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0",[573,940,942,969],{"className":941,"ariaHidden":620},[619],[573,943,945,948,951,954,957,960,963,966],{"className":944},[624],[573,946],{"className":947,"style":629},[628],[573,949,597],{"className":950,"style":638},[633,637],[573,952,605],{"className":953},[692],[573,955,600],{"className":956},[633,637],[573,958,611],{"className":959},[700],[573,961],{"className":962,"style":811},[810],[573,964,931],{"className":965},[815],[573,967],{"className":968,"style":811},[810],[573,970,972,976],{"className":971},[624],[573,973],{"className":974,"style":975},[628],"height:0.6444em;",[573,977,935],{"className":978},[633]," gilt; unter einer unmöglichen Bedingung kann man nichts bedingen.",[564,981,982],{},"Umgestellt erhält man die Pfadmultiplikationsregel für zweistufige Baumdiagramme:",[573,984,987],{"className":985},[986],"katex-display",[573,988,990,1042],{"className":989},[576],[573,991,993],{"className":992},[580],[582,994,996],{"xmlns":584,"display":995},"block",[586,997,998,1039],{},[589,999,1000,1002,1004,1006,1009,1011,1013,1016,1018,1020,1022,1024,1027,1033,1035,1037],{},[595,1001,597],{},[602,1003,605],{"stretchy":604},[595,1005,600],{},[602,1007,1008],{},"∩",[595,1010,608],{},[602,1012,611],{"stretchy":604},[602,1014,1015],{},"=",[595,1017,597],{},[602,1019,605],{"stretchy":604},[595,1021,600],{},[602,1023,611],{"stretchy":604},[602,1025,1026],{},"⋅",[592,1028,1029,1031],{},[595,1030,597],{},[595,1032,600],{},[602,1034,605],{"stretchy":604},[595,1036,608],{},[602,1038,611],{"stretchy":604},[613,1040,1041],{"encoding":615},"P(A \\cap B) = P(A) \\cdot P_A(B)",[573,1043,1045,1071,1092,1119],{"className":1044,"ariaHidden":620},[619],[573,1046,1048,1051,1054,1057,1060,1064,1068],{"className":1047},[624],[573,1049],{"className":1050,"style":629},[628],[573,1052,597],{"className":1053,"style":638},[633,637],[573,1055,605],{"className":1056},[692],[573,1058,600],{"className":1059},[633,637],[573,1061],{"className":1062,"style":1063},[810],"margin-right:0.2222em;",[573,1065,1008],{"className":1066},[1067],"mbin",[573,1069],{"className":1070,"style":1063},[810],[573,1072,1074,1077,1080,1083,1086,1089],{"className":1073},[624],[573,1075],{"className":1076,"style":629},[628],[573,1078,608],{"className":1079,"style":696},[633,637],[573,1081,611],{"className":1082},[700],[573,1084],{"className":1085,"style":811},[810],[573,1087,1015],{"className":1088},[815],[573,1090],{"className":1091,"style":811},[810],[573,1093,1095,1098,1101,1104,1107,1110,1113,1116],{"className":1094},[624],[573,1096],{"className":1097,"style":629},[628],[573,1099,597],{"className":1100,"style":638},[633,637],[573,1102,605],{"className":1103},[692],[573,1105,600],{"className":1106},[633,637],[573,1108,611],{"className":1109},[700],[573,1111],{"className":1112,"style":1063},[810],[573,1114,1026],{"className":1115},[1067],[573,1117],{"className":1118,"style":1063},[810],[573,1120,1122,1125,1165,1168,1171],{"className":1121},[624],[573,1123],{"className":1124,"style":629},[628],[573,1126,1128,1131],{"className":1127},[633],[573,1129,597],{"className":1130,"style":638},[633,637],[573,1132,1134],{"className":1133},[642],[573,1135,1137,1157],{"className":1136},[646,647],[573,1138,1140,1154],{"className":1139},[651],[573,1141,1143],{"className":1142,"style":656},[655],[573,1144,1145,1148],{"style":659},[573,1146],{"className":1147,"style":664},[663],[573,1149,1151],{"className":1150},[668,669,670,671],[573,1152,600],{"className":1153},[633,637,671],[573,1155,679],{"className":1156},[678],[573,1158,1160],{"className":1159},[651],[573,1161,1163],{"className":1162,"style":686},[655],[573,1164],{},[573,1166,605],{"className":1167},[692],[573,1169,608],{"className":1170,"style":696},[633,637],[573,1172,611],{"className":1173},[700],[564,1175,1176],{},"Im Baumdiagramm stehen die bedingten Wahrscheinlichkeiten an den Ästen der zweiten Stufe.",[564,1178,1179,1207,1208,1236,1237,1240,1241,1363,1364,1392,1393,1421],{},[573,1180,1182,1195],{"className":1181},[576],[573,1183,1185],{"className":1184},[580],[582,1186,1187],{"xmlns":584},[586,1188,1189,1193],{},[589,1190,1191],{},[595,1192,600],{},[613,1194,600],{"encoding":615},[573,1196,1198],{"className":1197,"ariaHidden":620},[619],[573,1199,1201,1204],{"className":1200},[624],[573,1202],{"className":1203,"style":727},[628],[573,1205,600],{"className":1206},[633,637]," und ",[573,1209,1211,1224],{"className":1210},[576],[573,1212,1214],{"className":1213},[580],[582,1215,1216],{"xmlns":584},[586,1217,1218,1222],{},[589,1219,1220],{},[595,1221,608],{},[613,1223,608],{"encoding":615},[573,1225,1227],{"className":1226,"ariaHidden":620},[619],[573,1228,1230,1233],{"className":1229},[624],[573,1231],{"className":1232,"style":727},[628],[573,1234,608],{"className":1235,"style":696},[633,637]," heißen ",[568,1238,1239],{},"stochastisch unabhängig",", wenn ",[573,1242,1244,1278],{"className":1243},[576],[573,1245,1247],{"className":1246},[580],[582,1248,1249],{"xmlns":584},[586,1250,1251,1275],{},[589,1252,1253,1259,1261,1263,1265,1267,1269,1271,1273],{},[592,1254,1255,1257],{},[595,1256,597],{},[595,1258,600],{},[602,1260,605],{"stretchy":604},[595,1262,608],{},[602,1264,611],{"stretchy":604},[602,1266,1015],{},[595,1268,597],{},[602,1270,605],{"stretchy":604},[595,1272,608],{},[602,1274,611],{"stretchy":604},[613,1276,1277],{"encoding":615},"P_A(B) = P(B)",[573,1279,1281,1345],{"className":1280,"ariaHidden":620},[619],[573,1282,1284,1287,1327,1330,1333,1336,1339,1342],{"className":1283},[624],[573,1285],{"className":1286,"style":629},[628],[573,1288,1290,1293],{"className":1289},[633],[573,1291,597],{"className":1292,"style":638},[633,637],[573,1294,1296],{"className":1295},[642],[573,1297,1299,1319],{"className":1298},[646,647],[573,1300,1302,1316],{"className":1301},[651],[573,1303,1305],{"className":1304,"style":656},[655],[573,1306,1307,1310],{"style":659},[573,1308],{"className":1309,"style":664},[663],[573,1311,1313],{"className":1312},[668,669,670,671],[573,1314,600],{"className":1315},[633,637,671],[573,1317,679],{"className":1318},[678],[573,1320,1322],{"className":1321},[651],[573,1323,1325],{"className":1324,"style":686},[655],[573,1326],{},[573,1328,605],{"className":1329},[692],[573,1331,608],{"className":1332,"style":696},[633,637],[573,1334,611],{"className":1335},[700],[573,1337],{"className":1338,"style":811},[810],[573,1340,1015],{"className":1341},[815],[573,1343],{"className":1344,"style":811},[810],[573,1346,1348,1351,1354,1357,1360],{"className":1347},[624],[573,1349],{"className":1350,"style":629},[628],[573,1352,597],{"className":1353,"style":638},[633,637],[573,1355,605],{"className":1356},[692],[573,1358,608],{"className":1359,"style":696},[633,637],[573,1361,611],{"className":1362},[700]," gilt, das Wissen über ",[573,1365,1367,1380],{"className":1366},[576],[573,1368,1370],{"className":1369},[580],[582,1371,1372],{"xmlns":584},[586,1373,1374,1378],{},[589,1375,1376],{},[595,1377,600],{},[613,1379,600],{"encoding":615},[573,1381,1383],{"className":1382,"ariaHidden":620},[619],[573,1384,1386,1389],{"className":1385},[624],[573,1387],{"className":1388,"style":727},[628],[573,1390,600],{"className":1391},[633,637]," also nichts an der Wahrscheinlichkeit von ",[573,1394,1396,1409],{"className":1395},[576],[573,1397,1399],{"className":1398},[580],[582,1400,1401],{"xmlns":584},[586,1402,1403,1407],{},[589,1404,1405],{},[595,1406,608],{},[613,1408,608],{"encoding":615},[573,1410,1412],{"className":1411,"ariaHidden":620},[619],[573,1413,1415,1418],{"className":1414},[624],[573,1416],{"className":1417,"style":727},[628],[573,1419,608],{"className":1420,"style":696},[633,637]," ändert.",[559,1423,1425],{"id":1424},"beispiele","Beispiele",[564,1427,1428,1429,1458,1459,1487,1488,1516],{},"Eine Firma befragt ",[573,1430,1432,1446],{"className":1431},[576],[573,1433,1435],{"className":1434},[580],[582,1436,1437],{"xmlns":584},[586,1438,1439,1444],{},[589,1440,1441],{},[933,1442,1443],{},"400",[613,1445,1443],{"encoding":615},[573,1447,1449],{"className":1448,"ariaHidden":620},[619],[573,1450,1452,1455],{"className":1451},[624],[573,1453],{"className":1454,"style":975},[628],[573,1456,1443],{"className":1457},[633]," Beschäftigte. ",[573,1460,1462,1475],{"className":1461},[576],[573,1463,1465],{"className":1464},[580],[582,1466,1467],{"xmlns":584},[586,1468,1469,1473],{},[589,1470,1471],{},[595,1472,600],{},[613,1474,600],{"encoding":615},[573,1476,1478],{"className":1477,"ariaHidden":620},[619],[573,1479,1481,1484],{"className":1480},[624],[573,1482],{"className":1483,"style":727},[628],[573,1485,600],{"className":1486},[633,637],": „fährt mit dem Rad zur Arbeit“, ",[573,1489,1491,1504],{"className":1490},[576],[573,1492,1494],{"className":1493},[580],[582,1495,1496],{"xmlns":584},[586,1497,1498,1502],{},[589,1499,1500],{},[595,1501,608],{},[613,1503,608],{"encoding":615},[573,1505,1507],{"className":1506,"ariaHidden":620},[619],[573,1508,1510,1513],{"className":1509},[624],[573,1511],{"className":1512,"style":727},[628],[573,1514,608],{"className":1515,"style":696},[633,637],": „wohnt weniger als 5 km entfernt“.",[1518,1519,1520,1634],"table",{},[1521,1522,1523],"thead",{},[1524,1525,1526,1529,1559,1631],"tr",{},[1527,1528],"th",{},[1527,1530,1531],{},[573,1532,1534,1547],{"className":1533},[576],[573,1535,1537],{"className":1536},[580],[582,1538,1539],{"xmlns":584},[586,1540,1541,1545],{},[589,1542,1543],{},[595,1544,608],{},[613,1546,608],{"encoding":615},[573,1548,1550],{"className":1549,"ariaHidden":620},[619],[573,1551,1553,1556],{"className":1552},[624],[573,1554],{"className":1555,"style":727},[628],[573,1557,608],{"className":1558,"style":696},[633,637],[1527,1560,1561],{},[573,1562,1564,1584],{"className":1563},[576],[573,1565,1567],{"className":1566},[580],[582,1568,1569],{"xmlns":584},[586,1570,1571,1581],{},[589,1572,1573],{},[1574,1575,1576,1578],"mover",{"accent":620},[595,1577,608],{},[602,1579,1580],{"stretchy":620},"‾",[613,1582,1583],{"encoding":615},"\\overline{B}",[573,1585,1587],{"className":1586,"ariaHidden":620},[619],[573,1588,1590,1594],{"className":1589},[624],[573,1591],{"className":1592,"style":1593},[628],"height:0.8833em;",[573,1595,1598],{"className":1596},[633,1597],"overline",[573,1599,1601],{"className":1600},[646],[573,1602,1604],{"className":1603},[651],[573,1605,1607,1620],{"className":1606,"style":1593},[655],[573,1608,1610,1614],{"style":1609},"top:-3em;",[573,1611],{"className":1612,"style":1613},[663],"height:3em;",[573,1615,1617],{"className":1616},[633],[573,1618,608],{"className":1619,"style":696},[633,637],[573,1621,1623,1626],{"style":1622},"top:-3.8033em;",[573,1624],{"className":1625,"style":1613},[663],[573,1627],{"className":1628,"style":1630},[1629],"overline-line","border-bottom-width:0.04em;",[1527,1632,1633],{},"Summe",[1635,1636,1637,1763,1921],"tbody",{},[1524,1638,1639,1670,1701,1732],{},[1640,1641,1642],"td",{},[573,1643,1645,1658],{"className":1644},[576],[573,1646,1648],{"className":1647},[580],[582,1649,1650],{"xmlns":584},[586,1651,1652,1656],{},[589,1653,1654],{},[595,1655,600],{},[613,1657,600],{"encoding":615},[573,1659,1661],{"className":1660,"ariaHidden":620},[619],[573,1662,1664,1667],{"className":1663},[624],[573,1665],{"className":1666,"style":727},[628],[573,1668,600],{"className":1669},[633,637],[1640,1671,1672],{},[573,1673,1675,1689],{"className":1674},[576],[573,1676,1678],{"className":1677},[580],[582,1679,1680],{"xmlns":584},[586,1681,1682,1687],{},[589,1683,1684],{},[933,1685,1686],{},"90",[613,1688,1686],{"encoding":615},[573,1690,1692],{"className":1691,"ariaHidden":620},[619],[573,1693,1695,1698],{"className":1694},[624],[573,1696],{"className":1697,"style":975},[628],[573,1699,1686],{"className":1700},[633],[1640,1702,1703],{},[573,1704,1706,1720],{"className":1705},[576],[573,1707,1709],{"className":1708},[580],[582,1710,1711],{"xmlns":584},[586,1712,1713,1718],{},[589,1714,1715],{},[933,1716,1717],{},"30",[613,1719,1717],{"encoding":615},[573,1721,1723],{"className":1722,"ariaHidden":620},[619],[573,1724,1726,1729],{"className":1725},[624],[573,1727],{"className":1728,"style":975},[628],[573,1730,1717],{"className":1731},[633],[1640,1733,1734],{},[573,1735,1737,1751],{"className":1736},[576],[573,1738,1740],{"className":1739},[580],[582,1741,1742],{"xmlns":584},[586,1743,1744,1749],{},[589,1745,1746],{},[933,1747,1748],{},"120",[613,1750,1748],{"encoding":615},[573,1752,1754],{"className":1753,"ariaHidden":620},[619],[573,1755,1757,1760],{"className":1756},[624],[573,1758],{"className":1759,"style":975},[628],[573,1761,1748],{"className":1762},[633],[1524,1764,1765,1828,1859,1890],{},[1640,1766,1767],{},[573,1768,1770,1788],{"className":1769},[576],[573,1771,1773],{"className":1772},[580],[582,1774,1775],{"xmlns":584},[586,1776,1777,1785],{},[589,1778,1779],{},[1574,1780,1781,1783],{"accent":620},[595,1782,600],{},[602,1784,1580],{"stretchy":620},[613,1786,1787],{"encoding":615},"\\overline{A}",[573,1789,1791],{"className":1790,"ariaHidden":620},[619],[573,1792,1794,1797],{"className":1793},[624],[573,1795],{"className":1796,"style":1593},[628],[573,1798,1800],{"className":1799},[633,1597],[573,1801,1803],{"className":1802},[646],[573,1804,1806],{"className":1805},[651],[573,1807,1809,1820],{"className":1808,"style":1593},[655],[573,1810,1811,1814],{"style":1609},[573,1812],{"className":1813,"style":1613},[663],[573,1815,1817],{"className":1816},[633],[573,1818,600],{"className":1819},[633,637],[573,1821,1822,1825],{"style":1622},[573,1823],{"className":1824,"style":1613},[663],[573,1826],{"className":1827,"style":1630},[1629],[1640,1829,1830],{},[573,1831,1833,1847],{"className":1832},[576],[573,1834,1836],{"className":1835},[580],[582,1837,1838],{"xmlns":584},[586,1839,1840,1845],{},[589,1841,1842],{},[933,1843,1844],{},"60",[613,1846,1844],{"encoding":615},[573,1848,1850],{"className":1849,"ariaHidden":620},[619],[573,1851,1853,1856],{"className":1852},[624],[573,1854],{"className":1855,"style":975},[628],[573,1857,1844],{"className":1858},[633],[1640,1860,1861],{},[573,1862,1864,1878],{"className":1863},[576],[573,1865,1867],{"className":1866},[580],[582,1868,1869],{"xmlns":584},[586,1870,1871,1876],{},[589,1872,1873],{},[933,1874,1875],{},"220",[613,1877,1875],{"encoding":615},[573,1879,1881],{"className":1880,"ariaHidden":620},[619],[573,1882,1884,1887],{"className":1883},[624],[573,1885],{"className":1886,"style":975},[628],[573,1888,1875],{"className":1889},[633],[1640,1891,1892],{},[573,1893,1895,1909],{"className":1894},[576],[573,1896,1898],{"className":1897},[580],[582,1899,1900],{"xmlns":584},[586,1901,1902,1907],{},[589,1903,1904],{},[933,1905,1906],{},"280",[613,1908,1906],{"encoding":615},[573,1910,1912],{"className":1911,"ariaHidden":620},[619],[573,1913,1915,1918],{"className":1914},[624],[573,1916],{"className":1917,"style":975},[628],[573,1919,1906],{"className":1920},[633],[1524,1922,1923,1925,1956,1987],{},[1640,1924,1633],{},[1640,1926,1927],{},[573,1928,1930,1944],{"className":1929},[576],[573,1931,1933],{"className":1932},[580],[582,1934,1935],{"xmlns":584},[586,1936,1937,1942],{},[589,1938,1939],{},[933,1940,1941],{},"150",[613,1943,1941],{"encoding":615},[573,1945,1947],{"className":1946,"ariaHidden":620},[619],[573,1948,1950,1953],{"className":1949},[624],[573,1951],{"className":1952,"style":975},[628],[573,1954,1941],{"className":1955},[633],[1640,1957,1958],{},[573,1959,1961,1975],{"className":1960},[576],[573,1962,1964],{"className":1963},[580],[582,1965,1966],{"xmlns":584},[586,1967,1968,1973],{},[589,1969,1970],{},[933,1971,1972],{},"250",[613,1974,1972],{"encoding":615},[573,1976,1978],{"className":1977,"ariaHidden":620},[619],[573,1979,1981,1984],{"className":1980},[624],[573,1982],{"className":1983,"style":975},[628],[573,1985,1972],{"className":1986},[633],[1640,1988,1989],{},[573,1990,1992,2005],{"className":1991},[576],[573,1993,1995],{"className":1994},[580],[582,1996,1997],{"xmlns":584},[586,1998,1999,2003],{},[589,2000,2001],{},[933,2002,1443],{},[613,2004,1443],{"encoding":615},[573,2006,2008],{"className":2007,"ariaHidden":620},[619],[573,2009,2011,2014],{"className":2010},[624],[573,2012],{"className":2013,"style":975},[628],[573,2015,1443],{"className":2016},[633],[564,2018,2019,2020,1207,2222,2390],{},"Wie wahrscheinlich wohnt jemand, der Rad fährt, in der Nähe? Mit ",[573,2021,2023,2061],{"className":2022},[576],[573,2024,2026],{"className":2025},[580],[582,2027,2028],{"xmlns":584},[586,2029,2030,2058],{},[589,2031,2032,2034,2036,2038,2040,2042,2044,2046,2053,2055],{},[595,2033,597],{},[602,2035,605],{"stretchy":604},[595,2037,600],{},[602,2039,1008],{},[595,2041,608],{},[602,2043,611],{"stretchy":604},[602,2045,1015],{},[2047,2048,2049,2051],"mfrac",{},[933,2050,1686],{},[933,2052,1443],{},[602,2054,1015],{},[933,2056,2057],{},"0,225",[613,2059,2060],{"encoding":615},"P(A \\cap B) = \\frac{90}{400} = 0{,}225",[573,2062,2064,2088,2109,2200],{"className":2063,"ariaHidden":620},[619],[573,2065,2067,2070,2073,2076,2079,2082,2085],{"className":2066},[624],[573,2068],{"className":2069,"style":629},[628],[573,2071,597],{"className":2072,"style":638},[633,637],[573,2074,605],{"className":2075},[692],[573,2077,600],{"className":2078},[633,637],[573,2080],{"className":2081,"style":1063},[810],[573,2083,1008],{"className":2084},[1067],[573,2086],{"className":2087,"style":1063},[810],[573,2089,2091,2094,2097,2100,2103,2106],{"className":2090},[624],[573,2092],{"className":2093,"style":629},[628],[573,2095,608],{"className":2096,"style":696},[633,637],[573,2098,611],{"className":2099},[700],[573,2101],{"className":2102,"style":811},[810],[573,2104,1015],{"className":2105},[815],[573,2107],{"className":2108,"style":811},[810],[573,2110,2112,2116,2191,2194,2197],{"className":2111},[624],[573,2113],{"className":2114,"style":2115},[628],"height:1.1901em;vertical-align:-0.345em;",[573,2117,2119,2123,2188],{"className":2118},[633],[573,2120],{"className":2121},[692,2122],"nulldelimiter",[573,2124,2126],{"className":2125},[2047],[573,2127,2129,2179],{"className":2128},[646,647],[573,2130,2132,2176],{"className":2131},[651],[573,2133,2136,2151,2161],{"className":2134,"style":2135},[655],"height:0.8451em;",[573,2137,2139,2142],{"style":2138},"top:-2.655em;",[573,2140],{"className":2141,"style":1613},[663],[573,2143,2145],{"className":2144},[668,669,670,671],[573,2146,2148],{"className":2147},[633,671],[573,2149,1443],{"className":2150},[633,671],[573,2152,2154,2157],{"style":2153},"top:-3.23em;",[573,2155],{"className":2156,"style":1613},[663],[573,2158],{"className":2159,"style":1630},[2160],"frac-line",[573,2162,2164,2167],{"style":2163},"top:-3.394em;",[573,2165],{"className":2166,"style":1613},[663],[573,2168,2170],{"className":2169},[668,669,670,671],[573,2171,2173],{"className":2172},[633,671],[573,2174,1686],{"className":2175},[633,671],[573,2177,679],{"className":2178},[678],[573,2180,2182],{"className":2181},[651],[573,2183,2186],{"className":2184,"style":2185},[655],"height:0.345em;",[573,2187],{},[573,2189],{"className":2190},[700,2122],[573,2192],{"className":2193,"style":811},[810],[573,2195,1015],{"className":2196},[815],[573,2198],{"className":2199,"style":811},[810],[573,2201,2203,2207,2210,2218],{"className":2202},[624],[573,2204],{"className":2205,"style":2206},[628],"height:0.8389em;vertical-align:-0.1944em;",[573,2208,935],{"className":2209},[633],[573,2211,2213],{"className":2212},[633],[573,2214,2217],{"className":2215},[2216],"mpunct",",",[573,2219,2221],{"className":2220},[633],"225",[573,2223,2225,2258],{"className":2224},[576],[573,2226,2228],{"className":2227},[580],[582,2229,2230],{"xmlns":584},[586,2231,2232,2255],{},[589,2233,2234,2236,2238,2240,2242,2244,2250,2252],{},[595,2235,597],{},[602,2237,605],{"stretchy":604},[595,2239,600],{},[602,2241,611],{"stretchy":604},[602,2243,1015],{},[2047,2245,2246,2248],{},[933,2247,1748],{},[933,2249,1443],{},[602,2251,1015],{},[933,2253,2254],{},"0,3",[613,2256,2257],{"encoding":615},"P(A) = \\frac{120}{400} = 0{,}3",[573,2259,2261,2288,2371],{"className":2260,"ariaHidden":620},[619],[573,2262,2264,2267,2270,2273,2276,2279,2282,2285],{"className":2263},[624],[573,2265],{"className":2266,"style":629},[628],[573,2268,597],{"className":2269,"style":638},[633,637],[573,2271,605],{"className":2272},[692],[573,2274,600],{"className":2275},[633,637],[573,2277,611],{"className":2278},[700],[573,2280],{"className":2281,"style":811},[810],[573,2283,1015],{"className":2284},[815],[573,2286],{"className":2287,"style":811},[810],[573,2289,2291,2294,2362,2365,2368],{"className":2290},[624],[573,2292],{"className":2293,"style":2115},[628],[573,2295,2297,2300,2359],{"className":2296},[633],[573,2298],{"className":2299},[692,2122],[573,2301,2303],{"className":2302},[2047],[573,2304,2306,2351],{"className":2305},[646,647],[573,2307,2309,2348],{"className":2308},[651],[573,2310,2312,2326,2334],{"className":2311,"style":2135},[655],[573,2313,2314,2317],{"style":2138},[573,2315],{"className":2316,"style":1613},[663],[573,2318,2320],{"className":2319},[668,669,670,671],[573,2321,2323],{"className":2322},[633,671],[573,2324,1443],{"className":2325},[633,671],[573,2327,2328,2331],{"style":2153},[573,2329],{"className":2330,"style":1613},[663],[573,2332],{"className":2333,"style":1630},[2160],[573,2335,2336,2339],{"style":2163},[573,2337],{"className":2338,"style":1613},[663],[573,2340,2342],{"className":2341},[668,669,670,671],[573,2343,2345],{"className":2344},[633,671],[573,2346,1748],{"className":2347},[633,671],[573,2349,679],{"className":2350},[678],[573,2352,2354],{"className":2353},[651],[573,2355,2357],{"className":2356,"style":2185},[655],[573,2358],{},[573,2360],{"className":2361},[700,2122],[573,2363],{"className":2364,"style":811},[810],[573,2366,1015],{"className":2367},[815],[573,2369],{"className":2370,"style":811},[810],[573,2372,2374,2377,2380,2386],{"className":2373},[624],[573,2375],{"className":2376,"style":2206},[628],[573,2378,935],{"className":2379},[633],[573,2381,2383],{"className":2382},[633],[573,2384,2217],{"className":2385},[2216],[573,2387,2389],{"className":2388},[633],"3",":",[573,2392,2394],{"className":2393},[986],[573,2395,2397,2434],{"className":2396},[576],[573,2398,2400],{"className":2399},[580],[582,2401,2402],{"xmlns":584,"display":995},[586,2403,2404,2431],{},[589,2405,2406,2412,2414,2416,2418,2420,2426,2428],{},[592,2407,2408,2410],{},[595,2409,597],{},[595,2411,600],{},[602,2413,605],{"stretchy":604},[595,2415,608],{},[602,2417,611],{"stretchy":604},[602,2419,1015],{},[2047,2421,2422,2424],{},[933,2423,2057],{},[933,2425,2254],{},[602,2427,1015],{},[933,2429,2430],{},"0,75",[613,2432,2433],{"encoding":615},"P_A(B) = \\frac{0{,}225}{0{,}3} = 0{,}75",[573,2435,2437,2501,2601],{"className":2436,"ariaHidden":620},[619],[573,2438,2440,2443,2483,2486,2489,2492,2495,2498],{"className":2439},[624],[573,2441],{"className":2442,"style":629},[628],[573,2444,2446,2449],{"className":2445},[633],[573,2447,597],{"className":2448,"style":638},[633,637],[573,2450,2452],{"className":2451},[642],[573,2453,2455,2475],{"className":2454},[646,647],[573,2456,2458,2472],{"className":2457},[651],[573,2459,2461],{"className":2460,"style":656},[655],[573,2462,2463,2466],{"style":659},[573,2464],{"className":2465,"style":664},[663],[573,2467,2469],{"className":2468},[668,669,670,671],[573,2470,600],{"className":2471},[633,637,671],[573,2473,679],{"className":2474},[678],[573,2476,2478],{"className":2477},[651],[573,2479,2481],{"className":2480,"style":686},[655],[573,2482],{},[573,2484,605],{"className":2485},[692],[573,2487,608],{"className":2488,"style":696},[633,637],[573,2490,611],{"className":2491},[700],[573,2493],{"className":2494,"style":811},[810],[573,2496,1015],{"className":2497},[815],[573,2499],{"className":2500,"style":811},[810],[573,2502,2504,2508,2592,2595,2598],{"className":2503},[624],[573,2505],{"className":2506,"style":2507},[628],"height:2.2019em;vertical-align:-0.8804em;",[573,2509,2511,2514,2589],{"className":2510},[633],[573,2512],{"className":2513},[692,2122],[573,2515,2517],{"className":2516},[2047],[573,2518,2520,2580],{"className":2519},[646,647],[573,2521,2523,2577],{"className":2522},[651],[573,2524,2527,2548,2556],{"className":2525,"style":2526},[655],"height:1.3214em;",[573,2528,2530,2533],{"style":2529},"top:-2.314em;",[573,2531],{"className":2532,"style":1613},[663],[573,2534,2536,2539,2545],{"className":2535},[633],[573,2537,935],{"className":2538},[633],[573,2540,2542],{"className":2541},[633],[573,2543,2217],{"className":2544},[2216],[573,2546,2389],{"className":2547},[633],[573,2549,2550,2553],{"style":2153},[573,2551],{"className":2552,"style":1613},[663],[573,2554],{"className":2555,"style":1630},[2160],[573,2557,2559,2562],{"style":2558},"top:-3.677em;",[573,2560],{"className":2561,"style":1613},[663],[573,2563,2565,2568,2574],{"className":2564},[633],[573,2566,935],{"className":2567},[633],[573,2569,2571],{"className":2570},[633],[573,2572,2217],{"className":2573},[2216],[573,2575,2221],{"className":2576},[633],[573,2578,679],{"className":2579},[678],[573,2581,2583],{"className":2582},[651],[573,2584,2587],{"className":2585,"style":2586},[655],"height:0.8804em;",[573,2588],{},[573,2590],{"className":2591},[700,2122],[573,2593],{"className":2594,"style":811},[810],[573,2596,1015],{"className":2597},[815],[573,2599],{"className":2600,"style":811},[810],[573,2602,2604,2607,2610,2616],{"className":2603},[624],[573,2605],{"className":2606,"style":2206},[628],[573,2608,935],{"className":2609},[633],[573,2611,2613],{"className":2612},[633],[573,2614,2217],{"className":2615},[2216],[573,2617,2619],{"className":2618},[633],"75",[564,2621,2622,2623,2752],{},"Direkt in der Tabelle: ",[573,2624,2626,2648],{"className":2625},[576],[573,2627,2629],{"className":2628},[580],[582,2630,2631],{"xmlns":584},[586,2632,2633,2645],{},[589,2634,2635,2641,2643],{},[2047,2636,2637,2639],{},[933,2638,1686],{},[933,2640,1748],{},[602,2642,1015],{},[933,2644,2430],{},[613,2646,2647],{"encoding":615},"\\frac{90}{120} = 0{,}75",[573,2649,2651,2734],{"className":2650,"ariaHidden":620},[619],[573,2652,2654,2657,2725,2728,2731],{"className":2653},[624],[573,2655],{"className":2656,"style":2115},[628],[573,2658,2660,2663,2722],{"className":2659},[633],[573,2661],{"className":2662},[692,2122],[573,2664,2666],{"className":2665},[2047],[573,2667,2669,2714],{"className":2668},[646,647],[573,2670,2672,2711],{"className":2671},[651],[573,2673,2675,2689,2697],{"className":2674,"style":2135},[655],[573,2676,2677,2680],{"style":2138},[573,2678],{"className":2679,"style":1613},[663],[573,2681,2683],{"className":2682},[668,669,670,671],[573,2684,2686],{"className":2685},[633,671],[573,2687,1748],{"className":2688},[633,671],[573,2690,2691,2694],{"style":2153},[573,2692],{"className":2693,"style":1613},[663],[573,2695],{"className":2696,"style":1630},[2160],[573,2698,2699,2702],{"style":2163},[573,2700],{"className":2701,"style":1613},[663],[573,2703,2705],{"className":2704},[668,669,670,671],[573,2706,2708],{"className":2707},[633,671],[573,2709,1686],{"className":2710},[633,671],[573,2712,679],{"className":2713},[678],[573,2715,2717],{"className":2716},[651],[573,2718,2720],{"className":2719,"style":2185},[655],[573,2721],{},[573,2723],{"className":2724},[700,2122],[573,2726],{"className":2727,"style":811},[810],[573,2729,1015],{"className":2730},[815],[573,2732],{"className":2733,"style":811},[810],[573,2735,2737,2740,2743,2749],{"className":2736},[624],[573,2738],{"className":2739,"style":2206},[628],[573,2741,935],{"className":2742},[633],[573,2744,2746],{"className":2745},[633],[573,2747,2217],{"className":2748},[2216],[573,2750,2619],{"className":2751},[633],".",[564,2754,2755],{},"Umgekehrt gefragt: Wie wahrscheinlich fährt jemand aus der Nähe Rad?",[573,2757,2759],{"className":2758},[986],[573,2760,2762,2821],{"className":2761},[576],[573,2763,2765],{"className":2764},[580],[582,2766,2767],{"xmlns":584,"display":995},[586,2768,2769,2818],{},[589,2770,2771,2777,2779,2781,2783,2785,2805,2807,2813,2815],{},[592,2772,2773,2775],{},[595,2774,597],{},[595,2776,608],{},[602,2778,605],{"stretchy":604},[595,2780,600],{},[602,2782,611],{"stretchy":604},[602,2784,1015],{},[2047,2786,2787,2797],{},[589,2788,2789,2791,2795],{},[933,2790,1686],{},[595,2792,2794],{"mathvariant":2793},"normal","\u002F",[933,2796,1443],{},[589,2798,2799,2801,2803],{},[933,2800,1941],{},[595,2802,2794],{"mathvariant":2793},[933,2804,1443],{},[602,2806,1015],{},[2047,2808,2809,2811],{},[933,2810,1686],{},[933,2812,1941],{},[602,2814,1015],{},[933,2816,2817],{},"0,6",[613,2819,2820],{"encoding":615},"P_B(A) = \\frac{90\u002F400}{150\u002F400} = \\frac{90}{150} = 0{,}6",[573,2822,2824,2888,2970,3049],{"className":2823,"ariaHidden":620},[619],[573,2825,2827,2830,2870,2873,2876,2879,2882,2885],{"className":2826},[624],[573,2828],{"className":2829,"style":629},[628],[573,2831,2833,2836],{"className":2832},[633],[573,2834,597],{"className":2835,"style":638},[633,637],[573,2837,2839],{"className":2838},[642],[573,2840,2842,2862],{"className":2841},[646,647],[573,2843,2845,2859],{"className":2844},[651],[573,2846,2848],{"className":2847,"style":656},[655],[573,2849,2850,2853],{"style":659},[573,2851],{"className":2852,"style":664},[663],[573,2854,2856],{"className":2855},[668,669,670,671],[573,2857,608],{"className":2858,"style":696},[633,637,671],[573,2860,679],{"className":2861},[678],[573,2863,2865],{"className":2864},[651],[573,2866,2868],{"className":2867,"style":686},[655],[573,2869],{},[573,2871,605],{"className":2872},[692],[573,2874,600],{"className":2875},[633,637],[573,2877,611],{"className":2878},[700],[573,2880],{"className":2881,"style":811},[810],[573,2883,1015],{"className":2884},[815],[573,2886],{"className":2887,"style":811},[810],[573,2889,2891,2895,2961,2964,2967],{"className":2890},[624],[573,2892],{"className":2893,"style":2894},[628],"height:2.363em;vertical-align:-0.936em;",[573,2896,2898,2901,2958],{"className":2897},[633],[573,2899],{"className":2900},[692,2122],[573,2902,2904],{"className":2903},[2047],[573,2905,2907,2949],{"className":2906},[646,647],[573,2908,2910,2946],{"className":2909},[651],[573,2911,2914,2926,2934],{"className":2912,"style":2913},[655],"height:1.427em;",[573,2915,2916,2919],{"style":2529},[573,2917],{"className":2918,"style":1613},[663],[573,2920,2922],{"className":2921},[633],[573,2923,2925],{"className":2924},[633],"150\u002F400",[573,2927,2928,2931],{"style":2153},[573,2929],{"className":2930,"style":1613},[663],[573,2932],{"className":2933,"style":1630},[2160],[573,2935,2936,2939],{"style":2558},[573,2937],{"className":2938,"style":1613},[663],[573,2940,2942],{"className":2941},[633],[573,2943,2945],{"className":2944},[633],"90\u002F400",[573,2947,679],{"className":2948},[678],[573,2950,2952],{"className":2951},[651],[573,2953,2956],{"className":2954,"style":2955},[655],"height:0.936em;",[573,2957],{},[573,2959],{"className":2960},[700,2122],[573,2962],{"className":2963,"style":811},[810],[573,2965,1015],{"className":2966},[815],[573,2968],{"className":2969,"style":811},[810],[573,2971,2973,2977,3040,3043,3046],{"className":2972},[624],[573,2974],{"className":2975,"style":2976},[628],"height:2.0074em;vertical-align:-0.686em;",[573,2978,2980,2983,3037],{"className":2979},[633],[573,2981],{"className":2982},[692,2122],[573,2984,2986],{"className":2985},[2047],[573,2987,2989,3028],{"className":2988},[646,647],[573,2990,2992,3025],{"className":2991},[651],[573,2993,2995,3006,3014],{"className":2994,"style":2526},[655],[573,2996,2997,3000],{"style":2529},[573,2998],{"className":2999,"style":1613},[663],[573,3001,3003],{"className":3002},[633],[573,3004,1941],{"className":3005},[633],[573,3007,3008,3011],{"style":2153},[573,3009],{"className":3010,"style":1613},[663],[573,3012],{"className":3013,"style":1630},[2160],[573,3015,3016,3019],{"style":2558},[573,3017],{"className":3018,"style":1613},[663],[573,3020,3022],{"className":3021},[633],[573,3023,1686],{"className":3024},[633],[573,3026,679],{"className":3027},[678],[573,3029,3031],{"className":3030},[651],[573,3032,3035],{"className":3033,"style":3034},[655],"height:0.686em;",[573,3036],{},[573,3038],{"className":3039},[700,2122],[573,3041],{"className":3042,"style":811},[810],[573,3044,1015],{"className":3045},[815],[573,3047],{"className":3048,"style":811},[810],[573,3050,3052,3055,3058,3064],{"className":3051},[624],[573,3053],{"className":3054,"style":2206},[628],[573,3056,935],{"className":3057},[633],[573,3059,3061],{"className":3060},[633],[573,3062,2217],{"className":3063},[2216],[573,3065,3067],{"className":3066},[633],"6",[564,3069,3070,3071,3390,3391,1207,3419,3447],{},"Da ",[573,3072,3074,3126],{"className":3073},[576],[573,3075,3077],{"className":3076},[580],[582,3078,3079],{"xmlns":584},[586,3080,3081,3123],{},[589,3082,3083,3085,3087,3089,3091,3093,3099,3101,3104,3107,3109,3111,3117,3119,3121],{},[595,3084,597],{},[602,3086,605],{"stretchy":604},[595,3088,608],{},[602,3090,611],{"stretchy":604},[602,3092,1015],{},[2047,3094,3095,3097],{},[933,3096,1941],{},[933,3098,1443],{},[602,3100,1015],{},[933,3102,3103],{},"0,375",[602,3105,3106],{"mathvariant":2793},"≠",[933,3108,2430],{},[602,3110,1015],{},[592,3112,3113,3115],{},[595,3114,597],{},[595,3116,600],{},[602,3118,605],{"stretchy":604},[595,3120,608],{},[602,3122,611],{"stretchy":604},[613,3124,3125],{"encoding":615},"P(B) = \\frac{150}{400} = 0{,}375 \\neq 0{,}75 = P_A(B)",[573,3127,3129,3156,3239,3308,3335],{"className":3128,"ariaHidden":620},[619],[573,3130,3132,3135,3138,3141,3144,3147,3150,3153],{"className":3131},[624],[573,3133],{"className":3134,"style":629},[628],[573,3136,597],{"className":3137,"style":638},[633,637],[573,3139,605],{"className":3140},[692],[573,3142,608],{"className":3143,"style":696},[633,637],[573,3145,611],{"className":3146},[700],[573,3148],{"className":3149,"style":811},[810],[573,3151,1015],{"className":3152},[815],[573,3154],{"className":3155,"style":811},[810],[573,3157,3159,3162,3230,3233,3236],{"className":3158},[624],[573,3160],{"className":3161,"style":2115},[628],[573,3163,3165,3168,3227],{"className":3164},[633],[573,3166],{"className":3167},[692,2122],[573,3169,3171],{"className":3170},[2047],[573,3172,3174,3219],{"className":3173},[646,647],[573,3175,3177,3216],{"className":3176},[651],[573,3178,3180,3194,3202],{"className":3179,"style":2135},[655],[573,3181,3182,3185],{"style":2138},[573,3183],{"className":3184,"style":1613},[663],[573,3186,3188],{"className":3187},[668,669,670,671],[573,3189,3191],{"className":3190},[633,671],[573,3192,1443],{"className":3193},[633,671],[573,3195,3196,3199],{"style":2153},[573,3197],{"className":3198,"style":1613},[663],[573,3200],{"className":3201,"style":1630},[2160],[573,3203,3204,3207],{"style":2163},[573,3205],{"className":3206,"style":1613},[663],[573,3208,3210],{"className":3209},[668,669,670,671],[573,3211,3213],{"className":3212},[633,671],[573,3214,1941],{"className":3215},[633,671],[573,3217,679],{"className":3218},[678],[573,3220,3222],{"className":3221},[651],[573,3223,3225],{"className":3224,"style":2185},[655],[573,3226],{},[573,3228],{"className":3229},[700,2122],[573,3231],{"className":3232,"style":811},[810],[573,3234,1015],{"className":3235},[815],[573,3237],{"className":3238,"style":811},[810],[573,3240,3242,3246,3249,3255,3259,3262,3305],{"className":3241},[624],[573,3243],{"className":3244,"style":3245},[628],"height:0.8889em;vertical-align:-0.1944em;",[573,3247,935],{"className":3248},[633],[573,3250,3252],{"className":3251},[633],[573,3253,2217],{"className":3254},[2216],[573,3256,3258],{"className":3257},[633],"375",[573,3260],{"className":3261,"style":811},[810],[573,3263,3265,3298,3302],{"className":3264},[815],[573,3266,3268],{"className":3267},[815],[573,3269,3272],{"className":3270},[633,3271],"vbox",[573,3273,3276],{"className":3274},[3275],"thinbox",[573,3277,3280,3283,3294],{"className":3278},[3279],"rlap",[573,3281],{"className":3282,"style":3245},[628],[573,3284,3287],{"className":3285},[3286],"inner",[573,3288,3290],{"className":3289},[633],[573,3291,3293],{"className":3292},[815],"",[573,3295],{"className":3296},[3297],"fix",[573,3299],{"className":3300},[810,3301],"nobreak",[573,3303,1015],{"className":3304},[815],[573,3306],{"className":3307,"style":811},[810],[573,3309,3311,3314,3317,3323,3326,3329,3332],{"className":3310},[624],[573,3312],{"className":3313,"style":2206},[628],[573,3315,935],{"className":3316},[633],[573,3318,3320],{"className":3319},[633],[573,3321,2217],{"className":3322},[2216],[573,3324,2619],{"className":3325},[633],[573,3327],{"className":3328,"style":811},[810],[573,3330,1015],{"className":3331},[815],[573,3333],{"className":3334,"style":811},[810],[573,3336,3338,3341,3381,3384,3387],{"className":3337},[624],[573,3339],{"className":3340,"style":629},[628],[573,3342,3344,3347],{"className":3343},[633],[573,3345,597],{"className":3346,"style":638},[633,637],[573,3348,3350],{"className":3349},[642],[573,3351,3353,3373],{"className":3352},[646,647],[573,3354,3356,3370],{"className":3355},[651],[573,3357,3359],{"className":3358,"style":656},[655],[573,3360,3361,3364],{"style":659},[573,3362],{"className":3363,"style":664},[663],[573,3365,3367],{"className":3366},[668,669,670,671],[573,3368,600],{"className":3369},[633,637,671],[573,3371,679],{"className":3372},[678],[573,3374,3376],{"className":3375},[651],[573,3377,3379],{"className":3378,"style":686},[655],[573,3380],{},[573,3382,605],{"className":3383},[692],[573,3385,608],{"className":3386,"style":696},[633,637],[573,3388,611],{"className":3389},[700],", sind ",[573,3392,3394,3407],{"className":3393},[576],[573,3395,3397],{"className":3396},[580],[582,3398,3399],{"xmlns":584},[586,3400,3401,3405],{},[589,3402,3403],{},[595,3404,600],{},[613,3406,600],{"encoding":615},[573,3408,3410],{"className":3409,"ariaHidden":620},[619],[573,3411,3413,3416],{"className":3412},[624],[573,3414],{"className":3415,"style":727},[628],[573,3417,600],{"className":3418},[633,637],[573,3420,3422,3435],{"className":3421},[576],[573,3423,3425],{"className":3424},[580],[582,3426,3427],{"xmlns":584},[586,3428,3429,3433],{},[589,3430,3431],{},[595,3432,608],{},[613,3434,608],{"encoding":615},[573,3436,3438],{"className":3437,"ariaHidden":620},[619],[573,3439,3441,3444],{"className":3440},[624],[573,3442],{"className":3443,"style":727},[628],[573,3445,608],{"className":3446,"style":696},[633,637]," nicht unabhängig.",[559,3449,3451],{"id":3450},"typische-fehler","Typische Fehler",[3453,3454,3455,3862,4115],"ul",{},[3456,3457,3458,1207,3542,3627,3628,3744,3745,3861],"li",{},[573,3459,3461,3484],{"className":3460},[576],[573,3462,3464],{"className":3463},[580],[582,3465,3466],{"xmlns":584},[586,3467,3468,3482],{},[589,3469,3470,3476,3478,3480],{},[592,3471,3472,3474],{},[595,3473,597],{},[595,3475,600],{},[602,3477,605],{"stretchy":604},[595,3479,608],{},[602,3481,611],{"stretchy":604},[613,3483,551],{"encoding":615},[573,3485,3487],{"className":3486,"ariaHidden":620},[619],[573,3488,3490,3493,3533,3536,3539],{"className":3489},[624],[573,3491],{"className":3492,"style":629},[628],[573,3494,3496,3499],{"className":3495},[633],[573,3497,597],{"className":3498,"style":638},[633,637],[573,3500,3502],{"className":3501},[642],[573,3503,3505,3525],{"className":3504},[646,647],[573,3506,3508,3522],{"className":3507},[651],[573,3509,3511],{"className":3510,"style":656},[655],[573,3512,3513,3516],{"style":659},[573,3514],{"className":3515,"style":664},[663],[573,3517,3519],{"className":3518},[668,669,670,671],[573,3520,600],{"className":3521},[633,637,671],[573,3523,679],{"className":3524},[678],[573,3526,3528],{"className":3527},[651],[573,3529,3531],{"className":3530,"style":686},[655],[573,3532],{},[573,3534,605],{"className":3535},[692],[573,3537,608],{"className":3538,"style":696},[633,637],[573,3540,611],{"className":3541},[700],[573,3543,3545,3569],{"className":3544},[576],[573,3546,3548],{"className":3547},[580],[582,3549,3550],{"xmlns":584},[586,3551,3552,3566],{},[589,3553,3554,3560,3562,3564],{},[592,3555,3556,3558],{},[595,3557,597],{},[595,3559,608],{},[602,3561,605],{"stretchy":604},[595,3563,600],{},[602,3565,611],{"stretchy":604},[613,3567,3568],{"encoding":615},"P_B(A)",[573,3570,3572],{"className":3571,"ariaHidden":620},[619],[573,3573,3575,3578,3618,3621,3624],{"className":3574},[624],[573,3576],{"className":3577,"style":629},[628],[573,3579,3581,3584],{"className":3580},[633],[573,3582,597],{"className":3583,"style":638},[633,637],[573,3585,3587],{"className":3586},[642],[573,3588,3590,3610],{"className":3589},[646,647],[573,3591,3593,3607],{"className":3592},[651],[573,3594,3596],{"className":3595,"style":656},[655],[573,3597,3598,3601],{"style":659},[573,3599],{"className":3600,"style":664},[663],[573,3602,3604],{"className":3603},[668,669,670,671],[573,3605,608],{"className":3606,"style":696},[633,637,671],[573,3608,679],{"className":3609},[678],[573,3611,3613],{"className":3612},[651],[573,3614,3616],{"className":3615,"style":686},[655],[573,3617],{},[573,3619,605],{"className":3620},[692],[573,3622,600],{"className":3623},[633,637],[573,3625,611],{"className":3626},[700]," verwechseln. Im Beispiel ist ",[573,3629,3631,3659],{"className":3630},[576],[573,3632,3634],{"className":3633},[580],[582,3635,3636],{"xmlns":584},[586,3637,3638,3656],{},[589,3639,3640,3646,3648,3650,3652,3654],{},[592,3641,3642,3644],{},[595,3643,597],{},[595,3645,600],{},[602,3647,605],{"stretchy":604},[595,3649,608],{},[602,3651,611],{"stretchy":604},[602,3653,1015],{},[933,3655,2430],{},[613,3657,3658],{"encoding":615},"P_A(B) = 0{,}75",[573,3660,3662,3726],{"className":3661,"ariaHidden":620},[619],[573,3663,3665,3668,3708,3711,3714,3717,3720,3723],{"className":3664},[624],[573,3666],{"className":3667,"style":629},[628],[573,3669,3671,3674],{"className":3670},[633],[573,3672,597],{"className":3673,"style":638},[633,637],[573,3675,3677],{"className":3676},[642],[573,3678,3680,3700],{"className":3679},[646,647],[573,3681,3683,3697],{"className":3682},[651],[573,3684,3686],{"className":3685,"style":656},[655],[573,3687,3688,3691],{"style":659},[573,3689],{"className":3690,"style":664},[663],[573,3692,3694],{"className":3693},[668,669,670,671],[573,3695,600],{"className":3696},[633,637,671],[573,3698,679],{"className":3699},[678],[573,3701,3703],{"className":3702},[651],[573,3704,3706],{"className":3705,"style":686},[655],[573,3707],{},[573,3709,605],{"className":3710},[692],[573,3712,608],{"className":3713,"style":696},[633,637],[573,3715,611],{"className":3716},[700],[573,3718],{"className":3719,"style":811},[810],[573,3721,1015],{"className":3722},[815],[573,3724],{"className":3725,"style":811},[810],[573,3727,3729,3732,3735,3741],{"className":3728},[624],[573,3730],{"className":3731,"style":2206},[628],[573,3733,935],{"className":3734},[633],[573,3736,3738],{"className":3737},[633],[573,3739,2217],{"className":3740},[2216],[573,3742,2619],{"className":3743},[633],", aber ",[573,3746,3748,3776],{"className":3747},[576],[573,3749,3751],{"className":3750},[580],[582,3752,3753],{"xmlns":584},[586,3754,3755,3773],{},[589,3756,3757,3763,3765,3767,3769,3771],{},[592,3758,3759,3761],{},[595,3760,597],{},[595,3762,608],{},[602,3764,605],{"stretchy":604},[595,3766,600],{},[602,3768,611],{"stretchy":604},[602,3770,1015],{},[933,3772,2817],{},[613,3774,3775],{"encoding":615},"P_B(A) = 0{,}6",[573,3777,3779,3843],{"className":3778,"ariaHidden":620},[619],[573,3780,3782,3785,3825,3828,3831,3834,3837,3840],{"className":3781},[624],[573,3783],{"className":3784,"style":629},[628],[573,3786,3788,3791],{"className":3787},[633],[573,3789,597],{"className":3790,"style":638},[633,637],[573,3792,3794],{"className":3793},[642],[573,3795,3797,3817],{"className":3796},[646,647],[573,3798,3800,3814],{"className":3799},[651],[573,3801,3803],{"className":3802,"style":656},[655],[573,3804,3805,3808],{"style":659},[573,3806],{"className":3807,"style":664},[663],[573,3809,3811],{"className":3810},[668,669,670,671],[573,3812,608],{"className":3813,"style":696},[633,637,671],[573,3815,679],{"className":3816},[678],[573,3818,3820],{"className":3819},[651],[573,3821,3823],{"className":3822,"style":686},[655],[573,3824],{},[573,3826,605],{"className":3827},[692],[573,3829,600],{"className":3830},[633,637],[573,3832,611],{"className":3833},[700],[573,3835],{"className":3836,"style":811},[810],[573,3838,1015],{"className":3839},[815],[573,3841],{"className":3842,"style":811},[810],[573,3844,3846,3849,3852,3858],{"className":3845},[624],[573,3847],{"className":3848,"style":2206},[628],[573,3850,935],{"className":3851},[633],[573,3853,3855],{"className":3854},[633],[573,3856,2217],{"className":3857},[2216],[573,3859,3067],{"className":3860},[633],". Die Bedingung steht im Index bzw. hinter dem senkrechten Strich, und ihre Wahrscheinlichkeit kommt in den Nenner.",[3456,3863,3864,3865,3963,3964,4030,4031,2752],{},"Durch die Gesamtzahl statt durch die Bedingung teilen: ",[573,3866,3868,3886],{"className":3867},[576],[573,3869,3871],{"className":3870},[580],[582,3872,3873],{"xmlns":584},[586,3874,3875,3883],{},[589,3876,3877],{},[2047,3878,3879,3881],{},[933,3880,1686],{},[933,3882,1443],{},[613,3884,3885],{"encoding":615},"\\frac{90}{400}",[573,3887,3889],{"className":3888,"ariaHidden":620},[619],[573,3890,3892,3895],{"className":3891},[624],[573,3893],{"className":3894,"style":2115},[628],[573,3896,3898,3901,3960],{"className":3897},[633],[573,3899],{"className":3900},[692,2122],[573,3902,3904],{"className":3903},[2047],[573,3905,3907,3952],{"className":3906},[646,647],[573,3908,3910,3949],{"className":3909},[651],[573,3911,3913,3927,3935],{"className":3912,"style":2135},[655],[573,3914,3915,3918],{"style":2138},[573,3916],{"className":3917,"style":1613},[663],[573,3919,3921],{"className":3920},[668,669,670,671],[573,3922,3924],{"className":3923},[633,671],[573,3925,1443],{"className":3926},[633,671],[573,3928,3929,3932],{"style":2153},[573,3930],{"className":3931,"style":1613},[663],[573,3933],{"className":3934,"style":1630},[2160],[573,3936,3937,3940],{"style":2163},[573,3938],{"className":3939,"style":1613},[663],[573,3941,3943],{"className":3942},[668,669,670,671],[573,3944,3946],{"className":3945},[633,671],[573,3947,1686],{"className":3948},[633,671],[573,3950,679],{"className":3951},[678],[573,3953,3955],{"className":3954},[651],[573,3956,3958],{"className":3957,"style":2185},[655],[573,3959],{},[573,3961],{"className":3962},[700,2122]," ist ",[573,3965,3967,3991],{"className":3966},[576],[573,3968,3970],{"className":3969},[580],[582,3971,3972],{"xmlns":584},[586,3973,3974,3988],{},[589,3975,3976,3978,3980,3982,3984,3986],{},[595,3977,597],{},[602,3979,605],{"stretchy":604},[595,3981,600],{},[602,3983,1008],{},[595,3985,608],{},[602,3987,611],{"stretchy":604},[613,3989,3990],{"encoding":615},"P(A \\cap B)",[573,3992,3994,4018],{"className":3993,"ariaHidden":620},[619],[573,3995,3997,4000,4003,4006,4009,4012,4015],{"className":3996},[624],[573,3998],{"className":3999,"style":629},[628],[573,4001,597],{"className":4002,"style":638},[633,637],[573,4004,605],{"className":4005},[692],[573,4007,600],{"className":4008},[633,637],[573,4010],{"className":4011,"style":1063},[810],[573,4013,1008],{"className":4014},[1067],[573,4016],{"className":4017,"style":1063},[810],[573,4019,4021,4024,4027],{"className":4020},[624],[573,4022],{"className":4023,"style":629},[628],[573,4025,608],{"className":4026,"style":696},[633,637],[573,4028,611],{"className":4029},[700],", nicht ",[573,4032,4034,4057],{"className":4033},[576],[573,4035,4037],{"className":4036},[580],[582,4038,4039],{"xmlns":584},[586,4040,4041,4055],{},[589,4042,4043,4049,4051,4053],{},[592,4044,4045,4047],{},[595,4046,597],{},[595,4048,600],{},[602,4050,605],{"stretchy":604},[595,4052,608],{},[602,4054,611],{"stretchy":604},[613,4056,551],{"encoding":615},[573,4058,4060],{"className":4059,"ariaHidden":620},[619],[573,4061,4063,4066,4106,4109,4112],{"className":4062},[624],[573,4064],{"className":4065,"style":629},[628],[573,4067,4069,4072],{"className":4068},[633],[573,4070,597],{"className":4071,"style":638},[633,637],[573,4073,4075],{"className":4074},[642],[573,4076,4078,4098],{"className":4077},[646,647],[573,4079,4081,4095],{"className":4080},[651],[573,4082,4084],{"className":4083,"style":656},[655],[573,4085,4086,4089],{"style":659},[573,4087],{"className":4088,"style":664},[663],[573,4090,4092],{"className":4091},[668,669,670,671],[573,4093,600],{"className":4094},[633,637,671],[573,4096,679],{"className":4097},[678],[573,4099,4101],{"className":4100},[651],[573,4102,4104],{"className":4103,"style":686},[655],[573,4105],{},[573,4107,605],{"className":4108},[692],[573,4110,608],{"className":4111,"style":696},[633,637],[573,4113,611],{"className":4114},[700],[3456,4116,4117,4118,4215,4216,4331],{},"„Unter der Bedingung“ und „und“ verwechseln: „Eine zufällig ausgewählte Person fährt Rad und wohnt in der Nähe“ ist ",[573,4119,4121,4149],{"className":4120},[576],[573,4122,4124],{"className":4123},[580],[582,4125,4126],{"xmlns":584},[586,4127,4128,4146],{},[589,4129,4130,4132,4134,4136,4138,4140,4142,4144],{},[595,4131,597],{},[602,4133,605],{"stretchy":604},[595,4135,600],{},[602,4137,1008],{},[595,4139,608],{},[602,4141,611],{"stretchy":604},[602,4143,1015],{},[933,4145,2057],{},[613,4147,4148],{"encoding":615},"P(A \\cap B) = 0{,}225",[573,4150,4152,4176,4197],{"className":4151,"ariaHidden":620},[619],[573,4153,4155,4158,4161,4164,4167,4170,4173],{"className":4154},[624],[573,4156],{"className":4157,"style":629},[628],[573,4159,597],{"className":4160,"style":638},[633,637],[573,4162,605],{"className":4163},[692],[573,4165,600],{"className":4166},[633,637],[573,4168],{"className":4169,"style":1063},[810],[573,4171,1008],{"className":4172},[1067],[573,4174],{"className":4175,"style":1063},[810],[573,4177,4179,4182,4185,4188,4191,4194],{"className":4178},[624],[573,4180],{"className":4181,"style":629},[628],[573,4183,608],{"className":4184,"style":696},[633,637],[573,4186,611],{"className":4187},[700],[573,4189],{"className":4190,"style":811},[810],[573,4192,1015],{"className":4193},[815],[573,4195],{"className":4196,"style":811},[810],[573,4198,4200,4203,4206,4212],{"className":4199},[624],[573,4201],{"className":4202,"style":2206},[628],[573,4204,935],{"className":4205},[633],[573,4207,4209],{"className":4208},[633],[573,4210,2217],{"className":4211},[2216],[573,4213,2221],{"className":4214},[633],". „Ein zufällig ausgewählter Radfahrer wohnt in der Nähe“ ist ",[573,4217,4219,4246],{"className":4218},[576],[573,4220,4222],{"className":4221},[580],[582,4223,4224],{"xmlns":584},[586,4225,4226,4244],{},[589,4227,4228,4234,4236,4238,4240,4242],{},[592,4229,4230,4232],{},[595,4231,597],{},[595,4233,600],{},[602,4235,605],{"stretchy":604},[595,4237,608],{},[602,4239,611],{"stretchy":604},[602,4241,1015],{},[933,4243,2430],{},[613,4245,3658],{"encoding":615},[573,4247,4249,4313],{"className":4248,"ariaHidden":620},[619],[573,4250,4252,4255,4295,4298,4301,4304,4307,4310],{"className":4251},[624],[573,4253],{"className":4254,"style":629},[628],[573,4256,4258,4261],{"className":4257},[633],[573,4259,597],{"className":4260,"style":638},[633,637],[573,4262,4264],{"className":4263},[642],[573,4265,4267,4287],{"className":4266},[646,647],[573,4268,4270,4284],{"className":4269},[651],[573,4271,4273],{"className":4272,"style":656},[655],[573,4274,4275,4278],{"style":659},[573,4276],{"className":4277,"style":664},[663],[573,4279,4281],{"className":4280},[668,669,670,671],[573,4282,600],{"className":4283},[633,637,671],[573,4285,679],{"className":4286},[678],[573,4288,4290],{"className":4289},[651],[573,4291,4293],{"className":4292,"style":686},[655],[573,4294],{},[573,4296,605],{"className":4297},[692],[573,4299,608],{"className":4300,"style":696},[633,637],[573,4302,611],{"className":4303},[700],[573,4305],{"className":4306,"style":811},[810],[573,4308,1015],{"className":4309},[815],[573,4311],{"className":4312,"style":811},[810],[573,4314,4316,4319,4322,4328],{"className":4315},[624],[573,4317],{"className":4318,"style":2206},[628],[573,4320,935],{"className":4321},[633],[573,4323,4325],{"className":4324},[633],[573,4326,2217],{"className":4327},[2216],[573,4329,2619],{"className":4330},[633],", denn hier wird nur unter den Radfahrern ausgewählt.",{"title":4333,"searchDepth":4334,"depth":4334,"links":4335},"",2,[4336,4337,4338],{"id":561,"depth":4334,"text":562},{"id":1424,"depth":4334,"text":1425},{"id":3450,"depth":4334,"text":3451},[4340,4343,4345,4348,4351,4354,4357,4359,4361,4363,4365,4367],{"lhs":4341,"rhs":4342},"p * (q \u002F p)","q",{"lhs":2945,"rhs":4344},"0.225",{"lhs":4346,"rhs":4347},"120\u002F400","0.3",{"lhs":4349,"rhs":4350},"0.225 \u002F 0.3","0.75",{"lhs":4352,"rhs":4353},"(90\u002F400) \u002F (120\u002F400)","90\u002F120",{"lhs":4355,"rhs":4356},"(90\u002F400) \u002F (150\u002F400)","0.6",{"lhs":4358,"rhs":1748},"90 + 30",{"lhs":4360,"rhs":1906},"60 + 220",{"lhs":4362,"rhs":1941},"90 + 60",{"lhs":4364,"rhs":1972},"30 + 220",{"lhs":4366,"rhs":1443},"120 + 280",{"lhs":2925,"rhs":4368},"0.375","\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>\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:0.6444em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","conditional-probability","P_A(B) = \\frac{P(A \\cap B)}{P(A)}","\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>A\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>B\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmfrac>\u003Cmrow>\u003Cmi>P\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>A\u003C\u002Fmi>\u003Cmo>∩\u003C\u002Fmo>\u003Cmi>B\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cmrow>\u003Cmi>P\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>A\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003C\u002Fmfrac>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">P_A(B) = \\frac{P(A \\cap B)}{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\">\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:0.2778em;\">\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\">A\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 mathnormal\" style=\"margin-right:0.1389em;\">P\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">A\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:0.0502em;\">B\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\u002Fbedingte-wahrscheinlichkeit",[],[4381,4382,4383,4384],"bayes-theorem","path-multiplication-rule","addition-rule","path-addition-rule",{"title":548,"description":4333},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fbedingte-wahrscheinlichkeit","Die Wahrscheinlichkeit von B unter der Bedingung A ist P(A ∩ B) geteilt durch P(A).",[4389,4390,4391,4392,4393],"bedingung","vierfeldertafel","baumdiagramm","unabhängigkeit","wahrscheinlichkeit",[4395,4398,4401,4404,4407],{"symbol":551,"meaning":4396,"symbolHtml":4397},"Wahrscheinlichkeit von B unter der Bedingung A, auch P(B | A) geschrieben","\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":600,"meaning":4399,"symbolHtml":4400},"Bedingung, das Ereignis, von dem man weiß, dass es eingetreten ist","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>A\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">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:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":608,"meaning":4402,"symbolHtml":4403},"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":3990,"meaning":4405,"symbolHtml":4406},"Wahrscheinlichkeit, dass A und B beide eintreten","\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>∩\u003C\u002Fmo>\u003Cmi>B\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">P(A \\cap 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\">A\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:1em;vertical-align:-0.25em;\">\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":886,"meaning":4408,"symbolHtml":4409},"Wahrscheinlichkeit der Bedingung A","\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>","Yjd16OJDevG83fr6X0KvpHudkf0Qk8yFJrQVbeKlFzY",[4412,4415,4418,4421],{"stem":4413,"title":4414,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fadditionssatz","Additionssatz",{"stem":4416,"title":4417,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fpfadadditionsregel","Pfadadditionsregel",{"stem":4419,"title":4420,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fpfadmultiplikationsregel","Pfadmultiplikationsregel",{"stem":4422,"title":4423,"category":441},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fsatz-von-bayes","Satz von Bayes",1793824284604]