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überschneiden sich nicht, und zusammen decken sie alles ab. Im einfachsten Fall sind es zwei: ",[573,1038,1040,1053],{"className":1039},[576],[573,1041,1043],{"className":1042},[580],[582,1044,1045],{"xmlns":584},[586,1046,1047,1051],{},[589,1048,1049],{},[595,1050,602],{},[618,1052,602],{"encoding":620},[573,1054,1056],{"className":1055,"ariaHidden":626},[625],[573,1057,1059,1062],{"className":1058},[630],[573,1060],{"className":1061,"style":879},[634],[573,1063,602],{"className":1064},[639,643]," und das Gegenereignis ",[573,1067,1069,1089],{"className":1068},[576],[573,1070,1072],{"className":1071},[580],[582,1073,1074],{"xmlns":584},[586,1075,1076,1086],{},[589,1077,1078],{},[1079,1080,1081,1083],"mover",{"accent":626},[595,1082,602],{},[607,1084,1085],{"stretchy":626},"‾",[618,1087,1088],{"encoding":620},"\\overline{A}",[573,1090,1092],{"className":1091,"ariaHidden":626},[625],[573,1093,1095,1099],{"className":1094},[630],[573,1096],{"className":1097,"style":1098},[634],"height:0.8833em;",[573,1100,1103],{"className":1101},[639,1102],"overline",[573,1104,1106],{"className":1105},[652],[573,1107,1109],{"className":1108},[657],[573,1110,1112,1125],{"className":1111,"style":1098},[661],[573,1113,1115,1119],{"style":1114},"top:-3em;",[573,1116],{"className":1117,"style":1118},[669],"height:3em;",[573,1120,1122],{"className":1121},[639],[573,1123,602],{"className":1124},[639,643],[573,1126,1128,1131],{"style":1127},"top:-3.8033em;",[573,1129],{"className":1130,"style":1118},[669],[573,1132],{"className":1133,"style":1135},[1134],"overline-line","border-bottom-width:0.04em;",":",[573,1138,1141],{"className":1139},[1140],"katex-display",[573,1142,1144,1224],{"className":1143},[576],[573,1145,1147],{"className":1146},[580],[582,1148,1150],{"xmlns":584,"display":1149},"block",[586,1151,1152,1221],{},[589,1153,1154,1156,1158,1160,1162,1165,1167,1169,1171,1173,1176,1182,1184,1186,1188,1191,1193,1195,1201,1203,1205,1215,1217,1219],{},[595,1155,597],{},[607,1157,610],{"stretchy":609},[595,1159,613],{},[607,1161,616],{"stretchy":609},[607,1163,1164],{},"=",[595,1166,597],{},[607,1168,610],{"stretchy":609},[595,1170,602],{},[607,1172,616],{"stretchy":609},[607,1174,1175],{},"⋅",[592,1177,1178,1180],{},[595,1179,597],{},[595,1181,602],{},[607,1183,610],{"stretchy":609},[595,1185,613],{},[607,1187,616],{"stretchy":609},[607,1189,1190],{},"+",[595,1192,597],{},[607,1194,610],{"stretchy":609},[1079,1196,1197,1199],{"accent":626},[595,1198,602],{},[607,1200,1085],{"stretchy":626},[607,1202,616],{"stretchy":609},[607,1204,1175],{},[592,1206,1207,1209],{},[595,1208,597],{},[1079,1210,1211,1213],{"accent":626},[595,1212,602],{},[607,1214,1085],{"stretchy":626},[607,1216,610],{"stretchy":609},[595,1218,613],{},[607,1220,616],{"stretchy":609},[618,1222,1223],{"encoding":620},"P(B) = P(A) \\cdot P_A(B) + P(\\overline{A}) \\cdot P_{\\overline{A}}(B)",[573,1225,1227,1256,1285,1349,1405],{"className":1226,"ariaHidden":626},[625],[573,1228,1230,1233,1236,1239,1242,1245,1249,1253],{"className":1229},[630],[573,1231],{"className":1232,"style":790},[634],[573,1234,597],{"className":1235,"style":644},[639,643],[573,1237,610],{"className":1238},[744],[573,1240,613],{"className":1241,"style":748},[639,643],[573,1243,616],{"className":1244},[752],[573,1246],{"className":1247,"style":1248},[980],"margin-right:0.2778em;",[573,1250,1164],{"className":1251},[1252],"mrel",[573,1254],{"className":1255,"style":1248},[980],[573,1257,1259,1262,1265,1268,1271,1274,1278,1282],{"className":1258},[630],[573,1260],{"className":1261,"style":790},[634],[573,1263,597],{"className":1264,"style":644},[639,643],[573,1266,610],{"className":1267},[744],[573,1269,602],{"className":1270},[639,643],[573,1272,616],{"className":1273},[752],[573,1275],{"className":1276,"style":1277},[980],"margin-right:0.2222em;",[573,1279,1175],{"className":1280},[1281],"mbin",[573,1283],{"className":1284,"style":1277},[980],[573,1286,1288,1291,1331,1334,1337,1340,1343,1346],{"className":1287},[630],[573,1289],{"className":1290,"style":790},[634],[573,1292,1294,1297],{"className":1293},[639],[573,1295,597],{"className":1296,"style":644},[639,643],[573,1298,1300],{"className":1299},[648],[573,1301,1303,1323],{"className":1302},[652,653],[573,1304,1306,1320],{"className":1305},[657],[573,1307,1309],{"className":1308,"style":662},[661],[573,1310,1311,1314],{"style":665},[573,1312],{"className":1313,"style":670},[669],[573,1315,1317],{"className":1316},[674,675,676,677],[573,1318,602],{"className":1319},[639,643,677],[573,1321,719],{"className":1322},[718],[573,1324,1326],{"className":1325},[657],[573,1327,1329],{"className":1328,"style":837},[661],[573,1330],{},[573,1332,610],{"className":1333},[744],[573,1335,613],{"className":1336,"style":748},[639,643],[573,1338,616],{"className":1339},[752],[573,1341],{"className":1342,"style":1277},[980],[573,1344,1190],{"className":1345},[1281],[573,1347],{"className":1348,"style":1277},[980],[573,1350,1352,1356,1359,1362,1393,1396,1399,1402],{"className":1351},[630],[573,1353],{"className":1354,"style":1355},[634],"height:1.1333em;vertical-align:-0.25em;",[573,1357,597],{"className":1358,"style":644},[639,643],[573,1360,610],{"className":1361},[744],[573,1363,1365],{"className":1364},[639,1102],[573,1366,1368],{"className":1367},[652],[573,1369,1371],{"className":1370},[657],[573,1372,1374,1385],{"className":1373,"style":1098},[661],[573,1375,1376,1379],{"style":1114},[573,1377],{"className":1378,"style":1118},[669],[573,1380,1382],{"className":1381},[639],[573,1383,602],{"className":1384},[639,643],[573,1386,1387,1390],{"style":1127},[573,1388],{"className":1389,"style":1118},[669],[573,1391],{"className":1392,"style":1135},[1134],[573,1394,616],{"className":1395},[752],[573,1397],{"className":1398,"style":1277},[980],[573,1400,1175],{"className":1401},[1281],[573,1403],{"className":1404,"style":1277},[980],[573,1406,1408,1412,1489,1492,1495],{"className":1407},[630],[573,1409],{"className":1410,"style":1411},[634],"height:1.055em;vertical-align:-0.305em;",[573,1413,1415,1418],{"className":1414},[639],[573,1416,597],{"className":1417,"style":644},[639,643],[573,1419,1421],{"className":1420},[648],[573,1422,1424,1480],{"className":1423},[652,653],[573,1425,1427,1477],{"className":1426},[657],[573,1428,1431],{"className":1429,"style":1430},[661],"height:0.3448em;",[573,1432,1434,1437],{"style":1433},"top:-2.695em;margin-left:-0.1389em;margin-right:0.05em;",[573,1435],{"className":1436,"style":1118},[669],[573,1438,1440],{"className":1439},[674,675,676,677],[573,1441,1443],{"className":1442},[639,677],[573,1444,1446],{"className":1445},[639,1102,677],[573,1447,1449],{"className":1448},[652],[573,1450,1452],{"className":1451},[657],[573,1453,1456,1467],{"className":1454,"style":1455},[661],"height:0.9283em;",[573,1457,1458,1461],{"style":1114},[573,1459],{"className":1460,"style":1118},[669],[573,1462,1464],{"className":1463},[639,677],[573,1465,602],{"className":1466},[639,643,677],[573,1468,1470,1473],{"style":1469},"top:-3.8303em;",[573,1471],{"className":1472,"style":1118},[669],[573,1474],{"className":1475,"style":1476},[1134,677],"border-bottom-width:0.049em;",[573,1478,719],{"className":1479},[718],[573,1481,1483],{"className":1482},[657],[573,1484,1487],{"className":1485,"style":1486},[661],"height:0.305em;",[573,1488],{},[573,1490,610],{"className":1491},[744],[573,1493,613],{"className":1494,"style":748},[639,643],[573,1496,616],{"className":1497},[752],[564,1499,1500,1501,1504,1505,1533],{},"Im ",[568,1502,1503],{},"Baumdiagramm"," ist das genau die Pfadmultiplikationsregel entlang jedes Pfads zu ",[573,1506,1508,1521],{"className":1507},[576],[573,1509,1511],{"className":1510},[580],[582,1512,1513],{"xmlns":584},[586,1514,1515,1519],{},[589,1516,1517],{},[595,1518,613],{},[618,1520,613],{"encoding":620},[573,1522,1524],{"className":1523,"ariaHidden":626},[625],[573,1525,1527,1530],{"className":1526},[630],[573,1528],{"className":1529,"style":879},[634],[573,1531,613],{"className":1532,"style":748},[639,643]," und danach die Pfadadditionsregel über alle diese Pfade.",[564,1535,1536,1537,1581],{},"Das Ergebnis ",[573,1538,1540,1560],{"className":1539},[576],[573,1541,1543],{"className":1542},[580],[582,1544,1545],{"xmlns":584},[586,1546,1547,1557],{},[589,1548,1549,1551,1553,1555],{},[595,1550,597],{},[607,1552,610],{"stretchy":609},[595,1554,613],{},[607,1556,616],{"stretchy":609},[618,1558,1559],{"encoding":620},"P(B)",[573,1561,1563],{"className":1562,"ariaHidden":626},[625],[573,1564,1566,1569,1572,1575,1578],{"className":1565},[630],[573,1567],{"className":1568,"style":790},[634],[573,1570,597],{"className":1571,"style":644},[639,643],[573,1573,610],{"className":1574},[744],[573,1576,613],{"className":1577,"style":748},[639,643],[573,1579,616],{"className":1580},[752]," wird oft als Nenner im Satz von Bayes gebraucht.",[559,1583,1585],{"id":1584},"beispiele","Beispiele",[564,1587,1588,1589,1663,1664,1708,1709,1749,1750,1663,1820,1860,1861,1901,1902,1931],{},"Maschine ",[573,1590,1592,1611],{"className":1591},[576],[573,1593,1595],{"className":1594},[580],[582,1596,1597],{"xmlns":584},[586,1598,1599,1608],{},[589,1600,1601],{},[592,1602,1603,1606],{},[595,1604,1605],{},"M",[901,1607,903],{},[618,1609,1610],{"encoding":620},"M_1",[573,1612,1614],{"className":1613,"ariaHidden":626},[625],[573,1615,1617,1621],{"className":1616},[630],[573,1618],{"className":1619,"style":1620},[634],"height:0.8333em;vertical-align:-0.15em;",[573,1622,1624,1628],{"className":1623},[639],[573,1625,1605],{"className":1626,"style":1627},[639,643],"margin-right:0.109em;",[573,1629,1631],{"className":1630},[648],[573,1632,1634,1655],{"className":1633},[652,653],[573,1635,1637,1652],{"className":1636},[657],[573,1638,1640],{"className":1639,"style":950},[661],[573,1641,1643,1646],{"style":1642},"top:-2.55em;margin-left:-0.109em;margin-right:0.05em;",[573,1644],{"className":1645,"style":670},[669],[573,1647,1649],{"className":1648},[674,675,676,677],[573,1650,903],{"className":1651},[639,677],[573,1653,719],{"className":1654},[718],[573,1656,1658],{"className":1657},[657],[573,1659,1661],{"className":1660,"style":837},[661],[573,1662],{}," stellt ",[573,1665,1667,1689],{"className":1666},[576],[573,1668,1670],{"className":1669},[580],[582,1671,1672],{"xmlns":584},[586,1673,1674,1686],{},[589,1675,1676,1679,1683],{},[901,1677,1678],{},"60",[1680,1681,1682],"mtext",{}," ",[595,1684,1685],{"mathvariant":865},"%",[618,1687,1688],{"encoding":620},"60\\,\\%",[573,1690,1692],{"className":1691,"ariaHidden":626},[625],[573,1693,1695,1699,1702,1705],{"className":1694},[630],[573,1696],{"className":1697,"style":1698},[634],"height:0.8056em;vertical-align:-0.0556em;",[573,1700,1678],{"className":1701},[639],[573,1703],{"className":1704,"style":981},[980],[573,1706,1685],{"className":1707},[639]," der Teile her, davon sind ",[573,1710,1712,1731],{"className":1711},[576],[573,1713,1715],{"className":1714},[580],[582,1716,1717],{"xmlns":584},[586,1718,1719,1728],{},[589,1720,1721,1724,1726],{},[901,1722,1723],{},"2",[1680,1725,1682],{},[595,1727,1685],{"mathvariant":865},[618,1729,1730],{"encoding":620},"2\\,\\%",[573,1732,1734],{"className":1733,"ariaHidden":626},[625],[573,1735,1737,1740,1743,1746],{"className":1736},[630],[573,1738],{"className":1739,"style":1698},[634],[573,1741,1723],{"className":1742},[639],[573,1744],{"className":1745,"style":981},[980],[573,1747,1685],{"className":1748},[639]," fehlerhaft. Maschine ",[573,1751,1753,1771],{"className":1752},[576],[573,1754,1756],{"className":1755},[580],[582,1757,1758],{"xmlns":584},[586,1759,1760,1768],{},[589,1761,1762],{},[592,1763,1764,1766],{},[595,1765,1605],{},[901,1767,1723],{},[618,1769,1770],{"encoding":620},"M_2",[573,1772,1774],{"className":1773,"ariaHidden":626},[625],[573,1775,1777,1780],{"className":1776},[630],[573,1778],{"className":1779,"style":1620},[634],[573,1781,1783,1786],{"className":1782},[639],[573,1784,1605],{"className":1785,"style":1627},[639,643],[573,1787,1789],{"className":1788},[648],[573,1790,1792,1812],{"className":1791},[652,653],[573,1793,1795,1809],{"className":1794},[657],[573,1796,1798],{"className":1797,"style":950},[661],[573,1799,1800,1803],{"style":1642},[573,1801],{"className":1802,"style":670},[669],[573,1804,1806],{"className":1805},[674,675,676,677],[573,1807,1723],{"className":1808},[639,677],[573,1810,719],{"className":1811},[718],[573,1813,1815],{"className":1814},[657],[573,1816,1818],{"className":1817,"style":837},[661],[573,1819],{},[573,1821,1823,1842],{"className":1822},[576],[573,1824,1826],{"className":1825},[580],[582,1827,1828],{"xmlns":584},[586,1829,1830,1839],{},[589,1831,1832,1835,1837],{},[901,1833,1834],{},"40",[1680,1836,1682],{},[595,1838,1685],{"mathvariant":865},[618,1840,1841],{"encoding":620},"40\\,\\%",[573,1843,1845],{"className":1844,"ariaHidden":626},[625],[573,1846,1848,1851,1854,1857],{"className":1847},[630],[573,1849],{"className":1850,"style":1698},[634],[573,1852,1834],{"className":1853},[639],[573,1855],{"className":1856,"style":981},[980],[573,1858,1685],{"className":1859},[639]," her, davon sind ",[573,1862,1864,1883],{"className":1863},[576],[573,1865,1867],{"className":1866},[580],[582,1868,1869],{"xmlns":584},[586,1870,1871,1880],{},[589,1872,1873,1876,1878],{},[901,1874,1875],{},"5",[1680,1877,1682],{},[595,1879,1685],{"mathvariant":865},[618,1881,1882],{"encoding":620},"5\\,\\%",[573,1884,1886],{"className":1885,"ariaHidden":626},[625],[573,1887,1889,1892,1895,1898],{"className":1888},[630],[573,1890],{"className":1891,"style":1698},[634],[573,1893,1875],{"className":1894},[639],[573,1896],{"className":1897,"style":981},[980],[573,1899,1685],{"className":1900},[639]," fehlerhaft. Wahrscheinlichkeit, dass ein zufällig gewähltes Teil fehlerhaft ist (",[573,1903,1905,1919],{"className":1904},[576],[573,1906,1908],{"className":1907},[580],[582,1909,1910],{"xmlns":584},[586,1911,1912,1917],{},[589,1913,1914],{},[595,1915,1916],{},"F",[618,1918,1916],{"encoding":620},[573,1920,1922],{"className":1921,"ariaHidden":626},[625],[573,1923,1925,1928],{"className":1924},[630],[573,1926],{"className":1927,"style":879},[634],[573,1929,1916],{"className":1930,"style":644},[639,643],"):",[573,1933,1935],{"className":1934},[1140],[573,1936,1938,1992],{"className":1937},[576],[573,1939,1941],{"className":1940},[580],[582,1942,1943],{"xmlns":584,"display":1149},[586,1944,1945,1989],{},[589,1946,1947,1949,1951,1953,1955,1957,1960,1962,1965,1967,1970,1972,1975,1977,1980,1982,1984,1986],{},[595,1948,597],{},[607,1950,610],{"stretchy":609},[595,1952,1916],{},[607,1954,616],{"stretchy":609},[607,1956,1164],{},[901,1958,1959],{},"0,6",[607,1961,1175],{},[901,1963,1964],{},"0,02",[607,1966,1190],{},[901,1968,1969],{},"0,4",[607,1971,1175],{},[901,1973,1974],{},"0,05",[607,1976,1164],{},[901,1978,1979],{},"0,012",[607,1981,1190],{},[901,1983,1964],{},[607,1985,1164],{},[901,1987,1988],{},"0,032",[618,1990,1991],{"encoding":620},"P(F) = 0{,}6 \\cdot 0{,}02 + 0{,}4 \\cdot 0{,}05 = 0{,}012 + 0{,}02 = 0{,}032",[573,1993,1995,2022,2052,2080,2108,2136,2164,2191],{"className":1994,"ariaHidden":626},[625],[573,1996,1998,2001,2004,2007,2010,2013,2016,2019],{"className":1997},[630],[573,1999],{"className":2000,"style":790},[634],[573,2002,597],{"className":2003,"style":644},[639,643],[573,2005,610],{"className":2006},[744],[573,2008,1916],{"className":2009,"style":644},[639,643],[573,2011,616],{"className":2012},[752],[573,2014],{"className":2015,"style":1248},[980],[573,2017,1164],{"className":2018},[1252],[573,2020],{"className":2021,"style":1248},[980],[573,2023,2025,2029,2033,2039,2043,2046,2049],{"className":2024},[630],[573,2026],{"className":2027,"style":2028},[634],"height:0.8389em;vertical-align:-0.1944em;",[573,2030,2032],{"className":2031},[639],"0",[573,2034,2036],{"className":2035},[639],[573,2037,906],{"className":2038},[976],[573,2040,2042],{"className":2041},[639],"6",[573,2044],{"className":2045,"style":1277},[980],[573,2047,1175],{"className":2048},[1281],[573,2050],{"className":2051,"style":1277},[980],[573,2053,2055,2058,2061,2067,2071,2074,2077],{"className":2054},[630],[573,2056],{"className":2057,"style":2028},[634],[573,2059,2032],{"className":2060},[639],[573,2062,2064],{"className":2063},[639],[573,2065,906],{"className":2066},[976],[573,2068,2070],{"className":2069},[639],"02",[573,2072],{"className":2073,"style":1277},[980],[573,2075,1190],{"className":2076},[1281],[573,2078],{"className":2079,"style":1277},[980],[573,2081,2083,2086,2089,2095,2099,2102,2105],{"className":2082},[630],[573,2084],{"className":2085,"style":2028},[634],[573,2087,2032],{"className":2088},[639],[573,2090,2092],{"className":2091},[639],[573,2093,906],{"className":2094},[976],[573,2096,2098],{"className":2097},[639],"4",[573,2100],{"className":2101,"style":1277},[980],[573,2103,1175],{"className":2104},[1281],[573,2106],{"className":2107,"style":1277},[980],[573,2109,2111,2114,2117,2123,2127,2130,2133],{"className":2110},[630],[573,2112],{"className":2113,"style":2028},[634],[573,2115,2032],{"className":2116},[639],[573,2118,2120],{"className":2119},[639],[573,2121,906],{"className":2122},[976],[573,2124,2126],{"className":2125},[639],"05",[573,2128],{"className":2129,"style":1248},[980],[573,2131,1164],{"className":2132},[1252],[573,2134],{"className":2135,"style":1248},[980],[573,2137,2139,2142,2145,2151,2155,2158,2161],{"className":2138},[630],[573,2140],{"className":2141,"style":2028},[634],[573,2143,2032],{"className":2144},[639],[573,2146,2148],{"className":2147},[639],[573,2149,906],{"className":2150},[976],[573,2152,2154],{"className":2153},[639],"012",[573,2156],{"className":2157,"style":1277},[980],[573,2159,1190],{"className":2160},[1281],[573,2162],{"className":2163,"style":1277},[980],[573,2165,2167,2170,2173,2179,2182,2185,2188],{"className":2166},[630],[573,2168],{"className":2169,"style":2028},[634],[573,2171,2032],{"className":2172},[639],[573,2174,2176],{"className":2175},[639],[573,2177,906],{"className":2178},[976],[573,2180,2070],{"className":2181},[639],[573,2183],{"className":2184,"style":1248},[980],[573,2186,1164],{"className":2187},[1252],[573,2189],{"className":2190,"style":1248},[980],[573,2192,2194,2197,2200,2206],{"className":2193},[630],[573,2195],{"className":2196,"style":2028},[634],[573,2198,2032],{"className":2199},[639],[573,2201,2203],{"className":2202},[639],[573,2204,906],{"className":2205},[976],[573,2207,2209],{"className":2208},[639],"032",[564,2211,2212,2213,850,2501,2570],{},"Mit Bayes folgt daraus z.B., dass ein fehlerhaftes Teil mit ",[573,2214,2216,2254],{"className":2215},[576],[573,2217,2219],{"className":2218},[580],[582,2220,2221],{"xmlns":584},[586,2222,2223,2251],{},[589,2224,2225,2238,2240,2246,2248],{},[2226,2227,2228,2236],"mfrac",{},[589,2229,2230,2232,2234],{},[901,2231,1969],{},[607,2233,1175],{},[901,2235,1974],{},[901,2237,1988],{},[607,2239,1164],{},[2226,2241,2242,2244],{},[901,2243,1964],{},[901,2245,1988],{},[607,2247,1164],{},[901,2249,2250],{},"0,625",[618,2252,2253],{"encoding":620},"\\frac{0{,}4 \\cdot 0{,}05}{0{,}032} = \\frac{0{,}02}{0{,}032} = 0{,}625",[573,2255,2257,2381,2482],{"className":2256,"ariaHidden":626},[625],[573,2258,2260,2264,2372,2375,2378],{"className":2259},[630],[573,2261],{"className":2262,"style":2263},[634],"height:1.3783em;vertical-align:-0.4811em;",[573,2265,2267,2271,2369],{"className":2266},[639],[573,2268],{"className":2269},[744,2270],"nulldelimiter",[573,2272,2274],{"className":2273},[2226],[573,2275,2277,2360],{"className":2276},[652,653],[573,2278,2280,2357],{"className":2279},[657],[573,2281,2284,2308,2318],{"className":2282,"style":2283},[661],"height:0.8972em;",[573,2285,2287,2290],{"style":2286},"top:-2.655em;",[573,2288],{"className":2289,"style":1118},[669],[573,2291,2293],{"className":2292},[674,675,676,677],[573,2294,2296,2299,2305],{"className":2295},[639,677],[573,2297,2032],{"className":2298},[639,677],[573,2300,2302],{"className":2301},[639,677],[573,2303,906],{"className":2304},[976,677],[573,2306,2209],{"className":2307},[639,677],[573,2309,2311,2314],{"style":2310},"top:-3.23em;",[573,2312],{"className":2313,"style":1118},[669],[573,2315],{"className":2316,"style":1135},[2317],"frac-line",[573,2319,2321,2324],{"style":2320},"top:-3.4461em;",[573,2322],{"className":2323,"style":1118},[669],[573,2325,2327],{"className":2326},[674,675,676,677],[573,2328,2330,2333,2339,2342,2345,2348,2354],{"className":2329},[639,677],[573,2331,2032],{"className":2332},[639,677],[573,2334,2336],{"className":2335},[639,677],[573,2337,906],{"className":2338},[976,677],[573,2340,2098],{"className":2341},[639,677],[573,2343,1175],{"className":2344},[1281,677],[573,2346,2032],{"className":2347},[639,677],[573,2349,2351],{"className":2350},[639,677],[573,2352,906],{"className":2353},[976,677],[573,2355,2126],{"className":2356},[639,677],[573,2358,719],{"className":2359},[718],[573,2361,2363],{"className":2362},[657],[573,2364,2367],{"className":2365,"style":2366},[661],"height:0.4811em;",[573,2368],{},[573,2370],{"className":2371},[752,2270],[573,2373],{"className":2374,"style":1248},[980],[573,2376,1164],{"className":2377},[1252],[573,2379],{"className":2380,"style":1248},[980],[573,2382,2384,2387,2473,2476,2479],{"className":2383},[630],[573,2385],{"className":2386,"style":2263},[634],[573,2388,2390,2393,2470],{"className":2389},[639],[573,2391],{"className":2392},[744,2270],[573,2394,2396],{"className":2395},[2226],[573,2397,2399,2462],{"className":2398},[652,653],[573,2400,2402,2459],{"className":2401},[657],[573,2403,2405,2428,2436],{"className":2404,"style":2283},[661],[573,2406,2407,2410],{"style":2286},[573,2408],{"className":2409,"style":1118},[669],[573,2411,2413],{"className":2412},[674,675,676,677],[573,2414,2416,2419,2425],{"className":2415},[639,677],[573,2417,2032],{"className":2418},[639,677],[573,2420,2422],{"className":2421},[639,677],[573,2423,906],{"className":2424},[976,677],[573,2426,2209],{"className":2427},[639,677],[573,2429,2430,2433],{"style":2310},[573,2431],{"className":2432,"style":1118},[669],[573,2434],{"className":2435,"style":1135},[2317],[573,2437,2438,2441],{"style":2320},[573,2439],{"className":2440,"style":1118},[669],[573,2442,2444],{"className":2443},[674,675,676,677],[573,2445,2447,2450,2456],{"className":2446},[639,677],[573,2448,2032],{"className":2449},[639,677],[573,2451,2453],{"className":2452},[639,677],[573,2454,906],{"className":2455},[976,677],[573,2457,2070],{"className":2458},[639,677],[573,2460,719],{"className":2461},[718],[573,2463,2465],{"className":2464},[657],[573,2466,2468],{"className":2467,"style":2366},[661],[573,2469],{},[573,2471],{"className":2472},[752,2270],[573,2474],{"className":2475,"style":1248},[980],[573,2477,1164],{"className":2478},[1252],[573,2480],{"className":2481,"style":1248},[980],[573,2483,2485,2488,2491,2497],{"className":2484},[630],[573,2486],{"className":2487,"style":2028},[634],[573,2489,2032],{"className":2490},[639],[573,2492,2494],{"className":2493},[639],[573,2495,906],{"className":2496},[976],[573,2498,2500],{"className":2499},[639],"625",[573,2502,2504,2521],{"className":2503},[576],[573,2505,2507],{"className":2506},[580],[582,2508,2509],{"xmlns":584},[586,2510,2511,2519],{},[589,2512,2513],{},[592,2514,2515,2517],{},[595,2516,1605],{},[901,2518,1723],{},[618,2520,1770],{"encoding":620},[573,2522,2524],{"className":2523,"ariaHidden":626},[625],[573,2525,2527,2530],{"className":2526},[630],[573,2528],{"className":2529,"style":1620},[634],[573,2531,2533,2536],{"className":2532},[639],[573,2534,1605],{"className":2535,"style":1627},[639,643],[573,2537,2539],{"className":2538},[648],[573,2540,2542,2562],{"className":2541},[652,653],[573,2543,2545,2559],{"className":2544},[657],[573,2546,2548],{"className":2547,"style":950},[661],[573,2549,2550,2553],{"style":1642},[573,2551],{"className":2552,"style":670},[669],[573,2554,2556],{"className":2555},[674,675,676,677],[573,2557,1723],{"className":2558},[639,677],[573,2560,719],{"className":2561},[718],[573,2563,2565],{"className":2564},[657],[573,2566,2568],{"className":2567,"style":837},[661],[573,2569],{}," stammt.",[564,2572,2573,2574,2614,2615,2655,2656,2696,2697,2614,2736,2655,2774,1136],{},"Ein Händler bezieht Ware von drei Lieferanten zu ",[573,2575,2577,2596],{"className":2576},[576],[573,2578,2580],{"className":2579},[580],[582,2581,2582],{"xmlns":584},[586,2583,2584,2593],{},[589,2585,2586,2589,2591],{},[901,2587,2588],{},"50",[1680,2590,1682],{},[595,2592,1685],{"mathvariant":865},[618,2594,2595],{"encoding":620},"50\\,\\%",[573,2597,2599],{"className":2598,"ariaHidden":626},[625],[573,2600,2602,2605,2608,2611],{"className":2601},[630],[573,2603],{"className":2604,"style":1698},[634],[573,2606,2588],{"className":2607},[639],[573,2609],{"className":2610,"style":981},[980],[573,2612,1685],{"className":2613},[639],", ",[573,2616,2618,2637],{"className":2617},[576],[573,2619,2621],{"className":2620},[580],[582,2622,2623],{"xmlns":584},[586,2624,2625,2634],{},[589,2626,2627,2630,2632],{},[901,2628,2629],{},"30",[1680,2631,1682],{},[595,2633,1685],{"mathvariant":865},[618,2635,2636],{"encoding":620},"30\\,\\%",[573,2638,2640],{"className":2639,"ariaHidden":626},[625],[573,2641,2643,2646,2649,2652],{"className":2642},[630],[573,2644],{"className":2645,"style":1698},[634],[573,2647,2629],{"className":2648},[639],[573,2650],{"className":2651,"style":981},[980],[573,2653,1685],{"className":2654},[639]," und ",[573,2657,2659,2678],{"className":2658},[576],[573,2660,2662],{"className":2661},[580],[582,2663,2664],{"xmlns":584},[586,2665,2666,2675],{},[589,2667,2668,2671,2673],{},[901,2669,2670],{},"20",[1680,2672,1682],{},[595,2674,1685],{"mathvariant":865},[618,2676,2677],{"encoding":620},"20\\,\\%",[573,2679,2681],{"className":2680,"ariaHidden":626},[625],[573,2682,2684,2687,2690,2693],{"className":2683},[630],[573,2685],{"className":2686,"style":1698},[634],[573,2688,2670],{"className":2689},[639],[573,2691],{"className":2692,"style":981},[980],[573,2694,1685],{"className":2695},[639],". Deren Fehlerquoten sind ",[573,2698,2700,2718],{"className":2699},[576],[573,2701,2703],{"className":2702},[580],[582,2704,2705],{"xmlns":584},[586,2706,2707,2715],{},[589,2708,2709,2711,2713],{},[901,2710,903],{},[1680,2712,1682],{},[595,2714,1685],{"mathvariant":865},[618,2716,2717],{"encoding":620},"1\\,\\%",[573,2719,2721],{"className":2720,"ariaHidden":626},[625],[573,2722,2724,2727,2730,2733],{"className":2723},[630],[573,2725],{"className":2726,"style":1698},[634],[573,2728,903],{"className":2729},[639],[573,2731],{"className":2732,"style":981},[980],[573,2734,1685],{"className":2735},[639],[573,2737,2739,2756],{"className":2738},[576],[573,2740,2742],{"className":2741},[580],[582,2743,2744],{"xmlns":584},[586,2745,2746,2754],{},[589,2747,2748,2750,2752],{},[901,2749,1723],{},[1680,2751,1682],{},[595,2753,1685],{"mathvariant":865},[618,2755,1730],{"encoding":620},[573,2757,2759],{"className":2758,"ariaHidden":626},[625],[573,2760,2762,2765,2768,2771],{"className":2761},[630],[573,2763],{"className":2764,"style":1698},[634],[573,2766,1723],{"className":2767},[639],[573,2769],{"className":2770,"style":981},[980],[573,2772,1685],{"className":2773},[639],[573,2775,2777,2795],{"className":2776},[576],[573,2778,2780],{"className":2779},[580],[582,2781,2782],{"xmlns":584},[586,2783,2784,2792],{},[589,2785,2786,2788,2790],{},[901,2787,2098],{},[1680,2789,1682],{},[595,2791,1685],{"mathvariant":865},[618,2793,2794],{"encoding":620},"4\\,\\%",[573,2796,2798],{"className":2797,"ariaHidden":626},[625],[573,2799,2801,2804,2807,2810],{"className":2800},[630],[573,2802],{"className":2803,"style":1698},[634],[573,2805,2098],{"className":2806},[639],[573,2808],{"className":2809,"style":981},[980],[573,2811,1685],{"className":2812},[639],[573,2814,2816],{"className":2815},[1140],[573,2817,2819,2873],{"className":2818},[576],[573,2820,2822],{"className":2821},[580],[582,2823,2824],{"xmlns":584,"display":1149},[586,2825,2826,2870],{},[589,2827,2828,2830,2832,2834,2836,2838,2841,2843,2846,2848,2851,2853,2855,2857,2860,2862,2865,2867],{},[595,2829,597],{},[607,2831,610],{"stretchy":609},[595,2833,1916],{},[607,2835,616],{"stretchy":609},[607,2837,1164],{},[901,2839,2840],{},"0,5",[607,2842,1175],{},[901,2844,2845],{},"0,01",[607,2847,1190],{},[901,2849,2850],{},"0,3",[607,2852,1175],{},[901,2854,1964],{},[607,2856,1190],{},[901,2858,2859],{},"0,2",[607,2861,1175],{},[901,2863,2864],{},"0,04",[607,2866,1164],{},[901,2868,2869],{},"0,019",[618,2871,2872],{"encoding":620},"P(F) = 0{,}5 \\cdot 0{,}01 + 0{,}3 \\cdot 0{,}02 + 0{,}2 \\cdot 0{,}04 = 0{,}019",[573,2874,2876,2903,2930,2958,2986,3013,3040,3068],{"className":2875,"ariaHidden":626},[625],[573,2877,2879,2882,2885,2888,2891,2894,2897,2900],{"className":2878},[630],[573,2880],{"className":2881,"style":790},[634],[573,2883,597],{"className":2884,"style":644},[639,643],[573,2886,610],{"className":2887},[744],[573,2889,1916],{"className":2890,"style":644},[639,643],[573,2892,616],{"className":2893},[752],[573,2895],{"className":2896,"style":1248},[980],[573,2898,1164],{"className":2899},[1252],[573,2901],{"className":2902,"style":1248},[980],[573,2904,2906,2909,2912,2918,2921,2924,2927],{"className":2905},[630],[573,2907],{"className":2908,"style":2028},[634],[573,2910,2032],{"className":2911},[639],[573,2913,2915],{"className":2914},[639],[573,2916,906],{"className":2917},[976],[573,2919,1875],{"className":2920},[639],[573,2922],{"className":2923,"style":1277},[980],[573,2925,1175],{"className":2926},[1281],[573,2928],{"className":2929,"style":1277},[980],[573,2931,2933,2936,2939,2945,2949,2952,2955],{"className":2932},[630],[573,2934],{"className":2935,"style":2028},[634],[573,2937,2032],{"className":2938},[639],[573,2940,2942],{"className":2941},[639],[573,2943,906],{"className":2944},[976],[573,2946,2948],{"className":2947},[639],"01",[573,2950],{"className":2951,"style":1277},[980],[573,2953,1190],{"className":2954},[1281],[573,2956],{"className":2957,"style":1277},[980],[573,2959,2961,2964,2967,2973,2977,2980,2983],{"className":2960},[630],[573,2962],{"className":2963,"style":2028},[634],[573,2965,2032],{"className":2966},[639],[573,2968,2970],{"className":2969},[639],[573,2971,906],{"className":2972},[976],[573,2974,2976],{"className":2975},[639],"3",[573,2978],{"className":2979,"style":1277},[980],[573,2981,1175],{"className":2982},[1281],[573,2984],{"className":2985,"style":1277},[980],[573,2987,2989,2992,2995,3001,3004,3007,3010],{"className":2988},[630],[573,2990],{"className":2991,"style":2028},[634],[573,2993,2032],{"className":2994},[639],[573,2996,2998],{"className":2997},[639],[573,2999,906],{"className":3000},[976],[573,3002,2070],{"className":3003},[639],[573,3005],{"className":3006,"style":1277},[980],[573,3008,1190],{"className":3009},[1281],[573,3011],{"className":3012,"style":1277},[980],[573,3014,3016,3019,3022,3028,3031,3034,3037],{"className":3015},[630],[573,3017],{"className":3018,"style":2028},[634],[573,3020,2032],{"className":3021},[639],[573,3023,3025],{"className":3024},[639],[573,3026,906],{"className":3027},[976],[573,3029,1723],{"className":3030},[639],[573,3032],{"className":3033,"style":1277},[980],[573,3035,1175],{"className":3036},[1281],[573,3038],{"className":3039,"style":1277},[980],[573,3041,3043,3046,3049,3055,3059,3062,3065],{"className":3042},[630],[573,3044],{"className":3045,"style":2028},[634],[573,3047,2032],{"className":3048},[639],[573,3050,3052],{"className":3051},[639],[573,3053,906],{"className":3054},[976],[573,3056,3058],{"className":3057},[639],"04",[573,3060],{"className":3061,"style":1248},[980],[573,3063,1164],{"className":3064},[1252],[573,3066],{"className":3067,"style":1248},[980],[573,3069,3071,3074,3077,3083],{"className":3070},[630],[573,3072],{"className":3073,"style":2028},[634],[573,3075,2032],{"className":3076},[639],[573,3078,3080],{"className":3079},[639],[573,3081,906],{"className":3082},[976],[573,3084,3086],{"className":3085},[639],"019",[559,3088,3090],{"id":3089},"typische-fehler","Typische Fehler",[3092,3093,3094,3332,3573],"ul",{},[3095,3096,3097,3098,3261,3262,3331],"li",{},"Die Fehlerquoten einfach mitteln. ",[573,3099,3101,3130],{"className":3100},[576],[573,3102,3104],{"className":3103},[580],[582,3105,3106],{"xmlns":584},[586,3107,3108,3127],{},[589,3109,3110,3122,3124],{},[2226,3111,3112,3120],{},[589,3113,3114,3116,3118],{},[901,3115,1964],{},[607,3117,1190],{},[901,3119,1974],{},[901,3121,1723],{},[607,3123,1164],{},[901,3125,3126],{},"0,035",[618,3128,3129],{"encoding":620},"\\frac{0{,}02 + 0{,}05}{2} = 0{,}035",[573,3131,3133,3242],{"className":3132,"ariaHidden":626},[625],[573,3134,3136,3140,3233,3236,3239],{"className":3135},[630],[573,3137],{"className":3138,"style":3139},[634],"height:1.2422em;vertical-align:-0.345em;",[573,3141,3143,3146,3230],{"className":3142},[639],[573,3144],{"className":3145},[744,2270],[573,3147,3149],{"className":3148},[2226],[573,3150,3152,3221],{"className":3151},[652,653],[573,3153,3155,3218],{"className":3154},[657],[573,3156,3158,3172,3180],{"className":3157,"style":2283},[661],[573,3159,3160,3163],{"style":2286},[573,3161],{"className":3162,"style":1118},[669],[573,3164,3166],{"className":3165},[674,675,676,677],[573,3167,3169],{"className":3168},[639,677],[573,3170,1723],{"className":3171},[639,677],[573,3173,3174,3177],{"style":2310},[573,3175],{"className":3176,"style":1118},[669],[573,3178],{"className":3179,"style":1135},[2317],[573,3181,3182,3185],{"style":2320},[573,3183],{"className":3184,"style":1118},[669],[573,3186,3188],{"className":3187},[674,675,676,677],[573,3189,3191,3194,3200,3203,3206,3209,3215],{"className":3190},[639,677],[573,3192,2032],{"className":3193},[639,677],[573,3195,3197],{"className":3196},[639,677],[573,3198,906],{"className":3199},[976,677],[573,3201,2070],{"className":3202},[639,677],[573,3204,1190],{"className":3205},[1281,677],[573,3207,2032],{"className":3208},[639,677],[573,3210,3212],{"className":3211},[639,677],[573,3213,906],{"className":3214},[976,677],[573,3216,2126],{"className":3217},[639,677],[573,3219,719],{"className":3220},[718],[573,3222,3224],{"className":3223},[657],[573,3225,3228],{"className":3226,"style":3227},[661],"height:0.345em;",[573,3229],{},[573,3231],{"className":3232},[752,2270],[573,3234],{"className":3235,"style":1248},[980],[573,3237,1164],{"className":3238},[1252],[573,3240],{"className":3241,"style":1248},[980],[573,3243,3245,3248,3251,3257],{"className":3244},[630],[573,3246],{"className":3247,"style":2028},[634],[573,3249,2032],{"className":3250},[639],[573,3252,3254],{"className":3253},[639],[573,3255,906],{"className":3256},[976],[573,3258,3260],{"className":3259},[639],"035"," ist falsch, weil ",[573,3263,3265,3282],{"className":3264},[576],[573,3266,3268],{"className":3267},[580],[582,3269,3270],{"xmlns":584},[586,3271,3272,3280],{},[589,3273,3274],{},[592,3275,3276,3278],{},[595,3277,1605],{},[901,3279,903],{},[618,3281,1610],{"encoding":620},[573,3283,3285],{"className":3284,"ariaHidden":626},[625],[573,3286,3288,3291],{"className":3287},[630],[573,3289],{"className":3290,"style":1620},[634],[573,3292,3294,3297],{"className":3293},[639],[573,3295,1605],{"className":3296,"style":1627},[639,643],[573,3298,3300],{"className":3299},[648],[573,3301,3303,3323],{"className":3302},[652,653],[573,3304,3306,3320],{"className":3305},[657],[573,3307,3309],{"className":3308,"style":950},[661],[573,3310,3311,3314],{"style":1642},[573,3312],{"className":3313,"style":670},[669],[573,3315,3317],{"className":3316},[674,675,676,677],[573,3318,903],{"className":3319},[639,677],[573,3321,719],{"className":3322},[718],[573,3324,3326],{"className":3325},[657],[573,3327,3329],{"className":3328,"style":837},[661],[573,3330],{}," mehr produziert und deshalb stärker zählt.",[3095,3333,3334,3335,3419,3420,3449,3450,3572],{},"Fälle verwenden, die sich überschneiden oder nicht alles abdecken. Die 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müssen zusammen ",[573,3421,3423,3436],{"className":3422},[576],[573,3424,3426],{"className":3425},[580],[582,3427,3428],{"xmlns":584},[586,3429,3430,3434],{},[589,3431,3432],{},[901,3433,903],{},[618,3435,903],{"encoding":620},[573,3437,3439],{"className":3438,"ariaHidden":626},[625],[573,3440,3442,3446],{"className":3441},[630],[573,3443],{"className":3444,"style":3445},[634],"height:0.6444em;",[573,3447,903],{"className":3448},[639]," ergeben (hier ",[573,3451,3453,3479],{"className":3452},[576],[573,3454,3456],{"className":3455},[580],[582,3457,3458],{"xmlns":584},[586,3459,3460,3476],{},[589,3461,3462,3464,3466,3468,3470,3472,3474],{},[901,3463,2840],{},[607,3465,1190],{},[901,3467,2850],{},[607,3469,1190],{},[901,3471,2859],{},[607,3473,1164],{},[901,3475,903],{},[618,3477,3478],{"encoding":620},"0{,}5 + 0{,}3 + 0{,}2 = 1",[573,3480,3482,3509,3536,3563],{"className":3481,"ariaHidden":626},[625],[573,3483,3485,3488,3491,3497,3500,3503,3506],{"className":3484},[630],[573,3486],{"className":3487,"style":2028},[634],[573,3489,2032],{"className":3490},[639],[573,3492,3494],{"className":3493},[639],[573,3495,906],{"className":3496},[976],[573,3498,1875],{"className":3499},[639],[573,3501],{"className":3502,"style":1277},[980],[573,3504,1190],{"className":3505},[1281],[573,3507],{"className":3508,"style":1277},[980],[573,3510,3512,3515,3518,3524,3527,3530,3533],{"className":3511},[630],[573,3513],{"className":3514,"style":2028},[634],[573,3516,2032],{"className":3517},[639],[573,3519,3521],{"className":3520},[639],[573,3522,906],{"className":3523},[976],[573,3525,2976],{"className":3526},[639],[573,3528],{"className":3529,"style":1277},[980],[573,3531,1190],{"className":3532},[1281],[573,3534],{"className":3535,"style":1277},[980],[573,3537,3539,3542,3545,3551,3554,3557,3560],{"className":3538},[630],[573,3540],{"className":3541,"style":2028},[634],[573,3543,2032],{"className":3544},[639],[573,3546,3548],{"className":3547},[639],[573,3549,906],{"className":3550},[976],[573,3552,1723],{"className":3553},[639],[573,3555],{"className":3556,"style":1248},[980],[573,3558,1164],{"className":3559},[1252],[573,3561],{"className":3562,"style":1248},[980],[573,3564,3566,3569],{"className":3565},[630],[573,3567],{"className":3568,"style":3445},[634],[573,3570,903],{"className":3571},[639],").",[3095,3574,3575,2655,3703,3829,3830,3833,3834,3965,3966,4035],{},[573,3576,3578,3605],{"className":3577},[576],[573,3579,3581],{"className":3580},[580],[582,3582,3583],{"xmlns":584},[586,3584,3585,3603],{},[589,3586,3587,3597,3599,3601],{},[592,3588,3589,3591],{},[595,3590,597],{},[592,3592,3593,3595],{},[595,3594,602],{},[595,3596,605],{},[607,3598,610],{"stretchy":609},[595,3600,613],{},[607,3602,616],{"stretchy":609},[618,3604,621],{"encoding":620},[573,3606,3608],{"className":3607,"ariaHidden":626},[625],[573,3609,3611,3614,3694,3697,3700],{"className":3610},[630],[573,3612],{"className":3613,"style":635},[634],[573,3615,3617,3620],{"className":3616},[639],[573,3618,597],{"className":3619,"style":644},[639,643],[573,3621,3623],{"className":3622},[648],[573,3624,3626,3686],{"className":3625},[652,653],[573,3627,3629,3683],{"className":3628},[657],[573,3630,3632],{"className":3631,"style":662},[661],[573,3633,3634,3637],{"style":665},[573,3635],{"className":3636,"style":670},[669],[573,3638,3640],{"className":3639},[674,675,676,677],[573,3641,3643],{"className":3642},[639,677],[573,3644,3646,3649],{"className":3645},[639,677],[573,3647,602],{"className":3648},[639,643,677],[573,3650,3652],{"className":3651},[648],[573,3653,3655,3675],{"className":3654},[652,653],[573,3656,3658,3672],{"className":3657},[657],[573,3659,3661],{"className":3660,"style":699},[661],[573,3662,3663,3666],{"style":702},[573,3664],{"className":3665,"style":706},[669],[573,3667,3669],{"className":3668},[674,710,711,677],[573,3670,605],{"className":3671},[639,643,677],[573,3673,719],{"className":3674},[718],[573,3676,3678],{"className":3677},[657],[573,3679,3681],{"className":3680,"style":726},[661],[573,3682],{},[573,3684,719],{"className":3685},[718],[573,3687,3689],{"className":3688},[657],[573,3690,3692],{"className":3691,"style":738},[661],[573,3693],{},[573,3695,610],{"className":3696},[744],[573,3698,613],{"className":3699,"style":748},[639,643],[573,3701,616],{"className":3702},[752],[573,3704,3706,3734],{"className":3705},[576],[573,3707,3709],{"className":3708},[580],[582,3710,3711],{"xmlns":584},[586,3712,3713,3731],{},[589,3714,3715,3721,3723,3729],{},[592,3716,3717,3719],{},[595,3718,597],{},[595,3720,613],{},[607,3722,610],{"stretchy":609},[592,3724,3725,3727],{},[595,3726,602],{},[595,3728,605],{},[607,3730,616],{"stretchy":609},[618,3732,3733],{"encoding":620},"P_B(A_i)",[573,3735,3737],{"className":3736,"ariaHidden":626},[625],[573,3738,3740,3743,3783,3786,3826],{"className":3739},[630],[573,3741],{"className":3742,"style":790},[634],[573,3744,3746,3749],{"className":3745},[639],[573,3747,597],{"className":3748,"style":644},[639,643],[573,3750,3752],{"className":3751},[648],[573,3753,3755,3775],{"className":3754},[652,653],[573,3756,3758,3772],{"className":3757},[657],[573,3759,3761],{"className":3760,"style":662},[661],[573,3762,3763,3766],{"style":665},[573,3764],{"className":3765,"style":670},[669],[573,3767,3769],{"className":3768},[674,675,676,677],[573,3770,613],{"className":3771,"style":748},[639,643,677],[573,3773,719],{"className":3774},[718],[573,3776,3778],{"className":3777},[657],[573,3779,3781],{"className":3780,"style":837},[661],[573,3782],{},[573,3784,610],{"className":3785},[744],[573,3787,3789,3792],{"className":3788},[639],[573,3790,602],{"className":3791},[639,643],[573,3793,3795],{"className":3794},[648],[573,3796,3798,3818],{"className":3797},[652,653],[573,3799,3801,3815],{"className":3800},[657],[573,3802,3804],{"className":3803,"style":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vertauschen. Gegeben ist meist die Fehlerquote ",[568,3831,3832],{},"einer Maschine",", also 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nicht der Anteil von ",[573,3967,3969,3986],{"className":3968},[576],[573,3970,3972],{"className":3971},[580],[582,3973,3974],{"xmlns":584},[586,3975,3976,3984],{},[589,3977,3978],{},[592,3979,3980,3982],{},[595,3981,1605],{},[901,3983,903],{},[618,3985,1610],{"encoding":620},[573,3987,3989],{"className":3988,"ariaHidden":626},[625],[573,3990,3992,3995],{"className":3991},[630],[573,3993],{"className":3994,"style":1620},[634],[573,3996,3998,4001],{"className":3997},[639],[573,3999,1605],{"className":4000,"style":1627},[639,643],[573,4002,4004],{"className":4003},[648],[573,4005,4007,4027],{"className":4006},[652,653],[573,4008,4010,4024],{"className":4009},[657],[573,4011,4013],{"className":4012,"style":950},[661],[573,4014,4015,4018],{"style":1642},[573,4016],{"className":4017,"style":670},[669],[573,4019,4021],{"className":4020},[674,675,676,677],[573,4022,903],{"className":4023},[639,677],[573,4025,719],{"className":4026},[718],[573,4028,4030],{"className":4029},[657],[573,4031,4033],{"className":4032,"style":837},[661],[573,4034],{}," an den fehlerhaften Teilen.",{"title":4037,"searchDepth":4038,"depth":4038,"links":4039},"",2,[4040,4041,4042],{"id":561,"depth":4038,"text":562},{"id":1584,"depth":4038,"text":1585},{"id":3089,"depth":4038,"text":3090},[4044,4047,4050,4052,4055,4057,4060,4063],{"lhs":4045,"rhs":4046},"p*u + (1-p)*v","v + p*(u - v)",{"lhs":4048,"rhs":4049},"0.6 * 0.02 + 0.4 * 0.05","0.012 + 0.02",{"lhs":4049,"rhs":4051},"0.032",{"lhs":4053,"rhs":4054},"0.5 * 0.01 + 0.3 * 0.02 + 0.2 * 0.04","0.019",{"lhs":4056,"rhs":903},"0.5 + 0.3 + 0.2",{"lhs":4058,"rhs":4059},"(0.02 + 0.05) \u002F 2","0.035",{"lhs":4061,"rhs":4062},"round(0.02 \u002F 0.032, 4)","0.625",{"lhs":4064,"rhs":4062},"0.4 * 0.05 \u002F 0.032","A_1, \\ldots, A_n \\text{ paarweise unvereinbar},\\ A_1 \\cup \\ldots \\cup A_n = \\Omega,\\ P(A_i) > 0","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>A\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmo>…\u003C\u002Fmo>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmsub>\u003Cmi>A\u003C\u002Fmi>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">A_1, \\ldots, A_n\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\">\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">1\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=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"minner\">…\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.1514em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;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\">n\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>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">paarweise\u003C\u002Fspan> \u003Cspan style=\"white-space: nowrap\">\u003Cspan class=\"katex\">unvereinbar\u003C\u002Fspan>\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">,\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:0.3em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\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>\u003Cmsub>\u003Cmi>A\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo>∪\u003C\u002Fmo>\u003Cmo>…\u003C\u002Fmo>\u003Cmo>∪\u003C\u002Fmo>\u003Cmsub>\u003Cmi>A\u003C\u002Fmi>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo>=\u003C\u002Fmo>\u003Cmi mathvariant=\"normal\">Ω\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">A_1 \\cup \\ldots \\cup A_n = \\Omega,\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:0.8333em;vertical-align:-0.15em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">1\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=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">∪\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.5556em;\">\u003C\u002Fspan>\u003Cspan class=\"minner\">…\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>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.1514em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;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\">n\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=\"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:0.8778em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">Ω\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>\u003Cmsub>\u003Cmi>A\u003C\u002Fmi>\u003Cmi>i\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>>\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">P(A_i) > 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\">\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3117em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;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\">i\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=\"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","total-probability","P(B) = \\sum_{i=1}^{n} P(A_i) \\cdot P_{A_i}(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>\u003Cmi>P\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>B\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmunderover>\u003Cmo>∑\u003C\u002Fmo>\u003Cmrow>\u003Cmi>i\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmunderover>\u003Cmi>P\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmsub>\u003Cmi>A\u003C\u002Fmi>\u003Cmi>i\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmsub>\u003Cmi>P\u003C\u002Fmi>\u003Cmsub>\u003Cmi>A\u003C\u002Fmi>\u003Cmi>i\u003C\u002Fmi>\u003C\u002Fmsub>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>B\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">P(B) = \\sum_{i=1}^{n} P(A_i) \\cdot P_{A_i}(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>\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:2.9291em;vertical-align:-1.2777em;\">\u003C\u002Fspan>\u003Cspan class=\"mop op-limits\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.6514em;\">\u003Cspan style=\"top:-1.8723em;margin-left:0em;\">\u003Cspan class=\"pstrut\" style=\"height:3.05em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">i\u003C\u002Fspan>\u003Cspan class=\"mrel mtight\">=\u003C\u002Fspan>\u003Cspan class=\"mord mtight\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.05em;\">\u003Cspan class=\"pstrut\" style=\"height:3.05em;\">\u003C\u002Fspan>\u003Cspan>\u003Cspan class=\"mop op-symbol large-op\">∑\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-4.3em;margin-left:0em;\">\u003Cspan class=\"pstrut\" style=\"height:3.05em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\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:1.2777em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3117em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;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\">i\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=\"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>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.0001em;vertical-align:-0.2501em;\">\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 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">A\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3281em;\">\u003Cspan style=\"top:-2.357em;margin-left:0em;margin-right:0.0714em;\">\u003Cspan class=\"pstrut\" style=\"height:2.5em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size3 size1 mtight\">\u003Cspan class=\"mord mathnormal mtight\">i\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:0.143em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\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:0.2501em;\">\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>\u003C\u002Fspan>","upper",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Fstochastics\u002Fsatz-von-der-totalen-wahrscheinlichkeit",[],[4078,4079,4080,4081],"bayes-theorem","conditional-probability","path-addition-rule","path-multiplication-rule",{"title":548,"description":4037},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fsatz-von-der-totalen-wahrscheinlichkeit","P(B) ergibt sich als Summe über alle Fälle Aᵢ, jeweils P(Aᵢ) mal die bedingte Wahrscheinlichkeit von B im Fall Aᵢ.",[4086,4087,4088,4089],"bedingte wahrscheinlichkeit","baumdiagramm","zerlegung","fallunterscheidung",[4091,4094,4097,4100,4103,4106],{"symbol":613,"meaning":4092,"symbolHtml":4093},"das Ereignis, dessen Wahrscheinlichkeit gesucht ist","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>B\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">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:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0502em;\">B\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":921,"meaning":4095,"symbolHtml":4096},"Zerlegung der Ergebnismenge in Fälle, die sich nicht überschneiden","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>A\u003C\u002Fmi>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmo>…\u003C\u002Fmo>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmsub>\u003Cmi>A\u003C\u002Fmi>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">A_1, \\ldots, A_n\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\">\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">1\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=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"minner\">…\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.1514em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;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\">n\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>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":780,"meaning":4098,"symbolHtml":4099},"Wahrscheinlichkeit des i-ten Falls","\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>\u003Cmsub>\u003Cmi>A\u003C\u002Fmi>\u003Cmi>i\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">P(A_i)\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\">\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3117em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;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\">i\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=\"mclose\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":621,"meaning":4101,"symbolHtml":4102},"bedingte Wahrscheinlichkeit von B im i-ten Fall","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>P\u003C\u002Fmi>\u003Cmsub>\u003Cmi>A\u003C\u002Fmi>\u003Cmi>i\u003C\u002Fmi>\u003C\u002Fmsub>\u003C\u002Fmsub>\u003Cmo 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style=\"height:0.2501em;\">\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":869,"meaning":4104,"symbolHtml":4105},"Ergebnismenge, also alle möglichen Ergebnisse","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi mathvariant=\"normal\">Ω\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\Omega\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:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">Ω\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":918,"meaning":4107,"symbolHtml":4108},"Anzahl der Fälle","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">n\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:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","nvBygsMYRARNEInYoZ9tGgA87H6b7FClAt0xF6HclTo",[4111,4114,4117,4120],{"stem":4112,"title":4113,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fbedingte-wahrscheinlichkeit","Bedingte Wahrscheinlichkeit",{"stem":4115,"title":4116,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fpfadadditionsregel","Pfadadditionsregel",{"stem":4118,"title":4119,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fpfadmultiplikationsregel","Pfadmultiplikationsregel",{"stem":4121,"title":4122,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fsatz-von-bayes","Satz von Bayes",1793824287522]