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Die Tafel lässt sich mit ",[568,990,991],{},"absoluten Häufigkeiten"," (Anzahlen) oder mit ",[568,994,995],{},"Wahrscheinlichkeiten"," füllen. Aus ihr liest man auch bedingte Wahrscheinlichkeiten ab, z.B. 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B)}{P(B)}",[572,1055,1057,1133],{"className":1056,"ariaHidden":602},[601],[572,1058,1060,1063,1115,1118,1121,1124,1127,1130],{"className":1059},[606],[572,1061],{"className":1062,"style":799},[610],[572,1064,1066,1069],{"className":1065},[615],[572,1067,739],{"className":1068,"style":803},[615,616],[572,1070,1073],{"className":1071},[1072],"msupsub",[572,1074,1077,1106],{"className":1075},[883,1076],"vlist-t2",[572,1078,1080,1101],{"className":1079},[887],[572,1081,1084],{"className":1082,"style":1083},[891],"height:0.3283em;",[572,1085,1087,1091],{"style":1086},"top:-2.55em;margin-left:-0.1389em;margin-right:0.05em;",[572,1088],{"className":1089,"style":1090},[899],"height:2.7em;",[572,1092,1098],{"className":1093},[1094,1095,1096,1097],"sizing","reset-size6","size3","mtight",[572,1099,632],{"className":1100,"style":647},[615,616,1097],[572,1102,1105],{"className":1103},[1104],"vlist-s","​",[572,1107,1109],{"className":1108},[887],[572,1110,1113],{"className":1111,"style":1112},[891],"height:0.15em;",[572,1114],{},[572,1116,744],{"className":1117},[807],[572,1119,593],{"className":1120},[615,616],[572,1122,754],{"className":1123},[835],[572,1125],{"className":1126,"style":924},[814],[572,1128,778],{"className":1129},[928],[572,1131],{"className":1132,"style":924},[814],[572,1134,1136,1140],{"className":1135},[606],[572,1137],{"className":1138,"style":1139},[610],"height:1.53em;vertical-align:-0.52em;",[572,1141,1143,1147,1236],{"className":1142},[615],[572,1144],{"className":1145},[807,1146],"nulldelimiter",[572,1148,1150],{"className":1149},[1025],[572,1151,1153,1227],{"className":1152},[883,1076],[572,1154,1156,1224],{"className":1155},[887],[572,1157,1160,1184,1194],{"className":1158,"style":1159},[891],"height:1.01em;",[572,1161,1163,1166],{"style":1162},"top:-2.655em;",[572,1164],{"className":1165,"style":900},[899],[572,1167,1169],{"className":1168},[1094,1095,1096,1097],[572,1170,1172,1175,1178,1181],{"className":1171},[615,1097],[572,1173,739],{"className":1174,"style":803},[615,616,1097],[572,1176,744],{"className":1177},[807,1097],[572,1179,632],{"className":1180,"style":647},[615,616,1097],[572,1182,754],{"className":1183},[835,1097],[572,1185,1187,1190],{"style":1186},"top:-3.23em;",[572,1188],{"className":1189,"style":900},[899],[572,1191],{"className":1192,"style":917},[1193],"frac-line",[572,1195,1197,1200],{"style":1196},"top:-3.485em;",[572,1198],{"className":1199,"style":900},[899],[572,1201,1203],{"className":1202},[1094,1095,1096,1097],[572,1204,1206,1209,1212,1215,1218,1221],{"className":1205},[615,1097],[572,1207,739],{"className":1208,"style":803},[615,616,1097],[572,1210,744],{"className":1211},[807,1097],[572,1213,593],{"className":1214},[615,616,1097],[572,1216,749],{"className":1217},[819,1097],[572,1219,632],{"className":1220,"style":647},[615,616,1097],[572,1222,754],{"className":1223},[835,1097],[572,1225,1105],{"className":1226},[1104],[572,1228,1230],{"className":1229},[887],[572,1231,1234],{"className":1232,"style":1233},[891],"height:0.52em;",[572,1235],{},[572,1237],{"className":1238},[835,1146],", und prüft, ob ",[572,1241,1243,1256],{"className":1242},[575],[572,1244,1246],{"className":1245},[579],[581,1247,1248],{"xmlns":583},[585,1249,1250,1254],{},[588,1251,1252],{},[591,1253,593],{},[595,1255,593],{"encoding":597},[572,1257,1259],{"className":1258,"ariaHidden":602},[601],[572,1260,1262,1265],{"className":1261},[606],[572,1263],{"className":1264,"style":611},[610],[572,1266,593],{"className":1267},[615,616],[572,1269,1271,1284],{"className":1270},[575],[572,1272,1274],{"className":1273},[579],[581,1275,1276],{"xmlns":583},[585,1277,1278,1282],{},[588,1279,1280],{},[591,1281,632],{},[595,1283,632],{"encoding":597},[572,1285,1287],{"className":1286,"ariaHidden":602},[601],[572,1288,1290,1293],{"className":1289},[606],[572,1291],{"className":1292,"style":611},[610],[572,1294,632],{"className":1295,"style":647},[615,616]," unabhängig sind: Das ist genau dann der Fall, wenn ",[572,1298,1300,1345],{"className":1299},[575],[572,1301,1303],{"className":1302},[579],[581,1304,1305],{"xmlns":583},[585,1306,1307,1342],{},[588,1308,1309,1311,1313,1315,1317,1319,1321,1323,1325,1327,1329,1331,1334,1336,1338,1340],{},[591,1310,739],{},[741,1312,744],{"stretchy":743},[591,1314,593],{},[741,1316,749],{},[591,1318,632],{},[741,1320,754],{"stretchy":743},[741,1322,778],{},[591,1324,739],{},[741,1326,744],{"stretchy":743},[591,1328,593],{},[741,1330,754],{"stretchy":743},[741,1332,1333],{},"⋅",[591,1335,739],{},[741,1337,744],{"stretchy":743},[591,1339,632],{},[741,1341,754],{"stretchy":743},[595,1343,1344],{"encoding":597},"P(A \\cap B) = P(A) \\cdot P(B)",[572,1346,1348,1372,1393,1420],{"className":1347,"ariaHidden":602},[601],[572,1349,1351,1354,1357,1360,1363,1366,1369],{"className":1350},[606],[572,1352],{"className":1353,"style":799},[610],[572,1355,739],{"className":1356,"style":803},[615,616],[572,1358,744],{"className":1359},[807],[572,1361,593],{"className":1362},[615,616],[572,1364],{"className":1365,"style":815},[814],[572,1367,749],{"className":1368},[819],[572,1370],{"className":1371,"style":815},[814],[572,1373,1375,1378,1381,1384,1387,1390],{"className":1374},[606],[572,1376],{"className":1377,"style":799},[610],[572,1379,632],{"className":1380,"style":647},[615,616],[572,1382,754],{"className":1383},[835],[572,1385],{"className":1386,"style":924},[814],[572,1388,778],{"className":1389},[928],[572,1391],{"className":1392,"style":924},[814],[572,1394,1396,1399,1402,1405,1408,1411,1414,1417],{"className":1395},[606],[572,1397],{"className":1398,"style":799},[610],[572,1400,739],{"className":1401,"style":803},[615,616],[572,1403,744],{"className":1404},[807],[572,1406,593],{"className":1407},[615,616],[572,1409,754],{"className":1410},[835],[572,1412],{"className":1413,"style":815},[814],[572,1415,1333],{"className":1416},[819],[572,1418],{"className":1419,"style":815},[814],[572,1421,1423,1426,1429,1432,1435],{"className":1422},[606],[572,1424],{"className":1425,"style":799},[610],[572,1427,739],{"className":1428,"style":803},[615,616],[572,1430,744],{"className":1431},[807],[572,1433,632],{"className":1434,"style":647},[615,616],[572,1436,754],{"className":1437},[835]," gilt.",[559,1440,1442],{"id":1441},"beispiele","Beispiele",[564,1444,1445,1446,1475,1476,1504,1505,1554,1555,1583],{},"An einer Schule mit ",[572,1447,1449,1463],{"className":1448},[575],[572,1450,1452],{"className":1451},[579],[581,1453,1454],{"xmlns":583},[585,1455,1456,1461],{},[588,1457,1458],{},[967,1459,1460],{},"400",[595,1462,1460],{"encoding":597},[572,1464,1466],{"className":1465,"ariaHidden":602},[601],[572,1467,1469,1472],{"className":1468},[606],[572,1470],{"className":1471,"style":981},[610],[572,1473,1460],{"className":1474},[615]," Schülerinnen und Schülern wird erfasst, wer mit dem Bus fährt (",[572,1477,1479,1492],{"className":1478},[575],[572,1480,1482],{"className":1481},[579],[581,1483,1484],{"xmlns":583},[585,1485,1486,1490],{},[588,1487,1488],{},[591,1489,593],{},[595,1491,593],{"encoding":597},[572,1493,1495],{"className":1494,"ariaHidden":602},[601],[572,1496,1498,1501],{"className":1497},[606],[572,1499],{"className":1500,"style":611},[610],[572,1502,593],{"className":1503},[615,616],") und wer mehr als ",[572,1506,1508,1530],{"className":1507},[575],[572,1509,1511],{"className":1510},[579],[581,1512,1513],{"xmlns":583},[585,1514,1515,1527],{},[588,1516,1517,1520,1524],{},[967,1518,1519],{},"5",[1521,1522,1523],"mtext",{}," ",[1521,1525,1526],{},"km",[595,1528,1529],{"encoding":597},"5\\,\\text{km}",[572,1531,1533],{"className":1532,"ariaHidden":602},[601],[572,1534,1536,1540,1543,1547],{"className":1535},[606],[572,1537],{"className":1538,"style":1539},[610],"height:0.6944em;",[572,1541,1519],{"className":1542},[615],[572,1544],{"className":1545,"style":1546},[814],"margin-right:0.1667em;",[572,1548,1551],{"className":1549},[615,1550],"text",[572,1552,1526],{"className":1553},[615]," entfernt wohnt (",[572,1556,1558,1571],{"className":1557},[575],[572,1559,1561],{"className":1560},[579],[581,1562,1563],{"xmlns":583},[585,1564,1565,1569],{},[588,1566,1567],{},[591,1568,632],{},[595,1570,632],{"encoding":597},[572,1572,1574],{"className":1573,"ariaHidden":602},[601],[572,1575,1577,1580],{"className":1576},[606],[572,1578],{"className":1579,"style":611},[610],[572,1581,632],{"className":1582,"style":647},[615,616],"):",[1585,1586,1587,1692],"table",{},[1588,1589,1590],"thead",{},[1591,1592,1593,1596,1626,1689],"tr",{},[1594,1595],"th",{},[1594,1597,1598],{},[572,1599,1601,1614],{"className":1600},[575],[572,1602,1604],{"className":1603},[579],[581,1605,1606],{"xmlns":583},[585,1607,1608,1612],{},[588,1609,1610],{},[591,1611,632],{},[595,1613,632],{"encoding":597},[572,1615,1617],{"className":1616,"ariaHidden":602},[601],[572,1618,1620,1623],{"className":1619},[606],[572,1621],{"className":1622,"style":611},[610],[572,1624,632],{"className":1625,"style":647},[615,616],[1594,1627,1628],{},[572,1629,1631,1649],{"className":1630},[575],[572,1632,1634],{"className":1633},[579],[581,1635,1636],{"xmlns":583},[585,1637,1638,1646],{},[588,1639,1640],{},[767,1641,1642,1644],{"accent":602},[591,1643,632],{},[741,1645,773],{"stretchy":602},[595,1647,1648],{"encoding":597},"\\overline{B}",[572,1650,1652],{"className":1651,"ariaHidden":602},[601],[572,1653,1655,1658],{"className":1654},[606],[572,1656],{"className":1657,"style":892},[610],[572,1659,1661],{"className":1660},[615,879],[572,1662,1664],{"className":1663},[883],[572,1665,1667],{"className":1666},[887],[572,1668,1670,1681],{"className":1669,"style":892},[891],[572,1671,1672,1675],{"style":895},[572,1673],{"className":1674,"style":900},[899],[572,1676,1678],{"className":1677},[615],[572,1679,632],{"className":1680,"style":647},[615,616],[572,1682,1683,1686],{"style":909},[572,1684],{"className":1685,"style":900},[899],[572,1687],{"className":1688,"style":917},[916],[1594,1690,1691],{},"Summe",[1693,1694,1695,1821,1979],"tbody",{},[1591,1696,1697,1728,1759,1790],{},[1698,1699,1700],"td",{},[572,1701,1703,1716],{"className":1702},[575],[572,1704,1706],{"className":1705},[579],[581,1707,1708],{"xmlns":583},[585,1709,1710,1714],{},[588,1711,1712],{},[591,1713,593],{},[595,1715,593],{"encoding":597},[572,1717,1719],{"className":1718,"ariaHidden":602},[601],[572,1720,1722,1725],{"className":1721},[606],[572,1723],{"className":1724,"style":611},[610],[572,1726,593],{"className":1727},[615,616],[1698,1729,1730],{},[572,1731,1733,1747],{"className":1732},[575],[572,1734,1736],{"className":1735},[579],[581,1737,1738],{"xmlns":583},[585,1739,1740,1745],{},[588,1741,1742],{},[967,1743,1744],{},"150",[595,1746,1744],{"encoding":597},[572,1748,1750],{"className":1749,"ariaHidden":602},[601],[572,1751,1753,1756],{"className":1752},[606],[572,1754],{"className":1755,"style":981},[610],[572,1757,1744],{"className":1758},[615],[1698,1760,1761],{},[572,1762,1764,1778],{"className":1763},[575],[572,1765,1767],{"className":1766},[579],[581,1768,1769],{"xmlns":583},[585,1770,1771,1776],{},[588,1772,1773],{},[967,1774,1775],{},"30",[595,1777,1775],{"encoding":597},[572,1779,1781],{"className":1780,"ariaHidden":602},[601],[572,1782,1784,1787],{"className":1783},[606],[572,1785],{"className":1786,"style":981},[610],[572,1788,1775],{"className":1789},[615],[1698,1791,1792],{},[572,1793,1795,1809],{"className":1794},[575],[572,1796,1798],{"className":1797},[579],[581,1799,1800],{"xmlns":583},[585,1801,1802,1807],{},[588,1803,1804],{},[967,1805,1806],{},"180",[595,1808,1806],{"encoding":597},[572,1810,1812],{"className":1811,"ariaHidden":602},[601],[572,1813,1815,1818],{"className":1814},[606],[572,1816],{"className":1817,"style":981},[610],[572,1819,1806],{"className":1820},[615],[1591,1822,1823,1886,1917,1948],{},[1698,1824,1825],{},[572,1826,1828,1846],{"className":1827},[575],[572,1829,1831],{"className":1830},[579],[581,1832,1833],{"xmlns":583},[585,1834,1835,1843],{},[588,1836,1837],{},[767,1838,1839,1841],{"accent":602},[591,1840,593],{},[741,1842,773],{"stretchy":602},[595,1844,1845],{"encoding":597},"\\overline{A}",[572,1847,1849],{"className":1848,"ariaHidden":602},[601],[572,1850,1852,1855],{"className":1851},[606],[572,1853],{"className":1854,"style":892},[610],[572,1856,1858],{"className":1857},[615,879],[572,1859,1861],{"className":1860},[883],[572,1862,1864],{"className":1863},[887],[572,1865,1867,1878],{"className":1866,"style":892},[891],[572,1868,1869,1872],{"style":895},[572,1870],{"className":1871,"style":900},[899],[572,1873,1875],{"className":1874},[615],[572,1876,593],{"className":1877},[615,616],[572,1879,1880,1883],{"style":909},[572,1881],{"className":1882,"style":900},[899],[572,1884],{"className":1885,"style":917},[916],[1698,1887,1888],{},[572,1889,1891,1905],{"className":1890},[575],[572,1892,1894],{"className":1893},[579],[581,1895,1896],{"xmlns":583},[585,1897,1898,1903],{},[588,1899,1900],{},[967,1901,1902],{},"20",[595,1904,1902],{"encoding":597},[572,1906,1908],{"className":1907,"ariaHidden":602},[601],[572,1909,1911,1914],{"className":1910},[606],[572,1912],{"className":1913,"style":981},[610],[572,1915,1902],{"className":1916},[615],[1698,1918,1919],{},[572,1920,1922,1936],{"className":1921},[575],[572,1923,1925],{"className":1924},[579],[581,1926,1927],{"xmlns":583},[585,1928,1929,1934],{},[588,1930,1931],{},[967,1932,1933],{},"200",[595,1935,1933],{"encoding":597},[572,1937,1939],{"className":1938,"ariaHidden":602},[601],[572,1940,1942,1945],{"className":1941},[606],[572,1943],{"className":1944,"style":981},[610],[572,1946,1933],{"className":1947},[615],[1698,1949,1950],{},[572,1951,1953,1967],{"className":1952},[575],[572,1954,1956],{"className":1955},[579],[581,1957,1958],{"xmlns":583},[585,1959,1960,1965],{},[588,1961,1962],{},[967,1963,1964],{},"220",[595,1966,1964],{"encoding":597},[572,1968,1970],{"className":1969,"ariaHidden":602},[601],[572,1971,1973,1976],{"className":1972},[606],[572,1974],{"className":1975,"style":981},[610],[572,1977,1964],{"className":1978},[615],[1591,1980,1981,1983,2014,2045],{},[1698,1982,1691],{},[1698,1984,1985],{},[572,1986,1988,2002],{"className":1987},[575],[572,1989,1991],{"className":1990},[579],[581,1992,1993],{"xmlns":583},[585,1994,1995,2000],{},[588,1996,1997],{},[967,1998,1999],{},"170",[595,2001,1999],{"encoding":597},[572,2003,2005],{"className":2004,"ariaHidden":602},[601],[572,2006,2008,2011],{"className":2007},[606],[572,2009],{"className":2010,"style":981},[610],[572,2012,1999],{"className":2013},[615],[1698,2015,2016],{},[572,2017,2019,2033],{"className":2018},[575],[572,2020,2022],{"className":2021},[579],[581,2023,2024],{"xmlns":583},[585,2025,2026,2031],{},[588,2027,2028],{},[967,2029,2030],{},"230",[595,2032,2030],{"encoding":597},[572,2034,2036],{"className":2035,"ariaHidden":602},[601],[572,2037,2039,2042],{"className":2038},[606],[572,2040],{"className":2041,"style":981},[610],[572,2043,2030],{"className":2044},[615],[1698,2046,2047],{},[572,2048,2050,2063],{"className":2049},[575],[572,2051,2053],{"className":2052},[579],[581,2054,2055],{"xmlns":583},[585,2056,2057,2061],{},[588,2058,2059],{},[967,2060,1460],{},[595,2062,1460],{"encoding":597},[572,2064,2066],{"className":2065,"ariaHidden":602},[601],[572,2067,2069,2072],{"className":2068},[606],[572,2070],{"className":2071,"style":981},[610],[572,2073,1460],{"className":2074},[615],[564,2076,2077,2078,2276,2277,2280,2281,2449,2450,2582],{},"Eine zufällig gewählte Person fährt mit Wahrscheinlichkeit ",[572,2079,2081,2118],{"className":2080},[575],[572,2082,2084],{"className":2083},[579],[581,2085,2086],{"xmlns":583},[585,2087,2088,2115],{},[588,2089,2090,2092,2094,2096,2098,2100,2102,2104,2110,2112],{},[591,2091,739],{},[741,2093,744],{"stretchy":743},[591,2095,593],{},[741,2097,749],{},[591,2099,632],{},[741,2101,754],{"stretchy":743},[741,2103,778],{},[1025,2105,2106,2108],{},[967,2107,1744],{},[967,2109,1460],{},[741,2111,778],{},[967,2113,2114],{},"0,375",[595,2116,2117],{"encoding":597},"P(A \\cap B) = \\frac{150}{400} = 0{,}375",[572,2119,2121,2145,2166,2253],{"className":2120,"ariaHidden":602},[601],[572,2122,2124,2127,2130,2133,2136,2139,2142],{"className":2123},[606],[572,2125],{"className":2126,"style":799},[610],[572,2128,739],{"className":2129,"style":803},[615,616],[572,2131,744],{"className":2132},[807],[572,2134,593],{"className":2135},[615,616],[572,2137],{"className":2138,"style":815},[814],[572,2140,749],{"className":2141},[819],[572,2143],{"className":2144,"style":815},[814],[572,2146,2148,2151,2154,2157,2160,2163],{"className":2147},[606],[572,2149],{"className":2150,"style":799},[610],[572,2152,632],{"className":2153,"style":647},[615,616],[572,2155,754],{"className":2156},[835],[572,2158],{"className":2159,"style":924},[814],[572,2161,778],{"className":2162},[928],[572,2164],{"className":2165,"style":924},[814],[572,2167,2169,2173,2244,2247,2250],{"className":2168},[606],[572,2170],{"className":2171,"style":2172},[610],"height:1.1901em;vertical-align:-0.345em;",[572,2174,2176,2179,2241],{"className":2175},[615],[572,2177],{"className":2178},[807,1146],[572,2180,2182],{"className":2181},[1025],[572,2183,2185,2232],{"className":2184},[883,1076],[572,2186,2188,2229],{"className":2187},[887],[572,2189,2192,2206,2214],{"className":2190,"style":2191},[891],"height:0.8451em;",[572,2193,2194,2197],{"style":1162},[572,2195],{"className":2196,"style":900},[899],[572,2198,2200],{"className":2199},[1094,1095,1096,1097],[572,2201,2203],{"className":2202},[615,1097],[572,2204,1460],{"className":2205},[615,1097],[572,2207,2208,2211],{"style":1186},[572,2209],{"className":2210,"style":900},[899],[572,2212],{"className":2213,"style":917},[1193],[572,2215,2217,2220],{"style":2216},"top:-3.394em;",[572,2218],{"className":2219,"style":900},[899],[572,2221,2223],{"className":2222},[1094,1095,1096,1097],[572,2224,2226],{"className":2225},[615,1097],[572,2227,1744],{"className":2228},[615,1097],[572,2230,1105],{"className":2231},[1104],[572,2233,2235],{"className":2234},[887],[572,2236,2239],{"className":2237,"style":2238},[891],"height:0.345em;",[572,2240],{},[572,2242],{"className":2243},[835,1146],[572,2245],{"className":2246,"style":924},[814],[572,2248,778],{"className":2249},[928],[572,2251],{"className":2252,"style":924},[814],[572,2254,2256,2260,2264,2272],{"className":2255},[606],[572,2257],{"className":2258,"style":2259},[610],"height:0.8389em;vertical-align:-0.1944em;",[572,2261,2263],{"className":2262},[615],"0",[572,2265,2267],{"className":2266},[615],[572,2268,2271],{"className":2269},[2270],"mpunct",",",[572,2273,2275],{"className":2274},[615],"375"," Bus ",[568,2278,2279],{},"und"," wohnt weit weg. Busfahrer insgesamt: ",[572,2282,2284,2317],{"className":2283},[575],[572,2285,2287],{"className":2286},[579],[581,2288,2289],{"xmlns":583},[585,2290,2291,2314],{},[588,2292,2293,2295,2297,2299,2301,2303,2309,2311],{},[591,2294,739],{},[741,2296,744],{"stretchy":743},[591,2298,593],{},[741,2300,754],{"stretchy":743},[741,2302,778],{},[1025,2304,2305,2307],{},[967,2306,1806],{},[967,2308,1460],{},[741,2310,778],{},[967,2312,2313],{},"0,45",[595,2315,2316],{"encoding":597},"P(A) = \\frac{180}{400} = 0{,}45",[572,2318,2320,2347,2430],{"className":2319,"ariaHidden":602},[601],[572,2321,2323,2326,2329,2332,2335,2338,2341,2344],{"className":2322},[606],[572,2324],{"className":2325,"style":799},[610],[572,2327,739],{"className":2328,"style":803},[615,616],[572,2330,744],{"className":2331},[807],[572,2333,593],{"className":2334},[615,616],[572,2336,754],{"className":2337},[835],[572,2339],{"className":2340,"style":924},[814],[572,2342,778],{"className":2343},[928],[572,2345],{"className":2346,"style":924},[814],[572,2348,2350,2353,2421,2424,2427],{"className":2349},[606],[572,2351],{"className":2352,"style":2172},[610],[572,2354,2356,2359,2418],{"className":2355},[615],[572,2357],{"className":2358},[807,1146],[572,2360,2362],{"className":2361},[1025],[572,2363,2365,2410],{"className":2364},[883,1076],[572,2366,2368,2407],{"className":2367},[887],[572,2369,2371,2385,2393],{"className":2370,"style":2191},[891],[572,2372,2373,2376],{"style":1162},[572,2374],{"className":2375,"style":900},[899],[572,2377,2379],{"className":2378},[1094,1095,1096,1097],[572,2380,2382],{"className":2381},[615,1097],[572,2383,1460],{"className":2384},[615,1097],[572,2386,2387,2390],{"style":1186},[572,2388],{"className":2389,"style":900},[899],[572,2391],{"className":2392,"style":917},[1193],[572,2394,2395,2398],{"style":2216},[572,2396],{"className":2397,"style":900},[899],[572,2399,2401],{"className":2400},[1094,1095,1096,1097],[572,2402,2404],{"className":2403},[615,1097],[572,2405,1806],{"className":2406},[615,1097],[572,2408,1105],{"className":2409},[1104],[572,2411,2413],{"className":2412},[887],[572,2414,2416],{"className":2415,"style":2238},[891],[572,2417],{},[572,2419],{"className":2420},[835,1146],[572,2422],{"className":2423,"style":924},[814],[572,2425,778],{"className":2426},[928],[572,2428],{"className":2429,"style":924},[814],[572,2431,2433,2436,2439,2445],{"className":2432},[606],[572,2434],{"className":2435,"style":2259},[610],[572,2437,2263],{"className":2438},[615],[572,2440,2442],{"className":2441},[615],[572,2443,2271],{"className":2444},[2270],[572,2446,2448],{"className":2447},[615],"45",". Von denen, die weit weg wohnen, fahren ",[572,2451,2453,2477],{"className":2452},[575],[572,2454,2456],{"className":2455},[579],[581,2457,2458],{"xmlns":583},[585,2459,2460,2474],{},[588,2461,2462,2468,2471],{},[1025,2463,2464,2466],{},[967,2465,1744],{},[967,2467,1999],{},[741,2469,2470],{},"≈",[967,2472,2473],{},"0,882",[595,2475,2476],{"encoding":597},"\\frac{150}{170} \\approx 0{,}882",[572,2478,2480,2563],{"className":2479,"ariaHidden":602},[601],[572,2481,2483,2486,2554,2557,2560],{"className":2482},[606],[572,2484],{"className":2485,"style":2172},[610],[572,2487,2489,2492,2551],{"className":2488},[615],[572,2490],{"className":2491},[807,1146],[572,2493,2495],{"className":2494},[1025],[572,2496,2498,2543],{"className":2497},[883,1076],[572,2499,2501,2540],{"className":2500},[887],[572,2502,2504,2518,2526],{"className":2503,"style":2191},[891],[572,2505,2506,2509],{"style":1162},[572,2507],{"className":2508,"style":900},[899],[572,2510,2512],{"className":2511},[1094,1095,1096,1097],[572,2513,2515],{"className":2514},[615,1097],[572,2516,1999],{"className":2517},[615,1097],[572,2519,2520,2523],{"style":1186},[572,2521],{"className":2522,"style":900},[899],[572,2524],{"className":2525,"style":917},[1193],[572,2527,2528,2531],{"style":2216},[572,2529],{"className":2530,"style":900},[899],[572,2532,2534],{"className":2533},[1094,1095,1096,1097],[572,2535,2537],{"className":2536},[615,1097],[572,2538,1744],{"className":2539},[615,1097],[572,2541,1105],{"className":2542},[1104],[572,2544,2546],{"className":2545},[887],[572,2547,2549],{"className":2548,"style":2238},[891],[572,2550],{},[572,2552],{"className":2553},[835,1146],[572,2555],{"className":2556,"style":924},[814],[572,2558,2470],{"className":2559},[928],[572,2561],{"className":2562,"style":924},[814],[572,2564,2566,2569,2572,2578],{"className":2565},[606],[572,2567],{"className":2568,"style":2259},[610],[572,2570,2263],{"className":2571},[615],[572,2573,2575],{"className":2574},[615],[572,2576,2271],{"className":2577},[2270],[572,2579,2581],{"className":2580},[615],"882"," mit dem Bus.",[564,2584,2585,2586,2663,2664,617,2741,2840],{},"Gegeben sind ",[572,2587,2589,2614],{"className":2588},[575],[572,2590,2592],{"className":2591},[579],[581,2593,2594],{"xmlns":583},[585,2595,2596,2611],{},[588,2597,2598,2600,2602,2604,2606,2608],{},[591,2599,739],{},[741,2601,744],{"stretchy":743},[591,2603,593],{},[741,2605,754],{"stretchy":743},[741,2607,778],{},[967,2609,2610],{},"0,3",[595,2612,2613],{"encoding":597},"P(A) = 0{,}3",[572,2615,2617,2644],{"className":2616,"ariaHidden":602},[601],[572,2618,2620,2623,2626,2629,2632,2635,2638,2641],{"className":2619},[606],[572,2621],{"className":2622,"style":799},[610],[572,2624,739],{"className":2625,"style":803},[615,616],[572,2627,744],{"className":2628},[807],[572,2630,593],{"className":2631},[615,616],[572,2633,754],{"className":2634},[835],[572,2636],{"className":2637,"style":924},[814],[572,2639,778],{"className":2640},[928],[572,2642],{"className":2643,"style":924},[814],[572,2645,2647,2650,2653,2659],{"className":2646},[606],[572,2648],{"className":2649,"style":2259},[610],[572,2651,2263],{"className":2652},[615],[572,2654,2656],{"className":2655},[615],[572,2657,2271],{"className":2658},[2270],[572,2660,2662],{"className":2661},[615],"3",", ",[572,2665,2667,2692],{"className":2666},[575],[572,2668,2670],{"className":2669},[579],[581,2671,2672],{"xmlns":583},[585,2673,2674,2689],{},[588,2675,2676,2678,2680,2682,2684,2686],{},[591,2677,739],{},[741,2679,744],{"stretchy":743},[591,2681,632],{},[741,2683,754],{"stretchy":743},[741,2685,778],{},[967,2687,2688],{},"0,6",[595,2690,2691],{"encoding":597},"P(B) = 0{,}6",[572,2693,2695,2722],{"className":2694,"ariaHidden":602},[601],[572,2696,2698,2701,2704,2707,2710,2713,2716,2719],{"className":2697},[606],[572,2699],{"className":2700,"style":799},[610],[572,2702,739],{"className":2703,"style":803},[615,616],[572,2705,744],{"className":2706},[807],[572,2708,632],{"className":2709,"style":647},[615,616],[572,2711,754],{"className":2712},[835],[572,2714],{"className":2715,"style":924},[814],[572,2717,778],{"className":2718},[928],[572,2720],{"className":2721,"style":924},[814],[572,2723,2725,2728,2731,2737],{"className":2724},[606],[572,2726],{"className":2727,"style":2259},[610],[572,2729,2263],{"className":2730},[615],[572,2732,2734],{"className":2733},[615],[572,2735,2271],{"className":2736},[2270],[572,2738,2740],{"className":2739},[615],"6",[572,2742,2744,2773],{"className":2743},[575],[572,2745,2747],{"className":2746},[579],[581,2748,2749],{"xmlns":583},[585,2750,2751,2770],{},[588,2752,2753,2755,2757,2759,2761,2763,2765,2767],{},[591,2754,739],{},[741,2756,744],{"stretchy":743},[591,2758,593],{},[741,2760,749],{},[591,2762,632],{},[741,2764,754],{"stretchy":743},[741,2766,778],{},[967,2768,2769],{},"0,12",[595,2771,2772],{"encoding":597},"P(A \\cap B) = 0{,}12",[572,2774,2776,2800,2821],{"className":2775,"ariaHidden":602},[601],[572,2777,2779,2782,2785,2788,2791,2794,2797],{"className":2778},[606],[572,2780],{"className":2781,"style":799},[610],[572,2783,739],{"className":2784,"style":803},[615,616],[572,2786,744],{"className":2787},[807],[572,2789,593],{"className":2790},[615,616],[572,2792],{"className":2793,"style":815},[814],[572,2795,749],{"className":2796},[819],[572,2798],{"className":2799,"style":815},[814],[572,2801,2803,2806,2809,2812,2815,2818],{"className":2802},[606],[572,2804],{"className":2805,"style":799},[610],[572,2807,632],{"className":2808,"style":647},[615,616],[572,2810,754],{"className":2811},[835],[572,2813],{"className":2814,"style":924},[814],[572,2816,778],{"className":2817},[928],[572,2819],{"className":2820,"style":924},[814],[572,2822,2824,2827,2830,2836],{"className":2823},[606],[572,2825],{"className":2826,"style":2259},[610],[572,2828,2263],{"className":2829},[615],[572,2831,2833],{"className":2832},[615],[572,2834,2271],{"className":2835},[2270],[572,2837,2839],{"className":2838},[615],"12",". Ergänzen der Tafel:",[711,2842,2843,3039,3234],{},[714,2844,2845],{},[572,2846,2848,2890],{"className":2847},[575],[572,2849,2851],{"className":2850},[579],[581,2852,2853],{"xmlns":583},[585,2854,2855,2887],{},[588,2856,2857,2859,2861,2863,2865,2871,2873,2875,2877,2880,2882,2884],{},[591,2858,739],{},[741,2860,744],{"stretchy":743},[591,2862,593],{},[741,2864,749],{},[767,2866,2867,2869],{"accent":602},[591,2868,632],{},[741,2870,773],{"stretchy":602},[741,2872,754],{"stretchy":743},[741,2874,778],{},[967,2876,2610],{},[741,2878,2879],{},"−",[967,2881,2769],{},[741,2883,778],{},[967,2885,2886],{},"0,18",[595,2888,2889],{"encoding":597},"P(A \\cap \\overline{B}) = 0{,}3 - 0{,}12 = 0{,}18",[572,2891,2893,2917,2966,2993,3020],{"className":2892,"ariaHidden":602},[601],[572,2894,2896,2899,2902,2905,2908,2911,2914],{"className":2895},[606],[572,2897],{"className":2898,"style":799},[610],[572,2900,739],{"className":2901,"style":803},[615,616],[572,2903,744],{"className":2904},[807],[572,2906,593],{"className":2907},[615,616],[572,2909],{"className":2910,"style":815},[814],[572,2912,749],{"className":2913},[819],[572,2915],{"className":2916,"style":815},[814],[572,2918,2920,2923,2954,2957,2960,2963],{"className":2919},[606],[572,2921],{"className":2922,"style":875},[610],[572,2924,2926],{"className":2925},[615,879],[572,2927,2929],{"className":2928},[883],[572,2930,2932],{"className":2931},[887],[572,2933,2935,2946],{"className":2934,"style":892},[891],[572,2936,2937,2940],{"style":895},[572,2938],{"className":2939,"style":900},[899],[572,2941,2943],{"className":2942},[615],[572,2944,632],{"className":2945,"style":647},[615,616],[572,2947,2948,2951],{"style":909},[572,2949],{"className":2950,"style":900},[899],[572,2952],{"className":2953,"style":917},[916],[572,2955,754],{"className":2956},[835],[572,2958],{"className":2959,"style":924},[814],[572,2961,778],{"className":2962},[928],[572,2964],{"className":2965,"style":924},[814],[572,2967,2969,2972,2975,2981,2984,2987,2990],{"className":2968},[606],[572,2970],{"className":2971,"style":2259},[610],[572,2973,2263],{"className":2974},[615],[572,2976,2978],{"className":2977},[615],[572,2979,2271],{"className":2980},[2270],[572,2982,2662],{"className":2983},[615],[572,2985],{"className":2986,"style":815},[814],[572,2988,2879],{"className":2989},[819],[572,2991],{"className":2992,"style":815},[814],[572,2994,2996,2999,3002,3008,3011,3014,3017],{"className":2995},[606],[572,2997],{"className":2998,"style":2259},[610],[572,3000,2263],{"className":3001},[615],[572,3003,3005],{"className":3004},[615],[572,3006,2271],{"className":3007},[2270],[572,3009,2839],{"className":3010},[615],[572,3012],{"className":3013,"style":924},[814],[572,3015,778],{"className":3016},[928],[572,3018],{"className":3019,"style":924},[814],[572,3021,3023,3026,3029,3035],{"className":3022},[606],[572,3024],{"className":3025,"style":2259},[610],[572,3027,2263],{"className":3028},[615],[572,3030,3032],{"className":3031},[615],[572,3033,2271],{"className":3034},[2270],[572,3036,3038],{"className":3037},[615],"18",[714,3040,3041],{},[572,3042,3044,3085],{"className":3043},[575],[572,3045,3047],{"className":3046},[579],[581,3048,3049],{"xmlns":583},[585,3050,3051,3082],{},[588,3052,3053,3055,3057,3063,3065,3067,3069,3071,3073,3075,3077,3079],{},[591,3054,739],{},[741,3056,744],{"stretchy":743},[767,3058,3059,3061],{"accent":602},[591,3060,593],{},[741,3062,773],{"stretchy":602},[741,3064,749],{},[591,3066,632],{},[741,3068,754],{"stretchy":743},[741,3070,778],{},[967,3072,2688],{},[741,3074,2879],{},[967,3076,2769],{},[741,3078,778],{},[967,3080,3081],{},"0,48",[595,3083,3084],{"encoding":597},"P(\\overline{A} \\cap B) = 0{,}6 - 0{,}12 = 0{,}48",[572,3086,3088,3140,3161,3188,3215],{"className":3087,"ariaHidden":602},[601],[572,3089,3091,3094,3097,3100,3131,3134,3137],{"className":3090},[606],[572,3092],{"className":3093,"style":875},[610],[572,3095,739],{"className":3096,"style":803},[615,616],[572,3098,744],{"className":3099},[807],[572,3101,3103],{"className":3102},[615,879],[572,3104,3106],{"className":3105},[883],[572,3107,3109],{"className":3108},[887],[572,3110,3112,3123],{"className":3111,"style":892},[891],[572,3113,3114,3117],{"style":895},[572,3115],{"className":3116,"style":900},[899],[572,3118,3120],{"className":3119},[615],[572,3121,593],{"className":3122},[615,616],[572,3124,3125,3128],{"style":909},[572,3126],{"className":3127,"style":900},[899],[572,3129],{"className":3130,"style":917},[916],[572,3132],{"className":3133,"style":815},[814],[572,3135,749],{"className":3136},[819],[572,3138],{"className":3139,"style":815},[814],[572,3141,3143,3146,3149,3152,3155,3158],{"className":3142},[606],[572,3144],{"className":3145,"style":799},[610],[572,3147,632],{"className":3148,"style":647},[615,616],[572,3150,754],{"className":3151},[835],[572,3153],{"className":3154,"style":924},[814],[572,3156,778],{"className":3157},[928],[572,3159],{"className":3160,"style":924},[814],[572,3162,3164,3167,3170,3176,3179,3182,3185],{"className":3163},[606],[572,3165],{"className":3166,"style":2259},[610],[572,3168,2263],{"className":3169},[615],[572,3171,3173],{"className":3172},[615],[572,3174,2271],{"className":3175},[2270],[572,3177,2740],{"className":3178},[615],[572,3180],{"className":3181,"style":815},[814],[572,3183,2879],{"className":3184},[819],[572,3186],{"className":3187,"style":815},[814],[572,3189,3191,3194,3197,3203,3206,3209,3212],{"className":3190},[606],[572,3192],{"className":3193,"style":2259},[610],[572,3195,2263],{"className":3196},[615],[572,3198,3200],{"className":3199},[615],[572,3201,2271],{"className":3202},[2270],[572,3204,2839],{"className":3205},[615],[572,3207],{"className":3208,"style":924},[814],[572,3210,778],{"className":3211},[928],[572,3213],{"className":3214,"style":924},[814],[572,3216,3218,3221,3224,3230],{"className":3217},[606],[572,3219],{"className":3220,"style":2259},[610],[572,3222,2263],{"className":3223},[615],[572,3225,3227],{"className":3226},[615],[572,3228,2271],{"className":3229},[2270],[572,3231,3233],{"className":3232},[615],"48",[714,3235,3236,3399,3400],{},[572,3237,3239,3276],{"className":3238},[575],[572,3240,3242],{"className":3241},[579],[581,3243,3244],{"xmlns":583},[585,3245,3246,3273],{},[588,3247,3248,3250,3252,3258,3260,3262,3264,3266,3268,3270],{},[591,3249,739],{},[741,3251,744],{"stretchy":743},[767,3253,3254,3256],{"accent":602},[591,3255,593],{},[741,3257,773],{"stretchy":602},[741,3259,754],{"stretchy":743},[741,3261,778],{},[967,3263,969],{},[741,3265,2879],{},[967,3267,2610],{},[741,3269,778],{},[967,3271,3272],{},"0,7",[595,3274,3275],{"encoding":597},"P(\\overline{A}) = 1 - 0{,}3 = 0{,}7",[572,3277,3279,3334,3353,3380],{"className":3278,"ariaHidden":602},[601],[572,3280,3282,3285,3288,3291,3322,3325,3328,3331],{"className":3281},[606],[572,3283],{"className":3284,"style":875},[610],[572,3286,739],{"className":3287,"style":803},[615,616],[572,3289,744],{"className":3290},[807],[572,3292,3294],{"className":3293},[615,879],[572,3295,3297],{"className":3296},[883],[572,3298,3300],{"className":3299},[887],[572,3301,3303,3314],{"className":3302,"style":892},[891],[572,3304,3305,3308],{"style":895},[572,3306],{"className":3307,"style":900},[899],[572,3309,3311],{"className":3310},[615],[572,3312,593],{"className":3313},[615,616],[572,3315,3316,3319],{"style":909},[572,3317],{"className":3318,"style":900},[899],[572,3320],{"className":3321,"style":917},[916],[572,3323,754],{"className":3324},[835],[572,3326],{"className":3327,"style":924},[814],[572,3329,778],{"className":3330},[928],[572,3332],{"className":3333,"style":924},[814],[572,3335,3337,3341,3344,3347,3350],{"className":3336},[606],[572,3338],{"className":3339,"style":3340},[610],"height:0.7278em;vertical-align:-0.0833em;",[572,3342,969],{"className":3343},[615],[572,3345],{"className":3346,"style":815},[814],[572,3348,2879],{"className":3349},[819],[572,3351],{"className":3352,"style":815},[814],[572,3354,3356,3359,3362,3368,3371,3374,3377],{"className":3355},[606],[572,3357],{"className":3358,"style":2259},[610],[572,3360,2263],{"className":3361},[615],[572,3363,3365],{"className":3364},[615],[572,3366,2271],{"className":3367},[2270],[572,3369,2662],{"className":3370},[615],[572,3372],{"className":3373,"style":924},[814],[572,3375,778],{"className":3376},[928],[572,3378],{"className":3379,"style":924},[814],[572,3381,3383,3386,3389,3395],{"className":3382},[606],[572,3384],{"className":3385,"style":2259},[610],[572,3387,2263],{"className":3388},[615],[572,3390,3392],{"className":3391},[615],[572,3393,2271],{"className":3394},[2270],[572,3396,3398],{"className":3397},[615],"7",", also ",[572,3401,3403,3448],{"className":3402},[575],[572,3404,3406],{"className":3405},[579],[581,3407,3408],{"xmlns":583},[585,3409,3410,3445],{},[588,3411,3412,3414,3416,3422,3424,3430,3432,3434,3436,3438,3440,3442],{},[591,3413,739],{},[741,3415,744],{"stretchy":743},[767,3417,3418,3420],{"accent":602},[591,3419,593],{},[741,3421,773],{"stretchy":602},[741,3423,749],{},[767,3425,3426,3428],{"accent":602},[591,3427,632],{},[741,3429,773],{"stretchy":602},[741,3431,754],{"stretchy":743},[741,3433,778],{},[967,3435,3272],{},[741,3437,2879],{},[967,3439,3081],{},[741,3441,778],{},[967,3443,3444],{},"0,22",[595,3446,3447],{"encoding":597},"P(\\overline{A} \\cap \\overline{B}) = 0{,}7 - 0{,}48 = 0{,}22",[572,3449,3451,3503,3552,3579,3606],{"className":3450,"ariaHidden":602},[601],[572,3452,3454,3457,3460,3463,3494,3497,3500],{"className":3453},[606],[572,3455],{"className":3456,"style":875},[610],[572,3458,739],{"className":3459,"style":803},[615,616],[572,3461,744],{"className":3462},[807],[572,3464,3466],{"className":3465},[615,879],[572,3467,3469],{"className":3468},[883],[572,3470,3472],{"className":3471},[887],[572,3473,3475,3486],{"className":3474,"style":892},[891],[572,3476,3477,3480],{"style":895},[572,3478],{"className":3479,"style":900},[899],[572,3481,3483],{"className":3482},[615],[572,3484,593],{"className":3485},[615,616],[572,3487,3488,3491],{"style":909},[572,3489],{"className":3490,"style":900},[899],[572,3492],{"className":3493,"style":917},[916],[572,3495],{"className":3496,"style":815},[814],[572,3498,749],{"className":3499},[819],[572,3501],{"className":3502,"style":815},[814],[572,3504,3506,3509,3540,3543,3546,3549],{"className":3505},[606],[572,3507],{"className":3508,"style":875},[610],[572,3510,3512],{"className":3511},[615,879],[572,3513,3515],{"className":3514},[883],[572,3516,3518],{"className":3517},[887],[572,3519,3521,3532],{"className":3520,"style":892},[891],[572,3522,3523,3526],{"style":895},[572,3524],{"className":3525,"style":900},[899],[572,3527,3529],{"className":3528},[615],[572,3530,632],{"className":3531,"style":647},[615,616],[572,3533,3534,3537],{"style":909},[572,3535],{"className":3536,"style":900},[899],[572,3538],{"className":3539,"style":917},[916],[572,3541,754],{"className":3542},[835],[572,3544],{"className":3545,"style":924},[814],[572,3547,778],{"className":3548},[928],[572,3550],{"className":3551,"style":924},[814],[572,3553,3555,3558,3561,3567,3570,3573,3576],{"className":3554},[606],[572,3556],{"className":3557,"style":2259},[610],[572,3559,2263],{"className":3560},[615],[572,3562,3564],{"className":3563},[615],[572,3565,2271],{"className":3566},[2270],[572,3568,3398],{"className":3569},[615],[572,3571],{"className":3572,"style":815},[814],[572,3574,2879],{"className":3575},[819],[572,3577],{"className":3578,"style":815},[814],[572,3580,3582,3585,3588,3594,3597,3600,3603],{"className":3581},[606],[572,3583],{"className":3584,"style":2259},[610],[572,3586,2263],{"className":3587},[615],[572,3589,3591],{"className":3590},[615],[572,3592,2271],{"className":3593},[2270],[572,3595,3233],{"className":3596},[615],[572,3598],{"className":3599,"style":924},[814],[572,3601,778],{"className":3602},[928],[572,3604],{"className":3605,"style":924},[814],[572,3607,3609,3612,3615,3621],{"className":3608},[606],[572,3610],{"className":3611,"style":2259},[610],[572,3613,2263],{"className":3614},[615],[572,3616,3618],{"className":3617},[615],[572,3619,2271],{"className":3620},[2270],[572,3622,3624],{"className":3623},[615],"22",[564,3626,3627,3628,3688,3689,3791,3792,4040,4041,617,4069,4097],{},"Kontrolle über die Spalte ",[572,3629,3631,3648],{"className":3630},[575],[572,3632,3634],{"className":3633},[579],[581,3635,3636],{"xmlns":583},[585,3637,3638,3646],{},[588,3639,3640],{},[767,3641,3642,3644],{"accent":602},[591,3643,632],{},[741,3645,773],{"stretchy":602},[595,3647,1648],{"encoding":597},[572,3649,3651],{"className":3650,"ariaHidden":602},[601],[572,3652,3654,3657],{"className":3653},[606],[572,3655],{"className":3656,"style":892},[610],[572,3658,3660],{"className":3659},[615,879],[572,3661,3663],{"className":3662},[883],[572,3664,3666],{"className":3665},[887],[572,3667,3669,3680],{"className":3668,"style":892},[891],[572,3670,3671,3674],{"style":895},[572,3672],{"className":3673,"style":900},[899],[572,3675,3677],{"className":3676},[615],[572,3678,632],{"className":3679,"style":647},[615,616],[572,3681,3682,3685],{"style":909},[572,3683],{"className":3684,"style":900},[899],[572,3686],{"className":3687,"style":917},[916],": ",[572,3690,3692,3715],{"className":3691},[575],[572,3693,3695],{"className":3694},[579],[581,3696,3697],{"xmlns":583},[585,3698,3699,3712],{},[588,3700,3701,3704,3706,3708,3710],{},[967,3702,3703],{},"0,4",[741,3705,2879],{},[967,3707,2886],{},[741,3709,778],{},[967,3711,3444],{},[595,3713,3714],{"encoding":597},"0{,}4 - 0{,}18 = 0{,}22",[572,3716,3718,3746,3773],{"className":3717,"ariaHidden":602},[601],[572,3719,3721,3724,3727,3733,3737,3740,3743],{"className":3720},[606],[572,3722],{"className":3723,"style":2259},[610],[572,3725,2263],{"className":3726},[615],[572,3728,3730],{"className":3729},[615],[572,3731,2271],{"className":3732},[2270],[572,3734,3736],{"className":3735},[615],"4",[572,3738],{"className":3739,"style":815},[814],[572,3741,2879],{"className":3742},[819],[572,3744],{"className":3745,"style":815},[814],[572,3747,3749,3752,3755,3761,3764,3767,3770],{"className":3748},[606],[572,3750],{"className":3751,"style":2259},[610],[572,3753,2263],{"className":3754},[615],[572,3756,3758],{"className":3757},[615],[572,3759,2271],{"className":3760},[2270],[572,3762,3038],{"className":3763},[615],[572,3765],{"className":3766,"style":924},[814],[572,3768,778],{"className":3769},[928],[572,3771],{"className":3772,"style":924},[814],[572,3774,3776,3779,3782,3788],{"className":3775},[606],[572,3777],{"className":3778,"style":2259},[610],[572,3780,2263],{"className":3781},[615],[572,3783,3785],{"className":3784},[615],[572,3786,2271],{"className":3787},[2270],[572,3789,3624],{"className":3790},[615],". Wegen ",[572,3793,3795,3843],{"className":3794},[575],[572,3796,3798],{"className":3797},[579],[581,3799,3800],{"xmlns":583},[585,3801,3802,3840],{},[588,3803,3804,3806,3808,3810,3812,3814,3816,3818,3820,3822,3824,3826,3828,3830,3832,3834,3838],{},[591,3805,739],{},[741,3807,744],{"stretchy":743},[591,3809,593],{},[741,3811,754],{"stretchy":743},[741,3813,1333],{},[591,3815,739],{},[741,3817,744],{"stretchy":743},[591,3819,632],{},[741,3821,754],{"stretchy":743},[741,3823,778],{},[967,3825,2610],{},[741,3827,1333],{},[967,3829,2688],{},[741,3831,778],{},[967,3833,2886],{},[741,3835,3837],{"mathvariant":3836},"normal","≠",[967,3839,2769],{},[595,3841,3842],{"encoding":597},"P(A) \\cdot P(B) = 0{,}3 \\cdot 0{,}6 = 0{,}18 \\neq 0{,}12",[572,3844,3846,3873,3900,3927,3954,4022],{"className":3845,"ariaHidden":602},[601],[572,3847,3849,3852,3855,3858,3861,3864,3867,3870],{"className":3848},[606],[572,3850],{"className":3851,"style":799},[610],[572,3853,739],{"className":3854,"style":803},[615,616],[572,3856,744],{"className":3857},[807],[572,3859,593],{"className":3860},[615,616],[572,3862,754],{"className":3863},[835],[572,3865],{"className":3866,"style":815},[814],[572,3868,1333],{"className":3869},[819],[572,3871],{"className":3872,"style":815},[814],[572,3874,3876,3879,3882,3885,3888,3891,3894,3897],{"className":3875},[606],[572,3877],{"className":3878,"style":799},[610],[572,3880,739],{"className":3881,"style":803},[615,616],[572,3883,744],{"className":3884},[807],[572,3886,632],{"className":3887,"style":647},[615,616],[572,3889,754],{"className":3890},[835],[572,3892],{"className":3893,"style":924},[814],[572,3895,778],{"className":3896},[928],[572,3898],{"className":3899,"style":924},[814],[572,3901,3903,3906,3909,3915,3918,3921,3924],{"className":3902},[606],[572,3904],{"className":3905,"style":2259},[610],[572,3907,2263],{"className":3908},[615],[572,3910,3912],{"className":3911},[615],[572,3913,2271],{"className":3914},[2270],[572,3916,2662],{"className":3917},[615],[572,3919],{"className":3920,"style":815},[814],[572,3922,1333],{"className":3923},[819],[572,3925],{"className":3926,"style":815},[814],[572,3928,3930,3933,3936,3942,3945,3948,3951],{"className":3929},[606],[572,3931],{"className":3932,"style":2259},[610],[572,3934,2263],{"className":3935},[615],[572,3937,3939],{"className":3938},[615],[572,3940,2271],{"className":3941},[2270],[572,3943,2740],{"className":3944},[615],[572,3946],{"className":3947,"style":924},[814],[572,3949,778],{"className":3950},[928],[572,3952],{"className":3953,"style":924},[814],[572,3955,3957,3961,3964,3970,3973,3976,4019],{"className":3956},[606],[572,3958],{"className":3959,"style":3960},[610],"height:0.8889em;vertical-align:-0.1944em;",[572,3962,2263],{"className":3963},[615],[572,3965,3967],{"className":3966},[615],[572,3968,2271],{"className":3969},[2270],[572,3971,3038],{"className":3972},[615],[572,3974],{"className":3975,"style":924},[814],[572,3977,3979,4012,4016],{"className":3978},[928],[572,3980,3982],{"className":3981},[928],[572,3983,3986],{"className":3984},[615,3985],"vbox",[572,3987,3990],{"className":3988},[3989],"thinbox",[572,3991,3994,3997,4008],{"className":3992},[3993],"rlap",[572,3995],{"className":3996,"style":3960},[610],[572,3998,4001],{"className":3999},[4000],"inner",[572,4002,4004],{"className":4003},[615],[572,4005,4007],{"className":4006},[928],"",[572,4009],{"className":4010},[4011],"fix",[572,4013],{"className":4014},[814,4015],"nobreak",[572,4017,778],{"className":4018},[928],[572,4020],{"className":4021,"style":924},[814],[572,4023,4025,4028,4031,4037],{"className":4024},[606],[572,4026],{"className":4027,"style":2259},[610],[572,4029,2263],{"className":4030},[615],[572,4032,4034],{"className":4033},[615],[572,4035,2271],{"className":4036},[2270],[572,4038,2839],{"className":4039},[615]," sind ",[572,4042,4044,4057],{"className":4043},[575],[572,4045,4047],{"className":4046},[579],[581,4048,4049],{"xmlns":583},[585,4050,4051,4055],{},[588,4052,4053],{},[591,4054,593],{},[595,4056,593],{"encoding":597},[572,4058,4060],{"className":4059,"ariaHidden":602},[601],[572,4061,4063,4066],{"className":4062},[606],[572,4064],{"className":4065,"style":611},[610],[572,4067,593],{"className":4068},[615,616],[572,4070,4072,4085],{"className":4071},[575],[572,4073,4075],{"className":4074},[579],[581,4076,4077],{"xmlns":583},[585,4078,4079,4083],{},[588,4080,4081],{},[591,4082,632],{},[595,4084,632],{"encoding":597},[572,4086,4088],{"className":4087,"ariaHidden":602},[601],[572,4089,4091,4094],{"className":4090},[606],[572,4092],{"className":4093,"style":611},[610],[572,4095,632],{"className":4096,"style":647},[615,616]," nicht unabhängig.",[559,4099,4101],{"id":4100},"typische-fehler","Typische Fehler",[711,4103,4104,4368,4427],{},[714,4105,4106,617,4172,4257,4258,4296,4297,4300,4301,4339,4340,950],{},[572,4107,4109,4133],{"className":4108},[575],[572,4110,4112],{"className":4111},[579],[581,4113,4114],{"xmlns":583},[585,4115,4116,4130],{},[588,4117,4118,4120,4122,4124,4126,4128],{},[591,4119,739],{},[741,4121,744],{"stretchy":743},[591,4123,593],{},[741,4125,749],{},[591,4127,632],{},[741,4129,754],{"stretchy":743},[595,4131,4132],{"encoding":597},"P(A \\cap B)",[572,4134,4136,4160],{"className":4135,"ariaHidden":602},[601],[572,4137,4139,4142,4145,4148,4151,4154,4157],{"className":4138},[606],[572,4140],{"className":4141,"style":799},[610],[572,4143,739],{"className":4144,"style":803},[615,616],[572,4146,744],{"className":4147},[807],[572,4149,593],{"className":4150},[615,616],[572,4152],{"className":4153,"style":815},[814],[572,4155,749],{"className":4156},[819],[572,4158],{"className":4159,"style":815},[814],[572,4161,4163,4166,4169],{"className":4162},[606],[572,4164],{"className":4165,"style":799},[610],[572,4167,632],{"className":4168,"style":647},[615,616],[572,4170,754],{"className":4171},[835],[572,4173,4175,4199],{"className":4174},[575],[572,4176,4178],{"className":4177},[579],[581,4179,4180],{"xmlns":583},[585,4181,4182,4196],{},[588,4183,4184,4190,4192,4194],{},[1010,4185,4186,4188],{},[591,4187,739],{},[591,4189,632],{},[741,4191,744],{"stretchy":743},[591,4193,593],{},[741,4195,754],{"stretchy":743},[595,4197,4198],{"encoding":597},"P_B(A)",[572,4200,4202],{"className":4201,"ariaHidden":602},[601],[572,4203,4205,4208,4248,4251,4254],{"className":4204},[606],[572,4206],{"className":4207,"style":799},[610],[572,4209,4211,4214],{"className":4210},[615],[572,4212,739],{"className":4213,"style":803},[615,616],[572,4215,4217],{"className":4216},[1072],[572,4218,4220,4240],{"className":4219},[883,1076],[572,4221,4223,4237],{"className":4222},[887],[572,4224,4226],{"className":4225,"style":1083},[891],[572,4227,4228,4231],{"style":1086},[572,4229],{"className":4230,"style":1090},[899],[572,4232,4234],{"className":4233},[1094,1095,1096,1097],[572,4235,632],{"className":4236,"style":647},[615,616,1097],[572,4238,1105],{"className":4239},[1104],[572,4241,4243],{"className":4242},[887],[572,4244,4246],{"className":4245,"style":1112},[891],[572,4247],{},[572,4249,744],{"className":4250},[807],[572,4252,593],{"className":4253},[615,616],[572,4255,754],{"className":4256},[835]," verwechseln. Im ersten Beispiel ist ",[572,4259,4261,4275],{"className":4260},[575],[572,4262,4264],{"className":4263},[579],[581,4265,4266],{"xmlns":583},[585,4267,4268,4272],{},[588,4269,4270],{},[967,4271,2114],{},[595,4273,4274],{"encoding":597},"0{,}375",[572,4276,4278],{"className":4277,"ariaHidden":602},[601],[572,4279,4281,4284,4287,4293],{"className":4280},[606],[572,4282],{"className":4283,"style":2259},[610],[572,4285,2263],{"className":4286},[615],[572,4288,4290],{"className":4289},[615],[572,4291,2271],{"className":4292},[2270],[572,4294,2275],{"className":4295},[615]," der Anteil an ",[568,4298,4299],{},"allen"," Personen, ",[572,4302,4304,4318],{"className":4303},[575],[572,4305,4307],{"className":4306},[579],[581,4308,4309],{"xmlns":583},[585,4310,4311,4315],{},[588,4312,4313],{},[967,4314,2473],{},[595,4316,4317],{"encoding":597},"0{,}882",[572,4319,4321],{"className":4320,"ariaHidden":602},[601],[572,4322,4324,4327,4330,4336],{"className":4323},[606],[572,4325],{"className":4326,"style":2259},[610],[572,4328,2263],{"className":4329},[615],[572,4331,4333],{"className":4332},[615],[572,4334,2271],{"className":4335},[2270],[572,4337,2581],{"className":4338},[615]," der Anteil nur unter denen mit ",[572,4341,4343,4356],{"className":4342},[575],[572,4344,4346],{"className":4345},[579],[581,4347,4348],{"xmlns":583},[585,4349,4350,4354],{},[588,4351,4352],{},[591,4353,632],{},[595,4355,632],{"encoding":597},[572,4357,4359],{"className":4358,"ariaHidden":602},[601],[572,4360,4362,4365],{"className":4361},[606],[572,4363],{"className":4364,"style":611},[610],[572,4366,632],{"className":4367,"style":647},[615,616],[714,4369,4370,4371,617,4399,706],{},"Randwerte in die inneren Felder schreiben. Innen stehen nur Kombinationen wie „",[572,4372,4374,4387],{"className":4373},[575],[572,4375,4377],{"className":4376},[579],[581,4378,4379],{"xmlns":583},[585,4380,4381,4385],{},[588,4382,4383],{},[591,4384,593],{},[595,4386,593],{"encoding":597},[572,4388,4390],{"className":4389,"ariaHidden":602},[601],[572,4391,4393,4396],{"className":4392},[606],[572,4394],{"className":4395,"style":611},[610],[572,4397,593],{"className":4398},[615,616],[572,4400,4402,4415],{"className":4401},[575],[572,4403,4405],{"className":4404},[579],[581,4406,4407],{"xmlns":583},[585,4408,4409,4413],{},[588,4410,4411],{},[591,4412,632],{},[595,4414,632],{"encoding":597},[572,4416,4418],{"className":4417,"ariaHidden":602},[601],[572,4419,4421,4424],{"className":4420},[606],[572,4422],{"className":4423,"style":611},[610],[572,4425,632],{"className":4426,"style":647},[615,616],[714,4428,4429,4430,4458],{},"Die Gesamtsumme nicht prüfen. Ergeben die vier inneren Felder nicht ",[572,4431,4433,4446],{"className":4432},[575],[572,4434,4436],{"className":4435},[579],[581,4437,4438],{"xmlns":583},[585,4439,4440,4444],{},[588,4441,4442],{},[967,4443,969],{},[595,4445,969],{"encoding":597},[572,4447,4449],{"className":4448,"ariaHidden":602},[601],[572,4450,4452,4455],{"className":4451},[606],[572,4453],{"className":4454,"style":981},[610],[572,4456,969],{"className":4457},[615]," (oder die Gesamtzahl), ist ein Wert falsch.",{"title":4460,"searchDepth":4461,"depth":4461,"links":4462},"",2,[4463,4464,4465],{"id":561,"depth":4461,"text":562},{"id":1441,"depth":4461,"text":1442},{"id":4100,"depth":4461,"text":4101},[4467,4470,4472,4474,4476,4478,4480,4483,4486,4489,4492,4495,4498,4501,4503,4505],{"lhs":4468,"rhs":4469},"(a + b) + (c + d)","(a + c) + (b + d)",{"lhs":4471,"rhs":1460},"150 + 30 + 20 + 200",{"lhs":4473,"rhs":1806},"150 + 30",{"lhs":4475,"rhs":1999},"150 + 20",{"lhs":4477,"rhs":1964},"20 + 200",{"lhs":4479,"rhs":2030},"30 + 200",{"lhs":4481,"rhs":4482},"150 \u002F 400","0.375",{"lhs":4484,"rhs":4485},"180 \u002F 400","0.45",{"lhs":4487,"rhs":4488},"round(150 \u002F 170, 3)","0.882",{"lhs":4490,"rhs":4491},"0.3 - 0.12","0.18",{"lhs":4493,"rhs":4494},"0.6 - 0.12","0.48",{"lhs":4496,"rhs":4497},"1 - 0.3","0.7",{"lhs":4499,"rhs":4500},"0.7 - 0.48","0.22",{"lhs":4502,"rhs":4500},"0.4 - 0.18",{"lhs":4504,"rhs":969},"0.12 + 0.18 + 0.48 + 0.22",{"lhs":4506,"rhs":4491},"0.3 * 0.6",null,"md","contingency-table","\\begin{array}{c|c|c|c} & B & \\overline{B} & \\\\ \\hline A & P(A \\cap B) & P(A \\cap \\overline{B}) & P(A) \\\\ \\hline \\overline{A} & P(\\overline{A} \\cap B) & P(\\overline{A} \\cap \\overline{B}) & P(\\overline{A}) \\\\ \\hline & P(B) & P(\\overline{B}) & 1 \\end{array}","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" 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style=\"margin-right:0.0502em;\">B\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.8033em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"overline-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\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:2.2367em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"arraycolsep\" style=\"width:0.5em;\">\u003C\u002Fspan>\u003Cspan class=\"vertical-separator\" style=\"height:4.9733em;border-right-width:0.04em;border-right-style:solid;margin:0 -0.02em;vertical-align:-2.2367em;\">\u003C\u002Fspan>\u003Cspan class=\"arraycolsep\" 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style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0502em;\">B\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":4537,"meaning":4538,"symbolHtml":4539},"\\overline{A},\\ \\overline{B}","die Gegenereignisse, „nicht A“ und „nicht B“","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmover accent=\"true\">\u003Cmi>A\u003C\u002Fmi>\u003Cmo stretchy=\"true\">‾\u003C\u002Fmo>\u003C\u002Fmover>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmtext> \u003C\u002Fmtext>\u003Cmover accent=\"true\">\u003Cmi>B\u003C\u002Fmi>\u003Cmo stretchy=\"true\">‾\u003C\u002Fmo>\u003C\u002Fmover>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\overline{A},\\ \\overline{B}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan 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