"stretchy":600},[598,2801,819],{},[1014,2803,2804,2812],{},[585,2805,2806,2808,2810],{},[1848,2807,2399],{},[598,2809,830],{},[1848,2811,2526],{},[1848,2813,2554],{},[598,2815,819],{},[1014,2817,2818,2820],{},[1848,2819,2427],{},[1848,2821,2822],{},"103",[598,2824,2825],{},"≈",[1848,2827,2828],{},"92,2",[2830,2831,2832],"mtext",{}," ",[591,2834,2836],{"mathvariant":2835},"normal","%",[609,2838,2839],{"encoding":611},"P_B(A) = \\frac{0{,}95 \\cdot 0{,}2}{0{,}206} = \\frac{95}{103} \\approx 92{,}2\\,\\%",[569,2841,2843,2907,3026,3105],{"className":2842,"ariaHidden":617},[616],[569,2844,2846,2849,2889,2892,2895,2898,2901,2904],{"className":2845},[621],[569,2847],{"className":2848,"style":626},[625],[569,2850,2852,2855],{"className":2851},[630],[569,2853,593],{"className":2854,"style":635},[630,634],[569,2856,2858],{"className":2857},[639],[569,2859,2861,2881],{"className":2860},[643,644],[569,2862,2864,2878],{"className":2863},[648],[569,2865,2867],{"className":2866,"style":653},[652],[569,2868,2869,2872],{"style":656},[569,2870],{"className":2871,"style":661},[660],[569,2873,2875],{"className":2874},[665,666,667,668],[569,2876,604],{"className":2877,"style":693},[630,634,668],[569,2879,676],{"className":2880},[675],[569,2882,2884],{"className":2883},[648],[569,2885,2887],{"className":2886,"style":683},[652],[569,2888],{},[569,2890,601],{"className":2891},[689],[569,2893,596],{"className":2894},[630,634],[569,2896,607],{"className":2897},[697],[569,2899],{"className":2900,"style":891},[867],[569,2902,819],{"className":2903},[895],[569,2905],{"className":2906,"style":891},[867],[569,2908,2910,2914,3017,3020,3023],{"className":2909},[621],[569,2911],{"className":2912,"style":2913},[625],"height:2.2019em;vertical-align:-0.8804em;",[569,2915,2917,2920,3014],{"className":2916},[630],[569,2918],{"className":2919},[689,1161],[569,2921,2923],{"className":2922},[1014],[569,2924,2926,3005],{"className":2925},[643,644],[569,2927,2929,3002],{"className":2928},[648],[569,2930,2933,2953,2961],{"className":2931,"style":2932},[652],"height:1.3214em;",[569,2934,2935,2938],{"style":1177},[569,2936],{"className":2937,"style":1181},[660],[569,2939,2941,2944,2950],{"className":2940},[630],[569,2942,1850],{"className":2943},[630],[569,2945,2947],{"className":2946},[630],[569,2948,2423],{"className":2949},[2422],[569,2951,2772],{"className":2952},[630],[569,2954,2955,2958],{"style":1199},[569,2956],{"className":2957,"style":1181},[660],[569,2959],{"className":2960,"style":1207},[1206],[569,2962,2963,2966],{"style":1210},[569,2964],{"className":2965,"style":1181},[660],[569,2967,2969,2972,2978,2981,2984,2987,2990,2993,2999],{"className":2968},[630],[569,2970,1850],{"className":2971},[630],[569,2973,2975],{"className":2974},[630],[569,2976,2423],{"className":2977},[2422],[569,2979,2427],{"className":2980},[630],[569,2982],{"className":2983,"style":868},[867],[569,2985,830],{"className":2986},[872],[569,2988],{"className":2989,"style":868},[867],[569,2991,1850],{"className":2992},[630],[569,2994,2996],{"className":2995},[630],[569,2997,2423],{"className":2998},[2422],[569,3000,2606],{"className":3001},[630],[569,3003,676],{"className":3004},[675],[569,3006,3008],{"className":3007},[648],[569,3009,3012],{"className":3010,"style":3011},[652],"height:0.8804em;",[569,3013],{},[569,3015],{"className":3016},[697,1161],[569,3018],{"className":3019,"style":891},[867],[569,3021,819],{"className":3022},[895],[569,3024],{"className":3025,"style":891},[867],[569,3027,3029,3033,3096,3099,3102],{"className":3028},[621],[569,3030],{"className":3031,"style":3032},[625],"height:2.0074em;vertical-align:-0.686em;",[569,3034,3036,3039,3093],{"className":3035},[630],[569,3037],{"className":3038},[689,1161],[569,3040,3042],{"className":3041},[1014],[569,3043,3045,3084],{"className":3044},[643,644],[569,3046,3048,3081],{"className":3047},[648],[569,3049,3051,3062,3070],{"className":3050,"style":2932},[652],[569,3052,3053,3056],{"style":1177},[569,3054],{"className":3055,"style":1181},[660],[569,3057,3059],{"className":3058},[630],[569,3060,2822],{"className":3061},[630],[569,3063,3064,3067],{"style":1199},[569,3065],{"className":3066,"style":1181},[660],[569,3068],{"className":3069,"style":1207},[1206],[569,3071,3072,3075],{"style":1210},[569,3073],{"className":3074,"style":1181},[660],[569,3076,3078],{"className":3077},[630],[569,3079,2427],{"className":3080},[630],[569,3082,676],{"className":3083},[675],[569,3085,3087],{"className":3086},[648],[569,3088,3091],{"className":3089,"style":3090},[652],"height:0.686em;",[569,3092],{},[569,3094],{"className":3095},[697,1161],[569,3097],{"className":3098,"style":891},[867],[569,3100,2825],{"className":3101},[895],[569,3103],{"className":3104,"style":891},[867],[569,3106,3108,3112,3116,3122,3125,3129],{"className":3107},[621],[569,3109],{"className":3110,"style":3111},[625],"height:0.9444em;vertical-align:-0.1944em;",[569,3113,3115],{"className":3114},[630],"92",[569,3117,3119],{"className":3118},[630],[569,3120,2423],{"className":3121},[2422],[569,3123,2606],{"className":3124},[630],[569,3126],{"className":3127,"style":3128},[867],"margin-right:0.1667em;",[569,3130,2836],{"className":3131},[630],[565,3133,3134,3135,3163,3164,3204,3205,3233,3234,3274],{},"Seltene Eigenschaft: In einer Produktion ist 1 % der Teile defekt (",[569,3136,3138,3151],{"className":3137},[572],[569,3139,3141],{"className":3140},[576],[578,3142,3143],{"xmlns":580},[582,3144,3145,3149],{},[585,3146,3147],{},[591,3148,596],{},[609,3150,596],{"encoding":611},[569,3152,3154],{"className":3153,"ariaHidden":617},[616],[569,3155,3157,3160],{"className":3156},[621],[569,3158],{"className":3159,"style":2380},[625],[569,3161,596],{"className":3162},[630,634],"). Ein Prüfgerät schlägt bei defekten Teilen mit ",[569,3165,3167,3182],{"className":3166},[572],[569,3168,3170],{"className":3169},[576],[578,3171,3172],{"xmlns":580},[582,3173,3174,3179],{},[585,3175,3176],{},[1848,3177,3178],{},"0,98",[609,3180,3181],{"encoding":611},"0{,}98",[569,3183,3185],{"className":3184,"ariaHidden":617},[616],[569,3186,3188,3191,3194,3200],{"className":3187},[621],[569,3189],{"className":3190,"style":2412},[625],[569,3192,1850],{"className":3193},[630],[569,3195,3197],{"className":3196},[630],[569,3198,2423],{"className":3199},[2422],[569,3201,3203],{"className":3202},[630],"98"," Alarm (",[569,3206,3208,3221],{"className":3207},[572],[569,3209,3211],{"className":3210},[576],[578,3212,3213],{"xmlns":580},[582,3214,3215,3219],{},[585,3216,3217],{},[591,3218,604],{},[609,3220,604],{"encoding":611},[569,3222,3224],{"className":3223,"ariaHidden":617},[616],[569,3225,3227,3230],{"className":3226},[621],[569,3228],{"className":3229,"style":2380},[625],[569,3231,604],{"className":3232,"style":693},[630,634],"), bei intakten Teilen fälschlich mit ",[569,3235,3237,3252],{"className":3236},[572],[569,3238,3240],{"className":3239},[576],[578,3241,3242],{"xmlns":580},[582,3243,3244,3249],{},[585,3245,3246],{},[1848,3247,3248],{},"0,03",[609,3250,3251],{"encoding":611},"0{,}03",[569,3253,3255],{"className":3254,"ariaHidden":617},[616],[569,3256,3258,3261,3264,3270],{"className":3257},[621],[569,3259],{"className":3260,"style":2412},[625],[569,3262,1850],{"className":3263},[630],[569,3265,3267],{"className":3266},[630],[569,3268,2423],{"className":3269},[2422],[569,3271,3273],{"className":3272},[630],"03",".",[569,3276,3278],{"className":3277},[985],[569,3279,3281,3324],{"className":3280},[572],[569,3282,3284],{"className":3283},[576],[578,3285,3286],{"xmlns":580,"display":994},[582,3287,3288,3321],{},[585,3289,3290,3292,3294,3296,3298,3300,3303,3305,3307,3309,3312,3314,3316,3318],{},[591,3291,593],{},[598,3293,601],{"stretchy":600},[591,3295,604],{},[598,3297,607],{"stretchy":600},[598,3299,819],{},[1848,3301,3302],{},"0,01",[598,3304,830],{},[1848,3306,3178],{},[598,3308,1510],{},[1848,3310,3311],{},"0,99",[598,3313,830],{},[1848,3315,3248],{},[598,3317,819],{},[1848,3319,3320],{},"0,0395",[609,3322,3323],{"encoding":611},"P(B) = 0{,}01 \\cdot 0{,}98 + 0{,}99 \\cdot 0{,}03 = 0{,}0395",[569,3325,3327,3354,3382,3409,3437,3464],{"className":3326,"ariaHidden":617},[616],[569,3328,3330,3333,3336,3339,3342,3345,3348,3351],{"className":3329},[621],[569,3331],{"className":3332,"style":626},[625],[569,3334,593],{"className":3335,"style":635},[630,634],[569,3337,601],{"className":3338},[689],[569,3340,604],{"className":3341,"style":693},[630,634],[569,3343,607],{"className":3344},[697],[569,3346],{"className":3347,"style":891},[867],[569,3349,819],{"className":3350},[895],[569,3352],{"className":3353,"style":891},[867],[569,3355,3357,3360,3363,3369,3373,3376,3379],{"className":3356},[621],[569,3358],{"className":3359,"style":2412},[625],[569,3361,1850],{"className":3362},[630],[569,3364,3366],{"className":3365},[630],[569,3367,2423],{"className":3368},[2422],[569,3370,3372],{"className":3371},[630],"01",[569,3374],{"className":3375,"style":868},[867],[569,3377,830],{"className":3378},[872],[569,3380],{"className":3381,"style":868},[867],[569,3383,3385,3388,3391,3397,3400,3403,3406],{"className":3384},[621],[569,3386],{"className":3387,"style":2412},[625],[569,3389,1850],{"className":3390},[630],[569,3392,3394],{"className":3393},[630],[569,3395,2423],{"className":3396},[2422],[569,3398,3203],{"className":3399},[630],[569,3401],{"className":3402,"style":868},[867],[569,3404,1510],{"className":3405},[872],[569,3407],{"className":3408,"style":868},[867],[569,3410,3412,3415,3418,3424,3428,3431,3434],{"className":3411},[621],[569,3413],{"className":3414,"style":2412},[625],[569,3416,1850],{"className":3417},[630],[569,3419,3421],{"className":3420},[630],[569,3422,2423],{"className":3423},[2422],[569,3425,3427],{"className":3426},[630],"99",[569,3429],{"className":3430,"style":868},[867],[569,3432,830],{"className":3433},[872],[569,3435],{"className":3436,"style":868},[867],[569,3438,3440,3443,3446,3452,3455,3458,3461],{"className":3439},[621],[569,3441],{"className":3442,"style":2412},[625],[569,3444,1850],{"className":3445},[630],[569,3447,3449],{"className":3448},[630],[569,3450,2423],{"className":3451},[2422],[569,3453,3273],{"className":3454},[630],[569,3456],{"className":3457,"style":891},[867],[569,3459,819],{"className":3460},[895],[569,3462],{"className":3463,"style":891},[867],[569,3465,3467,3470,3473,3479],{"className":3466},[621],[569,3468],{"className":3469,"style":2412},[625],[569,3471,1850],{"className":3472},[630],[569,3474,3476],{"className":3475},[630],[569,3477,2423],{"className":3478},[2422],[569,3480,3482],{"className":3481},[630],"0395",[569,3484,3486],{"className":3485},[985],[569,3487,3489,3545],{"className":3488},[572],[569,3490,3492],{"className":3491},[576],[578,3493,3494],{"xmlns":580,"display":994},[582,3495,3496,3542],{},[585,3497,3498,3504,3506,3508,3510,3512,3524,3526,3533,3535,3538,3540],{},[588,3499,3500,3502],{},[591,3501,593],{},[591,3503,604],{},[598,3505,601],{"stretchy":600},[591,3507,596],{},[598,3509,607],{"stretchy":600},[598,3511,819],{},[1014,3513,3514,3522],{},[585,3515,3516,3518,3520],{},[1848,3517,3178],{},[598,3519,830],{},[1848,3521,3302],{},[1848,3523,3320],{},[598,3525,819],{},[1014,3527,3528,3530],{},[1848,3529,3203],{},[1848,3531,3532],{},"395",[598,3534,2825],{},[1848,3536,3537],{},"24,8",[2830,3539,2832],{},[591,3541,2836],{"mathvariant":2835},[609,3543,3544],{"encoding":611},"P_B(A) = \\frac{0{,}98 \\cdot 0{,}01}{0{,}0395} = \\frac{98}{395} \\approx 24{,}8\\,\\%",[569,3546,3548,3612,3728,3805],{"className":3547,"ariaHidden":617},[616],[569,3549,3551,3554,3594,3597,3600,3603,3606,3609],{"className":3550},[621],[569,3552],{"className":3553,"style":626},[625],[569,3555,3557,3560],{"className":3556},[630],[569,3558,593],{"className":3559,"style":635},[630,634],[569,3561,3563],{"className":3562},[639],[569,3564,3566,3586],{"className":3565},[643,644],[569,3567,3569,3583],{"className":3568},[648],[569,3570,3572],{"className":3571,"style":653},[652],[569,3573,3574,3577],{"style":656},[569,3575],{"className":3576,"style":661},[660],[569,3578,3580],{"className":3579},[665,666,667,668],[569,3581,604],{"className":3582,"style":693},[630,634,668],[569,3584,676],{"className":3585},[675],[569,3587,3589],{"className":3588},[648],[569,3590,3592],{"className":3591,"style":683},[652],[569,3593],{},[569,3595,601],{"className":3596},[689],[569,3598,596],{"className":3599},[630,634],[569,3601,607],{"className":3602},[697],[569,3604],{"className":3605,"style":891},[867],[569,3607,819],{"className":3608},[895],[569,3610],{"className":3611,"style":891},[867],[569,3613,3615,3618,3719,3722,3725],{"className":3614},[621],[569,3616],{"className":3617,"style":2913},[625],[569,3619,3621,3624,3716],{"className":3620},[630],[569,3622],{"className":3623},[689,1161],[569,3625,3627],{"className":3626},[1014],[569,3628,3630,3708],{"className":3629},[643,644],[569,3631,3633,3705],{"className":3632},[648],[569,3634,3636,3656,3664],{"className":3635,"style":2932},[652],[569,3637,3638,3641],{"style":1177},[569,3639],{"className":3640,"style":1181},[660],[569,3642,3644,3647,3653],{"className":3643},[630],[569,3645,1850],{"className":3646},[630],[569,3648,3650],{"className":3649},[630],[569,3651,2423],{"className":3652},[2422],[569,3654,3482],{"className":3655},[630],[569,3657,3658,3661],{"style":1199},[569,3659],{"className":3660,"style":1181},[660],[569,3662],{"className":3663,"style":1207},[1206],[569,3665,3666,3669],{"style":1210},[569,3667],{"className":3668,"style":1181},[660],[569,3670,3672,3675,3681,3684,3687,3690,3693,3696,3702],{"className":3671},[630],[569,3673,1850],{"className":3674},[630],[569,3676,3678],{"className":3677},[630],[569,3679,2423],{"className":3680},[2422],[569,3682,3203],{"className":3683},[630],[569,3685],{"className":3686,"style":868},[867],[569,3688,830],{"className":3689},[872],[569,3691],{"className":3692,"style":868},[867],[569,3694,1850],{"className":3695},[630],[569,3697,3699],{"className":3698},[630],[569,3700,2423],{"className":3701},[2422],[569,3703,3372],{"className":3704},[630],[569,3706,676],{"className":3707},[675],[569,3709,3711],{"className":3710},[648],[569,3712,3714],{"className":3713,"style":3011},[652],[569,3715],{},[569,3717],{"className":3718},[697,1161],[569,3720],{"className":3721,"style":891},[867],[569,3723,819],{"className":3724},[895],[569,3726],{"className":3727,"style":891},[867],[569,3729,3731,3734,3796,3799,3802],{"className":3730},[621],[569,3732],{"className":3733,"style":3032},[625],[569,3735,3737,3740,3793],{"className":3736},[630],[569,3738],{"className":3739},[689,1161],[569,3741,3743],{"className":3742},[1014],[569,3744,3746,3785],{"className":3745},[643,644],[569,3747,3749,3782],{"className":3748},[648],[569,3750,3752,3763,3771],{"className":3751,"style":2932},[652],[569,3753,3754,3757],{"style":1177},[569,3755],{"className":3756,"style":1181},[660],[569,3758,3760],{"className":3759},[630],[569,3761,3532],{"className":3762},[630],[569,3764,3765,3768],{"style":1199},[569,3766],{"className":3767,"style":1181},[660],[569,3769],{"className":3770,"style":1207},[1206],[569,3772,3773,3776],{"style":1210},[569,3774],{"className":3775,"style":1181},[660],[569,3777,3779],{"className":3778},[630],[569,3780,3203],{"className":3781},[630],[569,3783,676],{"className":3784},[675],[569,3786,3788],{"className":3787},[648],[569,3789,3791],{"className":3790,"style":3090},[652],[569,3792],{},[569,3794],{"className":3795},[697,1161],[569,3797],{"className":3798,"style":891},[867],[569,3800,2825],{"className":3801},[895],[569,3803],{"className":3804,"style":891},[867],[569,3806,3808,3811,3815,3821,3824,3827],{"className":3807},[621],[569,3809],{"className":3810,"style":3111},[625],[569,3812,3814],{"className":3813},[630],"24",[569,3816,3818],{"className":3817},[630],[569,3819,2423],{"className":3820},[2422],[569,3822,2661],{"className":3823},[630],[569,3825],{"className":3826,"style":3128},[867],[569,3828,2836],{"className":3829},[630],[565,3831,3832,3833,3874,3875,3904,3905,3933,3934,3963,3964,3993,3994,4068,4069,4097],{},"Nur etwa jedes vierte Teil mit Alarm ist also wirklich defekt. Mit Häufigkeiten wird das anschaulich: Von ",[569,3834,3836,3856],{"className":3835},[572],[569,3837,3839],{"className":3838},[576],[578,3840,3841],{"xmlns":580},[582,3842,3843,3853],{},[585,3844,3845,3848,3850],{},[1848,3846,3847],{},"10",[2830,3849,2832],{},[1848,3851,3852],{},"000",[609,3854,3855],{"encoding":611},"10\\,000",[569,3857,3859],{"className":3858,"ariaHidden":617},[616],[569,3860,3862,3865,3868,3871],{"className":3861},[621],[569,3863],{"className":3864,"style":1890},[625],[569,3866,3847],{"className":3867},[630],[569,3869],{"className":3870,"style":3128},[867],[569,3872,3852],{"className":3873},[630]," Teilen sind ",[569,3876,3878,3892],{"className":3877},[572],[569,3879,3881],{"className":3880},[576],[578,3882,3883],{"xmlns":580},[582,3884,3885,3890],{},[585,3886,3887],{},[1848,3888,3889],{},"100",[609,3891,3889],{"encoding":611},[569,3893,3895],{"className":3894,"ariaHidden":617},[616],[569,3896,3898,3901],{"className":3897},[621],[569,3899],{"className":3900,"style":1890},[625],[569,3902,3889],{"className":3903},[630]," defekt, davon lösen ",[569,3906,3908,3921],{"className":3907},[572],[569,3909,3911],{"className":3910},[576],[578,3912,3913],{"xmlns":580},[582,3914,3915,3919],{},[585,3916,3917],{},[1848,3918,3203],{},[609,3920,3203],{"encoding":611},[569,3922,3924],{"className":3923,"ariaHidden":617},[616],[569,3925,3927,3930],{"className":3926},[621],[569,3928],{"className":3929,"style":1890},[625],[569,3931,3203],{"className":3932},[630]," Alarm aus. Von den ",[569,3935,3937,3951],{"className":3936},[572],[569,3938,3940],{"className":3939},[576],[578,3941,3942],{"xmlns":580},[582,3943,3944,3949],{},[585,3945,3946],{},[1848,3947,3948],{},"9900",[609,3950,3948],{"encoding":611},[569,3952,3954],{"className":3953,"ariaHidden":617},[616],[569,3955,3957,3960],{"className":3956},[621],[569,3958],{"className":3959,"style":1890},[625],[569,3961,3948],{"className":3962},[630]," intakten Teilen lösen ",[569,3965,3967,3981],{"className":3966},[572],[569,3968,3970],{"className":3969},[576],[578,3971,3972],{"xmlns":580},[582,3973,3974,3979],{},[585,3975,3976],{},[1848,3977,3978],{},"297",[609,3980,3978],{"encoding":611},[569,3982,3984],{"className":3983,"ariaHidden":617},[616],[569,3985,3987,3990],{"className":3986},[621],[569,3988],{"className":3989,"style":1890},[625],[569,3991,3978],{"className":3992},[630]," Alarm aus. Unter allen ",[569,3995,3997,4019],{"className":3996},[572],[569,3998,4000],{"className":3999},[576],[578,4001,4002],{"xmlns":580},[582,4003,4004,4016],{},[585,4005,4006,4008,4010,4012,4014],{},[1848,4007,3203],{},[598,4009,1510],{},[1848,4011,3978],{},[598,4013,819],{},[1848,4015,3532],{},[609,4017,4018],{"encoding":611},"98 + 297 = 395",[569,4020,4022,4041,4059],{"className":4021,"ariaHidden":617},[616],[569,4023,4025,4029,4032,4035,4038],{"className":4024},[621],[569,4026],{"className":4027,"style":4028},[625],"height:0.7278em;vertical-align:-0.0833em;",[569,4030,3203],{"className":4031},[630],[569,4033],{"className":4034,"style":868},[867],[569,4036,1510],{"className":4037},[872],[569,4039],{"className":4040,"style":868},[867],[569,4042,4044,4047,4050,4053,4056],{"className":4043},[621],[569,4045],{"className":4046,"style":1890},[625],[569,4048,3978],{"className":4049},[630],[569,4051],{"className":4052,"style":891},[867],[569,4054,819],{"className":4055},[895],[569,4057],{"className":4058,"style":891},[867],[569,4060,4062,4065],{"className":4061},[621],[569,4063],{"className":4064,"style":1890},[625],[569,4066,3532],{"className":4067},[630]," Alarmen sind nur ",[569,4070,4072,4085],{"className":4071},[572],[569,4073,4075],{"className":4074},[576],[578,4076,4077],{"xmlns":580},[582,4078,4079,4083],{},[585,4080,4081],{},[1848,4082,3203],{},[609,4084,3203],{"encoding":611},[569,4086,4088],{"className":4087,"ariaHidden":617},[616],[569,4089,4091,4094],{"className":4090},[621],[569,4092],{"className":4093,"style":1890},[625],[569,4095,3203],{"className":4096},[630]," echte.",[560,4099,4101],{"id":4100},"typische-fehler","Typische Fehler",[4103,4104,4105,4530,4653,4730],"ul",{},[4106,4107,4108,4192,4193,4277,4278,4396,4397,4481,4482,3274],"li",{},[569,4109,4111,4134],{"className":4110},[572],[569,4112,4114],{"className":4113},[576],[578,4115,4116],{"xmlns":580},[582,4117,4118,4132],{},[585,4119,4120,4126,4128,4130],{},[588,4121,4122,4124],{},[591,4123,593],{},[591,4125,604],{},[598,4127,601],{"stretchy":600},[591,4129,596],{},[598,4131,607],{"stretchy":600},[609,4133,725],{"encoding":611},[569,4135,4137],{"className":4136,"ariaHidden":617},[616],[569,4138,4140,4143,4183,4186,4189],{"className":4139},[621],[569,4141],{"className":4142,"style":626},[625],[569,4144,4146,4149],{"className":4145},[630],[569,4147,593],{"className":4148,"style":635},[630,634],[569,4150,4152],{"className":4151},[639],[569,4153,4155,4175],{"className":4154},[643,644],[569,4156,4158,4172],{"className":4157},[648],[569,4159,4161],{"className":4160,"style":653},[652],[569,4162,4163,4166],{"style":656},[569,4164],{"className":4165,"style":661},[660],[569,4167,4169],{"className":4168},[665,666,667,668],[569,4170,604],{"className":4171,"style":693},[630,634,668],[569,4173,676],{"className":4174},[675],[569,4176,4178],{"className":4177},[648],[569,4179,4181],{"className":4180,"style":683},[652],[569,4182],{},[569,4184,601],{"className":4185},[689],[569,4187,596],{"className":4188},[630,634],[569,4190,607],{"className":4191},[697]," mit ",[569,4194,4196,4219],{"className":4195},[572],[569,4197,4199],{"className":4198},[576],[578,4200,4201],{"xmlns":580},[582,4202,4203,4217],{},[585,4204,4205,4211,4213,4215],{},[588,4206,4207,4209],{},[591,4208,593],{},[591,4210,596],{},[598,4212,601],{"stretchy":600},[591,4214,604],{},[598,4216,607],{"stretchy":600},[609,4218,612],{"encoding":611},[569,4220,4222],{"className":4221,"ariaHidden":617},[616],[569,4223,4225,4228,4268,4271,4274],{"className":4224},[621],[569,4226],{"className":4227,"style":626},[625],[569,4229,4231,4234],{"className":4230},[630],[569,4232,593],{"className":4233,"style":635},[630,634],[569,4235,4237],{"className":4236},[639],[569,4238,4240,4260],{"className":4239},[643,644],[569,4241,4243,4257],{"className":4242},[648],[569,4244,4246],{"className":4245,"style":653},[652],[569,4247,4248,4251],{"style":656},[569,4249],{"className":4250,"style":661},[660],[569,4252,4254],{"className":4253},[665,666,667,668],[569,4255,596],{"className":4256},[630,634,668],[569,4258,676],{"className":4259},[675],[569,4261,4263],{"className":4262},[648],[569,4264,4266],{"className":4265,"style":683},[652],[569,4267],{},[569,4269,601],{"className":4270},[689],[569,4272,604],{"className":4273,"style":693},[630,634],[569,4275,607],{"className":4276},[697]," gleichsetzen. Im zweiten Beispiel ist ",[569,4279,4281,4313],{"className":4280},[572],[569,4282,4284],{"className":4283},[576],[578,4285,4286],{"xmlns":580},[582,4287,4288,4310],{},[585,4289,4290,4296,4298,4300,4302,4304,4306,4308],{},[588,4291,4292,4294],{},[591,4293,593],{},[591,4295,596],{},[598,4297,601],{"stretchy":600},[591,4299,604],{},[598,4301,607],{"stretchy":600},[598,4303,819],{},[1848,4305,3203],{},[2830,4307,2832],{},[591,4309,2836],{"mathvariant":2835},[609,4311,4312],{"encoding":611},"P_A(B) = 98\\,\\%",[569,4314,4316,4380],{"className":4315,"ariaHidden":617},[616],[569,4317,4319,4322,4362,4365,4368,4371,4374,4377],{"className":4318},[621],[569,4320],{"className":4321,"style":626},[625],[569,4323,4325,4328],{"className":4324},[630],[569,4326,593],{"className":4327,"style":635},[630,634],[569,4329,4331],{"className":4330},[639],[569,4332,4334,4354],{"className":4333},[643,644],[569,4335,4337,4351],{"className":4336},[648],[569,4338,4340],{"className":4339,"style":653},[652],[569,4341,4342,4345],{"style":656},[569,4343],{"className":4344,"style":661},[660],[569,4346,4348],{"className":4347},[665,666,667,668],[569,4349,596],{"className":4350},[630,634,668],[569,4352,676],{"className":4353},[675],[569,4355,4357],{"className":4356},[648],[569,4358,4360],{"className":4359,"style":683},[652],[569,4361],{},[569,4363,601],{"className":4364},[689],[569,4366,604],{"className":4367,"style":693},[630,634],[569,4369,607],{"className":4370},[697],[569,4372],{"className":4373,"style":891},[867],[569,4375,819],{"className":4376},[895],[569,4378],{"className":4379,"style":891},[867],[569,4381,4383,4387,4390,4393],{"className":4382},[621],[569,4384],{"className":4385,"style":4386},[625],"height:0.8056em;vertical-align:-0.0556em;",[569,4388,3203],{"className":4389},[630],[569,4391],{"className":4392,"style":3128},[867],[569,4394,2836],{"className":4395},[630],", aber ",[569,4398,4400,4423],{"className":4399},[572],[569,4401,4403],{"className":4402},[576],[578,4404,4405],{"xmlns":580},[582,4406,4407,4421],{},[585,4408,4409,4415,4417,4419],{},[588,4410,4411,4413],{},[591,4412,593],{},[591,4414,604],{},[598,4416,601],{"stretchy":600},[591,4418,596],{},[598,4420,607],{"stretchy":600},[609,4422,725],{"encoding":611},[569,4424,4426],{"className":4425,"ariaHidden":617},[616],[569,4427,4429,4432,4472,4475,4478],{"className":4428},[621],[569,4430],{"className":4431,"style":626},[625],[569,4433,4435,4438],{"className":4434},[630],[569,4436,593],{"className":4437,"style":635},[630,634],[569,4439,4441],{"className":4440},[639],[569,4442,4444,4464],{"className":4443},[643,644],[569,4445,4447,4461],{"className":4446},[648],[569,4448,4450],{"className":4449,"style":653},[652],[569,4451,4452,4455],{"style":656},[569,4453],{"className":4454,"style":661},[660],[569,4456,4458],{"className":4457},[665,666,667,668],[569,4459,604],{"className":4460,"style":693},[630,634,668],[569,4462,676],{"className":4463},[675],[569,4465,4467],{"className":4466},[648],[569,4468,4470],{"className":4469,"style":683},[652],[569,4471],{},[569,4473,601],{"className":4474},[689],[569,4476,596],{"className":4477},[630,634],[569,4479,607],{"className":4480},[697]," nur etwa ",[569,4483,4485,4503],{"className":4484},[572],[569,4486,4488],{"className":4487},[576],[578,4489,4490],{"xmlns":580},[582,4491,4492,4500],{},[585,4493,4494,4496,4498],{},[1848,4495,3537],{},[2830,4497,2832],{},[591,4499,2836],{"mathvariant":2835},[609,4501,4502],{"encoding":611},"24{,}8\\,\\%",[569,4504,4506],{"className":4505,"ariaHidden":617},[616],[569,4507,4509,4512,4515,4521,4524,4527],{"className":4508},[621],[569,4510],{"className":4511,"style":3111},[625],[569,4513,3814],{"className":4514},[630],[569,4516,4518],{"className":4517},[630],[569,4519,2423],{"className":4520},[2422],[569,4522,2661],{"className":4523},[630],[569,4525],{"className":4526,"style":3128},[867],[569,4528,2836],{"className":4529},[630],[4106,4531,4532,4533,4561,4562,4623,4624,4652],{},"Im Nenner nur den Pfad über ",[569,4534,4536,4549],{"className":4535},[572],[569,4537,4539],{"className":4538},[576],[578,4540,4541],{"xmlns":580},[582,4542,4543,4547],{},[585,4544,4545],{},[591,4546,596],{},[609,4548,596],{"encoding":611},[569,4550,4552],{"className":4551,"ariaHidden":617},[616],[569,4553,4555,4558],{"className":4554},[621],[569,4556],{"className":4557,"style":2380},[625],[569,4559,596],{"className":4560},[630,634]," nehmen und die Fehlalarme (Pfad über ",[569,4563,4565,4583],{"className":4564},[572],[569,4566,4568],{"className":4567},[576],[578,4569,4570],{"xmlns":580},[582,4571,4572,4580],{},[585,4573,4574],{},[1516,4575,4576,4578],{"accent":617},[591,4577,596],{},[598,4579,1522],{"stretchy":617},[609,4581,4582],{"encoding":611},"\\overline{A}",[569,4584,4586],{"className":4585,"ariaHidden":617},[616],[569,4587,4589,4592],{"className":4588},[621],[569,4590],{"className":4591,"style":1693},[625],[569,4593,4595],{"className":4594},[630,1683],[569,4596,4598],{"className":4597},[643],[569,4599,4601],{"className":4600},[648],[569,4602,4604,4615],{"className":4603,"style":1693},[652],[569,4605,4606,4609],{"style":1696},[569,4607],{"className":4608,"style":1181},[660],[569,4610,4612],{"className":4611},[630],[569,4613,596],{"className":4614},[630,634],[569,4616,4617,4620],{"style":1708},[569,4618],{"className":4619,"style":1181},[660],[569,4621],{"className":4622,"style":1207},[1715],") vergessen. Dann käme ",[569,4625,4627,4640],{"className":4626},[572],[569,4628,4630],{"className":4629},[576],[578,4631,4632],{"xmlns":580},[582,4633,4634,4638],{},[585,4635,4636],{},[1848,4637,2164],{},[609,4639,2164],{"encoding":611},[569,4641,4643],{"className":4642,"ariaHidden":617},[616],[569,4644,4646,4649],{"className":4645},[621],[569,4647],{"className":4648,"style":1890},[625],[569,4650,2164],{"className":4651},[630]," heraus.",[4106,4654,4655,4656,4700,4701,4729],{},"Die Grundwahrscheinlichkeit ",[569,4657,4659,4679],{"className":4658},[572],[569,4660,4662],{"className":4661},[576],[578,4663,4664],{"xmlns":580},[582,4665,4666,4676],{},[585,4667,4668,4670,4672,4674],{},[591,4669,593],{},[598,4671,601],{"stretchy":600},[591,4673,596],{},[598,4675,607],{"stretchy":600},[609,4677,4678],{"encoding":611},"P(A)",[569,4680,4682],{"className":4681,"ariaHidden":617},[616],[569,4683,4685,4688,4691,4694,4697],{"className":4684},[621],[569,4686],{"className":4687,"style":626},[625],[569,4689,593],{"className":4690,"style":635},[630,634],[569,4692,601],{"className":4693},[689],[569,4695,596],{"className":4696},[630,634],[569,4698,607],{"className":4699},[697]," ignorieren. Ist ",[569,4702,4704,4717],{"className":4703},[572],[569,4705,4707],{"className":4706},[576],[578,4708,4709],{"xmlns":580},[582,4710,4711,4715],{},[585,4712,4713],{},[591,4714,596],{},[609,4716,596],{"encoding":611},[569,4718,4720],{"className":4719,"ariaHidden":617},[616],[569,4721,4723,4726],{"className":4722},[621],[569,4724],{"className":4725,"style":2380},[625],[569,4727,596],{"className":4728},[630,634]," selten, sind auch bei einem guten Test viele Alarme falsch.",[4106,4731,4732,4851,4852,4960,4961,4998,4999,5090],{},[569,4733,4735,4762],{"className":4734},[572],[569,4736,4738],{"className":4737},[576],[578,4739,4740],{"xmlns":580},[582,4741,4742,4760],{},[585,4743,4744,4754,4756,4758],{},[588,4745,4746,4748],{},[591,4747,593],{},[1516,4749,4750,4752],{"accent":617},[591,4751,596],{},[598,4753,1522],{"stretchy":617},[598,4755,601],{"stretchy":600},[591,4757,604],{},[598,4759,607],{"stretchy":600},[609,4761,2257],{"encoding":611},[569,4763,4765],{"className":4764,"ariaHidden":617},[616],[569,4766,4768,4771,4842,4845,4848],{"className":4767},[621],[569,4769],{"className":4770,"style":1734},[625],[569,4772,4774,4777],{"className":4773},[630],[569,4775,593],{"className":4776,"style":635},[630,634],[569,4778,4780],{"className":4779},[639],[569,4781,4783,4834],{"className":4782},[643,644],[569,4784,4786,4831],{"className":4785},[648],[569,4787,4789],{"className":4788,"style":1753},[652],[569,4790,4791,4794],{"style":1756},[569,4792],{"className":4793,"style":1181},[660],[569,4795,4797],{"className":4796},[665,666,667,668],[569,4798,4800],{"className":4799},[630,668],[569,4801,4803],{"className":4802},[630,1683,668],[569,4804,4806],{"className":4805},[643],[569,4807,4809],{"className":4808},[648],[569,4810,4812,4823],{"className":4811,"style":1778},[652],[569,4813,4814,4817],{"style":1696},[569,4815],{"className":4816,"style":1181},[660],[569,4818,4820],{"className":4819},[630,668],[569,4821,596],{"className":4822},[630,634,668],[569,4824,4825,4828],{"style":1792},[569,4826],{"className":4827,"style":1181},[660],[569,4829],{"className":4830,"style":1799},[1715,668],[569,4832,676],{"className":4833},[675],[569,4835,4837],{"className":4836},[648],[569,4838,4840],{"className":4839,"style":1809},[652],[569,4841],{},[569,4843,601],{"className":4844},[689],[569,4846,604],{"className":4847,"style":693},[630,634],[569,4849,607],{"className":4850},[697]," nicht einfach als ",[569,4853,4855,4884],{"className":4854},[572],[569,4856,4858],{"className":4857},[576],[578,4859,4860],{"xmlns":580},[582,4861,4862,4881],{},[585,4863,4864,4866,4869,4875,4877,4879],{},[1848,4865,2164],{},[598,4867,4868],{},"−",[588,4870,4871,4873],{},[591,4872,593],{},[591,4874,596],{},[598,4876,601],{"stretchy":600},[591,4878,604],{},[598,4880,607],{"stretchy":600},[609,4882,4883],{"encoding":611},"1 - P_A(B)",[569,4885,4887,4905],{"className":4886,"ariaHidden":617},[616],[569,4888,4890,4893,4896,4899,4902],{"className":4889},[621],[569,4891],{"className":4892,"style":4028},[625],[569,4894,2164],{"className":4895},[630],[569,4897],{"className":4898,"style":868},[867],[569,4900,4868],{"className":4901},[872],[569,4903],{"className":4904,"style":868},[867],[569,4906,4908,4911,4951,4954,4957],{"className":4907},[621],[569,4909],{"className":4910,"style":626},[625],[569,4912,4914,4917],{"className":4913},[630],[569,4915,593],{"className":4916,"style":635},[630,634],[569,4918,4920],{"className":4919},[639],[569,4921,4923,4943],{"className":4922},[643,644],[569,4924,4926,4940],{"className":4925},[648],[569,4927,4929],{"className":4928,"style":653},[652],[569,4930,4931,4934],{"style":656},[569,4932],{"className":4933,"style":661},[660],[569,4935,4937],{"className":4936},[665,666,667,668],[569,4938,596],{"className":4939},[630,634,668],[569,4941,676],{"className":4942},[675],[569,4944,4946],{"className":4945},[648],[569,4947,4949],{"className":4948,"style":683},[652],[569,4950],{},[569,4952,601],{"className":4953},[689],[569,4955,604],{"className":4956,"style":693},[630,634],[569,4958,607],{"className":4959},[697]," ansetzen: Die Fehlalarmquote ",[569,4962,4964,4977],{"className":4963},[572],[569,4965,4967],{"className":4966},[576],[578,4968,4969],{"xmlns":580},[582,4970,4971,4975],{},[585,4972,4973],{},[1848,4974,3248],{},[609,4976,3251],{"encoding":611},[569,4978,4980],{"className":4979,"ariaHidden":617},[616],[569,4981,4983,4986,4989,4995],{"className":4982},[621],[569,4984],{"className":4985,"style":2412},[625],[569,4987,1850],{"className":4988},[630],[569,4990,4992],{"className":4991},[630],[569,4993,2423],{"className":4994},[2422],[569,4996,3273],{"className":4997},[630]," ist nicht ",[569,5000,5002,5024],{"className":5001},[572],[569,5003,5005],{"className":5004},[576],[578,5006,5007],{"xmlns":580},[582,5008,5009,5021],{},[585,5010,5011,5013,5015,5017,5019],{},[1848,5012,2164],{},[598,5014,4868],{},[1848,5016,3178],{},[598,5018,819],{},[1848,5020,2443],{},[609,5022,5023],{"encoding":611},"1 - 0{,}98 = 0{,}02",[569,5025,5027,5045,5072],{"className":5026,"ariaHidden":617},[616],[569,5028,5030,5033,5036,5039,5042],{"className":5029},[621],[569,5031],{"className":5032,"style":4028},[625],[569,5034,2164],{"className":5035},[630],[569,5037],{"className":5038,"style":868},[867],[569,5040,4868],{"className":5041},[872],[569,5043],{"className":5044,"style":868},[867],[569,5046,5048,5051,5054,5060,5063,5066,5069],{"className":5047},[621],[569,5049],{"className":5050,"style":2412},[625],[569,5052,1850],{"className":5053},[630],[569,5055,5057],{"className":5056},[630],[569,5058,2423],{"className":5059},[2422],[569,5061,3203],{"className":5062},[630],[569,5064],{"className":5065,"style":891},[867],[569,5067,819],{"className":5068},[895],[569,5070],{"className":5071,"style":891},[867],[569,5073,5075,5078,5081,5087],{"className":5074},[621],[569,5076],{"className":5077,"style":2412},[625],[569,5079,1850],{"className":5080},[630],[569,5082,5084],{"className":5083},[630],[569,5085,2423],{"className":5086},[2422],[569,5088,2468],{"className":5089},[630],". Beide Werte sind unabhängig voneinander gegeben.",{"title":5092,"searchDepth":5093,"depth":5093,"links":5094},"",2,[5095,5096,5097],{"id":562,"depth":5093,"text":563},{"id":2350,"depth":5093,"text":2351},{"id":4100,"depth":5093,"text":4101},[5099,5101,5104,5107,5110,5113,5116,5119,5122,5125,5128,5130,5132],{"lhs":5100,"rhs":2164},"q*p \u002F (p*q + (1 - p)*r) + r*(1 - p) \u002F (p*q + (1 - p)*r)",{"lhs":5102,"rhs":5103},"0.2 * 0.95 + 0.8 * 0.02","0.206",{"lhs":5105,"rhs":5106},"0.2 * 0.95","0.19",{"lhs":5108,"rhs":5109},"0.8 * 0.02","0.016",{"lhs":5111,"rhs":5112},"0.19 \u002F 0.206","95\u002F103",{"lhs":5114,"rhs":5115},"round(0.95 * 0.2 \u002F 0.206 * 100, 1)","92.2",{"lhs":5117,"rhs":5118},"0.01 * 0.98 + 0.99 * 0.03","0.0395",{"lhs":5120,"rhs":5121},"0.98 * 0.01 \u002F 0.0395","98\u002F395",{"lhs":5123,"rhs":5124},"round(0.98 * 0.01 \u002F 0.0395 * 100, 1)","24.8",{"lhs":5126,"rhs":5127},"1 - 0.98","0.02",{"lhs":5129,"rhs":3203},"0.98 * 100",{"lhs":5131,"rhs":3978},"0.03 * 9900",{"lhs":5133,"rhs":5134},"98 \u002F (98 + 297)","(98\u002F10000) \u002F (395\u002F10000)","P(A) > 0,\\ P(B) > 0","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>P\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>A\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>>\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">P(A) > 0,\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8389em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>P\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>B\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>>\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">P(B) > 0\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0502em;\">B\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6444em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","bayes-theorem","P_B(A) = \\frac{P_A(B) \\cdot P(A)}{P(B)}","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>P\u003C\u002Fmi>\u003Cmi>B\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>A\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmfrac>\u003Cmrow>\u003Cmsub>\u003Cmi>P\u003C\u002Fmi>\u003Cmi>A\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>B\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmi>P\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>A\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cmrow>\u003Cmi>P\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>B\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003C\u002Fmfrac>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">P_B(A) = \\frac{P_A(B) \\cdot P(A)}{P(B)}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3283em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0502em;\">B\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:2.363em;vertical-align:-0.936em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.427em;\">\u003Cspan style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0502em;\">B\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.23em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.677em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3283em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\">A\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0502em;\">B\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">⋅\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.936em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","upper",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Fstochastics\u002Fsatz-von-bayes",[],[5148,5149,5150],"conditional-probability","path-addition-rule","path-multiplication-rule",{"title":548,"description":5092},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fsatz-von-bayes","Der Satz von Bayes dreht eine bedingte Wahrscheinlichkeit um und berechnet P_B(A) aus P_A(B).",[5155,5156,5157,5158],"bedingte wahrscheinlichkeit","baumdiagramm","umgekehrtes baumdiagramm","totale wahrscheinlichkeit",[5160,5164,5167,5170,5173],{"symbol":5161,"meaning":5162,"symbolHtml":5163},"A, B","zwei Ereignisse, z.B. A „Ursache“ und B „beobachtetes Merkmal“","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>A\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmi>B\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">A, B\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8778em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0502em;\">B\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":725,"meaning":5165,"symbolHtml":5166},"gesuchte Wahrscheinlichkeit von A unter der Bedingung B, auch P(A | B)","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>P\u003C\u002Fmi>\u003Cmi>B\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>A\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">P_B(A)\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3283em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0502em;\">B\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":612,"meaning":5168,"symbolHtml":5169},"bekannte Wahrscheinlichkeit von B unter der Bedingung A, auch P(B | A)","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>P\u003C\u002Fmi>\u003Cmi>A\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>B\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">P_A(B)\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3283em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\">A\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0502em;\">B\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":4678,"meaning":5171,"symbolHtml":5172},"Wahrscheinlichkeit von A ohne weiteres Wissen","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>P\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>A\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">P(A)\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":1434,"meaning":5174,"symbolHtml":5175},"Gesamtwahrscheinlichkeit von B","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>P\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>B\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">P(B)\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0502em;\">B\u003C\u002Fspan>\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","iWesBdExZIdVll8h2JvwJu3-LtaxmI_fz_QLSxfItyQ",[5178,5181,5184],{"stem":5179,"title":5180,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fbedingte-wahrscheinlichkeit","Bedingte Wahrscheinlichkeit",{"stem":5182,"title":5183,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fpfadadditionsregel","Pfadadditionsregel",{"stem":5185,"title":5186,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fpfadmultiplikationsregel","Pfadmultiplikationsregel",1793824287480]