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Günstig sind ",[579,884,886,901],{"className":885},[586],[579,887,889],{"className":888},[590],[592,890,891],{"xmlns":594},[597,892,893,899],{},[600,894,895],{},[896,897,898],"mn",{},"2",[658,900,898],{"encoding":660},[579,902,904],{"className":903,"ariaHidden":632},[665],[579,905,907,911],{"className":906},[669],[579,908],{"className":909,"style":910},[673],"height:0.6444em;",[579,912,898],{"className":913},[678],", ",[579,916,918,932],{"className":917},[586],[579,919,921],{"className":920},[590],[592,922,923],{"xmlns":594},[597,924,925,930],{},[600,926,927],{},[896,928,929],{},"3",[658,931,929],{"encoding":660},[579,933,935],{"className":934,"ariaHidden":632},[665],[579,936,938,941],{"className":937},[669],[579,939],{"className":940,"style":910},[673],[579,942,929],{"className":943},[678]," und ",[579,946,948,962],{"className":947},[586],[579,949,951],{"className":950},[590],[592,952,953],{"xmlns":594},[597,954,955,960],{},[600,956,957],{},[896,958,959],{},"5",[658,961,959],{"encoding":660},[579,963,965],{"className":964,"ariaHidden":632},[665],[579,966,968,971],{"className":967},[669],[579,969],{"className":970,"style":910},[673],[579,972,959],{"className":973},[678],":",[579,976,978],{"className":977},[582],[579,979,981,1020],{"className":980},[586],[579,982,984],{"className":983},[590],[592,985,986],{"xmlns":594,"display":595},[597,987,988,1017],{},[600,989,990,992,994,997,999,1001,1008,1010],{},[603,991,605],{},[607,993,610],{"stretchy":609},[626,995,996],{},"Primzahl",[607,998,616],{"stretchy":609},[607,1000,619],{},[621,1002,1003,1005],{},[896,1004,929],{},[896,1006,1007],{},"6",[607,1009,619],{},[621,1011,1012,1015],{},[896,1013,1014],{},"1",[896,1016,898],{},[658,1018,1019],{"encoding":660},"P(\\text{Primzahl}) = \\frac{3}{6} = \\frac{1}{2}",[579,1021,1023,1053,1133],{"className":1022,"ariaHidden":632},[665],[579,1024,1026,1029,1032,1035,1041,1044,1047,1050],{"className":1025},[669],[579,1027],{"className":1028,"style":674},[673],[579,1030,605],{"className":1031,"style":680},[678,679],[579,1033,610],{"className":1034},[684],[579,1036,1038],{"className":1037},[678,749],[579,1039,996],{"className":1040},[678],[579,1042,616],{"className":1043},[691],[579,1045],{"className":1046,"style":696},[695],[579,1048,619],{"className":1049},[700],[579,1051],{"className":1052,"style":696},[695],[579,1054,1056,1060,1124,1127,1130],{"className":1055},[669],[579,1057],{"className":1058,"style":1059},[673],"height:2.0074em;vertical-align:-0.686em;",[579,1061,1063,1066,1121],{"className":1062},[678],[579,1064],{"className":1065},[684,717],[579,1067,1069],{"className":1068},[621],[579,1070,1072,1112],{"className":1071},[724,725],[579,1073,1075,1109],{"className":1074},[729],[579,1076,1079,1090,1098],{"className":1077,"style":1078},[733],"height:1.3214em;",[579,1080,1081,1084],{"style":737},[579,1082],{"className":1083,"style":742},[741],[579,1085,1087],{"className":1086},[678],[579,1088,1007],{"className":1089},[678],[579,1091,1092,1095],{"style":794},[579,1093],{"className":1094,"style":742},[741],[579,1096],{"className":1097,"style":802},[801],[579,1099,1100,1103],{"style":805},[579,1101],{"className":1102,"style":742},[741],[579,1104,1106],{"className":1105},[678],[579,1107,929],{"className":1108},[678],[579,1110,856],{"className":1111},[855],[579,1113,1115],{"className":1114},[729],[579,1116,1119],{"className":1117,"style":1118},[733],"height:0.686em;",[579,1120],{},[579,1122],{"className":1123},[691,717],[579,1125],{"className":1126,"style":696},[695],[579,1128,619],{"className":1129},[700],[579,1131],{"className":1132,"style":696},[695],[579,1134,1136,1139],{"className":1135},[669],[579,1137],{"className":1138,"style":1059},[673],[579,1140,1142,1145,1198],{"className":1141},[678],[579,1143],{"className":1144},[684,717],[579,1146,1148],{"className":1147},[621],[579,1149,1151,1190],{"className":1150},[724,725],[579,1152,1154,1187],{"className":1153},[729],[579,1155,1157,1168,1176],{"className":1156,"style":1078},[733],[579,1158,1159,1162],{"style":737},[579,1160],{"className":1161,"style":742},[741],[579,1163,1165],{"className":1164},[678],[579,1166,898],{"className":1167},[678],[579,1169,1170,1173],{"style":794},[579,1171],{"className":1172,"style":742},[741],[579,1174],{"className":1175,"style":802},[801],[579,1177,1178,1181],{"style":805},[579,1179],{"className":1180,"style":742},[741],[579,1182,1184],{"className":1183},[678],[579,1185,1014],{"className":1186},[678],[579,1188,856],{"className":1189},[855],[579,1191,1193],{"className":1192},[729],[579,1194,1196],{"className":1195,"style":1118},[733],[579,1197],{},[579,1199],{"className":1200},[691,717],[564,1202,1203,1204,1233,1234,1263],{},"Bei einer Tombola liegen ",[579,1205,1207,1221],{"className":1206},[586],[579,1208,1210],{"className":1209},[590],[592,1211,1212],{"xmlns":594},[597,1213,1214,1219],{},[600,1215,1216],{},[896,1217,1218],{},"50",[658,1220,1218],{"encoding":660},[579,1222,1224],{"className":1223,"ariaHidden":632},[665],[579,1225,1227,1230],{"className":1226},[669],[579,1228],{"className":1229,"style":910},[673],[579,1231,1218],{"className":1232},[678]," Lose in der Box, ",[579,1235,1237,1251],{"className":1236},[586],[579,1238,1240],{"className":1239},[590],[592,1241,1242],{"xmlns":594},[597,1243,1244,1249],{},[600,1245,1246],{},[896,1247,1248],{},"8",[658,1250,1248],{"encoding":660},[579,1252,1254],{"className":1253,"ariaHidden":632},[665],[579,1255,1257,1260],{"className":1256},[669],[579,1258],{"className":1259,"style":910},[673],[579,1261,1248],{"className":1262},[678]," davon gewinnen:",[579,1265,1267],{"className":1266},[582],[579,1268,1270,1316],{"className":1269},[586],[579,1271,1273],{"className":1272},[590],[592,1274,1275],{"xmlns":594,"display":595},[597,1276,1277,1313],{},[600,1278,1279,1281,1283,1286,1288,1290,1296,1298,1301,1303,1306,1309],{},[603,1280,605],{},[607,1282,610],{"stretchy":609},[626,1284,1285],{},"Gewinn",[607,1287,616],{"stretchy":609},[607,1289,619],{},[621,1291,1292,1294],{},[896,1293,1248],{},[896,1295,1218],{},[607,1297,619],{},[896,1299,1300],{},"0,16",[607,1302,619],{},[896,1304,1305],{},"16",[626,1307,1308],{}," ",[603,1310,1312],{"mathvariant":1311},"normal","%",[658,1314,1315],{"encoding":660},"P(\\text{Gewinn}) = \\frac{8}{50} = 0{,}16 = 16\\,\\%",[579,1317,1319,1349,1426,1457],{"className":1318,"ariaHidden":632},[665],[579,1320,1322,1325,1328,1331,1337,1340,1343,1346],{"className":1321},[669],[579,1323],{"className":1324,"style":674},[673],[579,1326,605],{"className":1327,"style":680},[678,679],[579,1329,610],{"className":1330},[684],[579,1332,1334],{"className":1333},[678,749],[579,1335,1285],{"className":1336},[678],[579,1338,616],{"className":1339},[691],[579,1341],{"className":1342,"style":696},[695],[579,1344,619],{"className":1345},[700],[579,1347],{"className":1348,"style":696},[695],[579,1350,1352,1355,1417,1420,1423],{"className":1351},[669],[579,1353],{"className":1354,"style":1059},[673],[579,1356,1358,1361,1414],{"className":1357},[678],[579,1359],{"className":1360},[684,717],[579,1362,1364],{"className":1363},[621],[579,1365,1367,1406],{"className":1366},[724,725],[579,1368,1370,1403],{"className":1369},[729],[579,1371,1373,1384,1392],{"className":1372,"style":1078},[733],[579,1374,1375,1378],{"style":737},[579,1376],{"className":1377,"style":742},[741],[579,1379,1381],{"className":1380},[678],[579,1382,1218],{"className":1383},[678],[579,1385,1386,1389],{"style":794},[579,1387],{"className":1388,"style":742},[741],[579,1390],{"className":1391,"style":802},[801],[579,1393,1394,1397],{"style":805},[579,1395],{"className":1396,"style":742},[741],[579,1398,1400],{"className":1399},[678],[579,1401,1248],{"className":1402},[678],[579,1404,856],{"className":1405},[855],[579,1407,1409],{"className":1408},[729],[579,1410,1412],{"className":1411,"style":1118},[733],[579,1413],{},[579,1415],{"className":1416},[691,717],[579,1418],{"className":1419,"style":696},[695],[579,1421,619],{"className":1422},[700],[579,1424],{"className":1425,"style":696},[695],[579,1427,1429,1433,1437,1445,1448,1451,1454],{"className":1428},[669],[579,1430],{"className":1431,"style":1432},[673],"height:0.8389em;vertical-align:-0.1944em;",[579,1434,1436],{"className":1435},[678],"0",[579,1438,1440],{"className":1439},[678],[579,1441,1444],{"className":1442},[1443],"mpunct",",",[579,1446,1305],{"className":1447},[678],[579,1449],{"className":1450,"style":696},[695],[579,1452,619],{"className":1453},[700],[579,1455],{"className":1456,"style":696},[695],[579,1458,1460,1464,1467,1471],{"className":1459},[669],[579,1461],{"className":1462,"style":1463},[673],"height:0.8056em;vertical-align:-0.0556em;",[579,1465,1305],{"className":1466},[678],[579,1468],{"className":1469,"style":1470},[695],"margin-right:0.1667em;",[579,1472,1312],{"className":1473},[678],[564,1475,1476,1477,1506,1507,1536,1537,974],{},"Zwei Würfel, gesucht ist die Augensumme ",[579,1478,1480,1494],{"className":1479},[586],[579,1481,1483],{"className":1482},[590],[592,1484,1485],{"xmlns":594},[597,1486,1487,1492],{},[600,1488,1489],{},[896,1490,1491],{},"7",[658,1493,1491],{"encoding":660},[579,1495,1497],{"className":1496,"ariaHidden":632},[665],[579,1498,1500,1503],{"className":1499},[669],[579,1501],{"className":1502,"style":910},[673],[579,1504,1491],{"className":1505},[678],". Man zählt die ",[579,1508,1510,1524],{"className":1509},[586],[579,1511,1513],{"className":1512},[590],[592,1514,1515],{"xmlns":594},[597,1516,1517,1522],{},[600,1518,1519],{},[896,1520,1521],{},"36",[658,1523,1521],{"encoding":660},[579,1525,1527],{"className":1526,"ariaHidden":632},[665],[579,1528,1530,1533],{"className":1529},[669],[579,1531],{"className":1532,"style":910},[673],[579,1534,1521],{"className":1535},[678]," gleich wahrscheinlichen Paare (erster Würfel, zweiter Würfel). Günstig sind ",[579,1538,1540,1623],{"className":1539},[586],[579,1541,1543],{"className":1542},[590],[592,1544,1545],{"xmlns":594},[597,1546,1547,1620],{},[600,1548,1549,1551,1553,1555,1557,1559,1561,1563,1565,1567,1569,1571,1573,1575,1577,1579,1582,1584,1586,1588,1590,1592,1594,1596,1598,1600,1602,1604,1606,1608,1610,1612,1614,1616,1618],{},[607,1550,610],{"stretchy":609},[896,1552,1014],{},[607,1554,1444],{"separator":632},[896,1556,1007],{},[607,1558,616],{"stretchy":609},[607,1560,1444],{"separator":632},[607,1562,610],{"stretchy":609},[896,1564,898],{},[607,1566,1444],{"separator":632},[896,1568,959],{},[607,1570,616],{"stretchy":609},[607,1572,1444],{"separator":632},[607,1574,610],{"stretchy":609},[896,1576,929],{},[607,1578,1444],{"separator":632},[896,1580,1581],{},"4",[607,1583,616],{"stretchy":609},[607,1585,1444],{"separator":632},[607,1587,610],{"stretchy":609},[896,1589,1581],{},[607,1591,1444],{"separator":632},[896,1593,929],{},[607,1595,616],{"stretchy":609},[607,1597,1444],{"separator":632},[607,1599,610],{"stretchy":609},[896,1601,959],{},[607,1603,1444],{"separator":632},[896,1605,898],{},[607,1607,616],{"stretchy":609},[607,1609,1444],{"separator":632},[607,1611,610],{"stretchy":609},[896,1613,1007],{},[607,1615,1444],{"separator":632},[896,1617,1014],{},[607,1619,616],{"stretchy":609},[658,1621,1622],{"encoding":660},"(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)",[579,1624,1626],{"className":1625,"ariaHidden":632},[665],[579,1627,1629,1632,1635,1638,1641,1644,1647,1650,1653,1656,1659,1662,1665,1668,1671,1674,1677,1680,1683,1686,1689,1692,1695,1698,1701,1704,1707,1710,1713,1716,1719,1722,1725,1728,1731,1734,1737,1740,1743,1746,1749,1752,1755,1758,1761,1764,1767],{"className":1628},[669],[579,1630],{"className":1631,"style":674},[673],[579,1633,610],{"className":1634},[684],[579,1636,1014],{"className":1637},[678],[579,1639,1444],{"className":1640},[1443],[579,1642],{"className":1643,"style":1470},[695],[579,1645,1007],{"className":1646},[678],[579,1648,616],{"className":1649},[691],[579,1651,1444],{"className":1652},[1443],[579,1654],{"className":1655,"style":1470},[695],[579,1657,610],{"className":1658},[684],[579,1660,898],{"className":1661},[678],[579,1663,1444],{"className":1664},[1443],[579,1666],{"className":1667,"style":1470},[695],[579,1669,959],{"className":1670},[678],[579,1672,616],{"className":1673},[691],[579,1675,1444],{"className":1676},[1443],[579,1678],{"className":1679,"style":1470},[695],[579,1681,610],{"className":1682},[684],[579,1684,929],{"className":1685},[678],[579,1687,1444],{"className":1688},[1443],[579,1690],{"className":1691,"style":1470},[695],[579,1693,1581],{"className":1694},[678],[579,1696,616],{"className":1697},[691],[579,1699,1444],{"className":1700},[1443],[579,1702],{"className":1703,"style":1470},[695],[579,1705,610],{"className":1706},[684],[579,1708,1581],{"className":1709},[678],[579,1711,1444],{"className":1712},[1443],[579,1714],{"className":1715,"style":1470},[695],[579,1717,929],{"className":1718},[678],[579,1720,616],{"className":1721},[691],[579,1723,1444],{"className":1724},[1443],[579,1726],{"className":1727,"style":1470},[695],[579,1729,610],{"className":1730},[684],[579,1732,959],{"className":1733},[678],[579,1735,1444],{"className":1736},[1443],[579,1738],{"className":1739,"style":1470},[695],[579,1741,898],{"className":1742},[678],[579,1744,616],{"className":1745},[691],[579,1747,1444],{"className":1748},[1443],[579,1750],{"className":1751,"style":1470},[695],[579,1753,610],{"className":1754},[684],[579,1756,1007],{"className":1757},[678],[579,1759,1444],{"className":1760},[1443],[579,1762],{"className":1763,"style":1470},[695],[579,1765,1014],{"className":1766},[678],[579,1768,616],{"className":1769},[691],[579,1771,1773],{"className":1772},[582],[579,1774,1776,1825],{"className":1775},[586],[579,1777,1779],{"className":1778},[590],[592,1780,1781],{"xmlns":594,"display":595},[597,1782,1783,1822],{},[600,1784,1785,1787,1789,1792,1794,1796,1798,1804,1806,1812,1815,1818,1820],{},[603,1786,605],{},[607,1788,610],{"stretchy":609},[626,1790,1791],{},"Summe ",[896,1793,1491],{},[607,1795,616],{"stretchy":609},[607,1797,619],{},[621,1799,1800,1802],{},[896,1801,1007],{},[896,1803,1521],{},[607,1805,619],{},[621,1807,1808,1810],{},[896,1809,1014],{},[896,1811,1007],{},[607,1813,1814],{},"≈",[896,1816,1817],{},"16,7",[626,1819,1308],{},[603,1821,1312],{"mathvariant":1311},[658,1823,1824],{"encoding":660},"P(\\text{Summe } 7) = \\frac{6}{36} = \\frac{1}{6} \\approx 16{,}7\\,\\%",[579,1826,1828,1861,1938,2015],{"className":1827,"ariaHidden":632},[665],[579,1829,1831,1834,1837,1840,1846,1849,1852,1855,1858],{"className":1830},[669],[579,1832],{"className":1833,"style":674},[673],[579,1835,605],{"className":1836,"style":680},[678,679],[579,1838,610],{"className":1839},[684],[579,1841,1843],{"className":1842},[678,749],[579,1844,1791],{"className":1845},[678],[579,1847,1491],{"className":1848},[678],[579,1850,616],{"className":1851},[691],[579,1853],{"className":1854,"style":696},[695],[579,1856,619],{"className":1857},[700],[579,1859],{"className":1860,"style":696},[695],[579,1862,1864,1867,1929,1932,1935],{"className":1863},[669],[579,1865],{"className":1866,"style":1059},[673],[579,1868,1870,1873,1926],{"className":1869},[678],[579,1871],{"className":1872},[684,717],[579,1874,1876],{"className":1875},[621],[579,1877,1879,1918],{"className":1878},[724,725],[579,1880,1882,1915],{"className":1881},[729],[579,1883,1885,1896,1904],{"className":1884,"style":1078},[733],[579,1886,1887,1890],{"style":737},[579,1888],{"className":1889,"style":742},[741],[579,1891,1893],{"className":1892},[678],[579,1894,1521],{"className":1895},[678],[579,1897,1898,1901],{"style":794},[579,1899],{"className":1900,"style":742},[741],[579,1902],{"className":1903,"style":802},[801],[579,1905,1906,1909],{"style":805},[579,1907],{"className":1908,"style":742},[741],[579,1910,1912],{"className":1911},[678],[579,1913,1007],{"className":1914},[678],[579,1916,856],{"className":1917},[855],[579,1919,1921],{"className":1920},[729],[579,1922,1924],{"className":1923,"style":1118},[733],[579,1925],{},[579,1927],{"className":1928},[691,717],[579,1930],{"className":1931,"style":696},[695],[579,1933,619],{"className":1934},[700],[579,1936],{"className":1937,"style":696},[695],[579,1939,1941,1944,2006,2009,2012],{"className":1940},[669],[579,1942],{"className":1943,"style":1059},[673],[579,1945,1947,1950,2003],{"className":1946},[678],[579,1948],{"className":1949},[684,717],[579,1951,1953],{"className":1952},[621],[579,1954,1956,1995],{"className":1955},[724,725],[579,1957,1959,1992],{"className":1958},[729],[579,1960,1962,1973,1981],{"className":1961,"style":1078},[733],[579,1963,1964,1967],{"style":737},[579,1965],{"className":1966,"style":742},[741],[579,1968,1970],{"className":1969},[678],[579,1971,1007],{"className":1972},[678],[579,1974,1975,1978],{"style":794},[579,1976],{"className":1977,"style":742},[741],[579,1979],{"className":1980,"style":802},[801],[579,1982,1983,1986],{"style":805},[579,1984],{"className":1985,"style":742},[741],[579,1987,1989],{"className":1988},[678],[579,1990,1014],{"className":1991},[678],[579,1993,856],{"className":1994},[855],[579,1996,1998],{"className":1997},[729],[579,1999,2001],{"className":2000,"style":1118},[733],[579,2002],{},[579,2004],{"className":2005},[691,717],[579,2007],{"className":2008,"style":696},[695],[579,2010,1814],{"className":2011},[700],[579,2013],{"className":2014,"style":696},[695],[579,2016,2018,2022,2025,2031,2034,2037],{"className":2017},[669],[579,2019],{"className":2020,"style":2021},[673],"height:0.9444em;vertical-align:-0.1944em;",[579,2023,1305],{"className":2024},[678],[579,2026,2028],{"className":2027},[678],[579,2029,1444],{"className":2030},[1443],[579,2032,1491],{"className":2033},[678],[579,2035],{"className":2036,"style":1470},[695],[579,2038,1312],{"className":2039},[678],[559,2041,2043],{"id":2042},"typische-fehler","Typische Fehler",[2045,2046,2047,2330,2564],"ul",{},[2048,2049,2050,2051,2079,2080,2109,2110,2139,2140,2192,2193,2300,2301,2329],"li",{},"Nicht gleich wahrscheinliche Ergebnisse zählen: Die Augensummen ",[579,2052,2054,2067],{"className":2053},[586],[579,2055,2057],{"className":2056},[590],[592,2058,2059],{"xmlns":594},[597,2060,2061,2065],{},[600,2062,2063],{},[896,2064,898],{},[658,2066,898],{"encoding":660},[579,2068,2070],{"className":2069,"ariaHidden":632},[665],[579,2071,2073,2076],{"className":2072},[669],[579,2074],{"className":2075,"style":910},[673],[579,2077,898],{"className":2078},[678]," bis ",[579,2081,2083,2097],{"className":2082},[586],[579,2084,2086],{"className":2085},[590],[592,2087,2088],{"xmlns":594},[597,2089,2090,2095],{},[600,2091,2092],{},[896,2093,2094],{},"12",[658,2096,2094],{"encoding":660},[579,2098,2100],{"className":2099,"ariaHidden":632},[665],[579,2101,2103,2106],{"className":2102},[669],[579,2104],{"className":2105,"style":910},[673],[579,2107,2094],{"className":2108},[678]," sind ",[579,2111,2113,2127],{"className":2112},[586],[579,2114,2116],{"className":2115},[590],[592,2117,2118],{"xmlns":594},[597,2119,2120,2125],{},[600,2121,2122],{},[896,2123,2124],{},"11",[658,2126,2124],{"encoding":660},[579,2128,2130],{"className":2129,"ariaHidden":632},[665],[579,2131,2133,2136],{"className":2132},[669],[579,2134],{"className":2135,"style":910},[673],[579,2137,2124],{"className":2138},[678]," Ergebnisse, aber sie sind nicht gleich wahrscheinlich. Deshalb ist ",[579,2141,2143,2165],{"className":2142},[586],[579,2144,2146],{"className":2145},[590],[592,2147,2148],{"xmlns":594},[597,2149,2150,2162],{},[600,2151,2152,2154,2156,2158,2160],{},[603,2153,605],{},[607,2155,610],{"stretchy":609},[626,2157,1791],{},[896,2159,1491],{},[607,2161,616],{"stretchy":609},[658,2163,2164],{"encoding":660},"P(\\text{Summe } 7)",[579,2166,2168],{"className":2167,"ariaHidden":632},[665],[579,2169,2171,2174,2177,2180,2186,2189],{"className":2170},[669],[579,2172],{"className":2173,"style":674},[673],[579,2175,605],{"className":2176,"style":680},[678,679],[579,2178,610],{"className":2179},[684],[579,2181,2183],{"className":2182},[678,749],[579,2184,1791],{"className":2185},[678],[579,2187,1491],{"className":2188},[678],[579,2190,616],{"className":2191},[691]," nicht ",[579,2194,2196,2214],{"className":2195},[586],[579,2197,2199],{"className":2198},[590],[592,2200,2201],{"xmlns":594},[597,2202,2203,2211],{},[600,2204,2205],{},[621,2206,2207,2209],{},[896,2208,1014],{},[896,2210,2124],{},[658,2212,2213],{"encoding":660},"\\frac{1}{11}",[579,2215,2217],{"className":2216,"ariaHidden":632},[665],[579,2218,2220,2224],{"className":2219},[669],[579,2221],{"className":2222,"style":2223},[673],"height:1.1901em;vertical-align:-0.345em;",[579,2225,2227,2230,2297],{"className":2226},[678],[579,2228],{"className":2229},[684,717],[579,2231,2233],{"className":2232},[621],[579,2234,2236,2288],{"className":2235},[724,725],[579,2237,2239,2285],{"className":2238},[729],[579,2240,2243,2262,2270],{"className":2241,"style":2242},[733],"height:0.8451em;",[579,2244,2246,2249],{"style":2245},"top:-2.655em;",[579,2247],{"className":2248,"style":742},[741],[579,2250,2256],{"className":2251},[2252,2253,2254,2255],"sizing","reset-size6","size3","mtight",[579,2257,2259],{"className":2258},[678,2255],[579,2260,2124],{"className":2261},[678,2255],[579,2263,2264,2267],{"style":794},[579,2265],{"className":2266,"style":742},[741],[579,2268],{"className":2269,"style":802},[801],[579,2271,2273,2276],{"style":2272},"top:-3.394em;",[579,2274],{"className":2275,"style":742},[741],[579,2277,2279],{"className":2278},[2252,2253,2254,2255],[579,2280,2282],{"className":2281},[678,2255],[579,2283,1014],{"className":2284},[678,2255],[579,2286,856],{"className":2287},[855],[579,2289,2291],{"className":2290},[729],[579,2292,2295],{"className":2293,"style":2294},[733],"height:0.345em;",[579,2296],{},[579,2298],{"className":2299},[691,717],". Richtig ist, die ",[579,2302,2304,2317],{"className":2303},[586],[579,2305,2307],{"className":2306},[590],[592,2308,2309],{"xmlns":594},[597,2310,2311,2315],{},[600,2312,2313],{},[896,2314,1521],{},[658,2316,1521],{"encoding":660},[579,2318,2320],{"className":2319,"ariaHidden":632},[665],[579,2321,2323,2326],{"className":2322},[669],[579,2324],{"className":2325,"style":910},[673],[579,2327,1521],{"className":2328},[678]," Paare zu zählen.",[2048,2331,2332,2333,2563],{},"Bei zwei Münzwürfen „0, 1 oder 2-mal Kopf“ als drei gleich wahrscheinliche Fälle ansehen. Richtig: Es gibt die vier Fälle KK, KZ, ZK, ZZ, also ",[579,2334,2336,2373],{"className":2335},[586],[579,2337,2339],{"className":2338},[590],[592,2340,2341],{"xmlns":594},[597,2342,2343,2370],{},[600,2344,2345,2347,2349,2352,2354,2356,2362,2364],{},[603,2346,605],{},[607,2348,610],{"stretchy":609},[626,2350,2351],{},"genau einmal Kopf",[607,2353,616],{"stretchy":609},[607,2355,619],{},[621,2357,2358,2360],{},[896,2359,898],{},[896,2361,1581],{},[607,2363,619],{},[621,2365,2366,2368],{},[896,2367,1014],{},[896,2369,898],{},[658,2371,2372],{"encoding":660},"P(\\text{genau einmal Kopf}) = \\frac{2}{4} = \\frac{1}{2}",[579,2374,2376,2406,2489],{"className":2375,"ariaHidden":632},[665],[579,2377,2379,2382,2385,2388,2394,2397,2400,2403],{"className":2378},[669],[579,2380],{"className":2381,"style":674},[673],[579,2383,605],{"className":2384,"style":680},[678,679],[579,2386,610],{"className":2387},[684],[579,2389,2391],{"className":2390},[678,749],[579,2392,2351],{"className":2393},[678],[579,2395,616],{"className":2396},[691],[579,2398],{"className":2399,"style":696},[695],[579,2401,619],{"className":2402},[700],[579,2404],{"className":2405,"style":696},[695],[579,2407,2409,2412,2480,2483,2486],{"className":2408},[669],[579,2410],{"className":2411,"style":2223},[673],[579,2413,2415,2418,2477],{"className":2414},[678],[579,2416],{"className":2417},[684,717],[579,2419,2421],{"className":2420},[621],[579,2422,2424,2469],{"className":2423},[724,725],[579,2425,2427,2466],{"className":2426},[729],[579,2428,2430,2444,2452],{"className":2429,"style":2242},[733],[579,2431,2432,2435],{"style":2245},[579,2433],{"className":2434,"style":742},[741],[579,2436,2438],{"className":2437},[2252,2253,2254,2255],[579,2439,2441],{"className":2440},[678,2255],[579,2442,1581],{"className":2443},[678,2255],[579,2445,2446,2449],{"style":794},[579,2447],{"className":2448,"style":742},[741],[579,2450],{"className":2451,"style":802},[801],[579,2453,2454,2457],{"style":2272},[579,2455],{"className":2456,"style":742},[741],[579,2458,2460],{"className":2459},[2252,2253,2254,2255],[579,2461,2463],{"className":2462},[678,2255],[579,2464,898],{"className":2465},[678,2255],[579,2467,856],{"className":2468},[855],[579,2470,2472],{"className":2471},[729],[579,2473,2475],{"className":2474,"style":2294},[733],[579,2476],{},[579,2478],{"className":2479},[691,717],[579,2481],{"className":2482,"style":696},[695],[579,2484,619],{"className":2485},[700],[579,2487],{"className":2488,"style":696},[695],[579,2490,2492,2495],{"className":2491},[669],[579,2493],{"className":2494,"style":2223},[673],[579,2496,2498,2501,2560],{"className":2497},[678],[579,2499],{"className":2500},[684,717],[579,2502,2504],{"className":2503},[621],[579,2505,2507,2552],{"className":2506},[724,725],[579,2508,2510,2549],{"className":2509},[729],[579,2511,2513,2527,2535],{"className":2512,"style":2242},[733],[579,2514,2515,2518],{"style":2245},[579,2516],{"className":2517,"style":742},[741],[579,2519,2521],{"className":2520},[2252,2253,2254,2255],[579,2522,2524],{"className":2523},[678,2255],[579,2525,898],{"className":2526},[678,2255],[579,2528,2529,2532],{"style":794},[579,2530],{"className":2531,"style":742},[741],[579,2533],{"className":2534,"style":802},[801],[579,2536,2537,2540],{"style":2272},[579,2538],{"className":2539,"style":742},[741],[579,2541,2543],{"className":2542},[2252,2253,2254,2255],[579,2544,2546],{"className":2545},[678,2255],[579,2547,1014],{"className":2548},[678,2255],[579,2550,856],{"className":2551},[855],[579,2553,2555],{"className":2554},[729],[579,2556,2558],{"className":2557,"style":2294},[733],[579,2559],{},[579,2561],{"className":2562},[691,717],".",[2048,2565,2566],{},"Die Laplace-Formel auf echte Daten anwenden, etwa auf einen gezinkten Würfel. Dann braucht man relative Häufigkeiten aus vielen Versuchen.",{"title":2568,"searchDepth":2569,"depth":2569,"links":2570},"",2,[2571,2572,2573],{"id":561,"depth":2569,"text":562},{"id":878,"depth":2569,"text":879},{"id":2042,"depth":2569,"text":2043},[2575,2578,2581,2584,2587,2589],{"lhs":2576,"rhs":2577},"3\u002F6","1\u002F2",{"lhs":2579,"rhs":2580},"8\u002F50","0.16",{"lhs":2582,"rhs":2583},"6\u002F36","1\u002F6",{"lhs":2585,"rhs":2586},"round(6\u002F36 * 100, 1)","16.7",{"lhs":2588,"rhs":2577},"2\u002F4",{"lhs":2590,"rhs":2577},"1\u002F2 * 1\u002F2 + 1\u002F2 * 1\u002F2","\\Omega \\text{ endlich},\\ \\text{alle Ergebnisse gleich wahrscheinlich}","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi mathvariant=\"normal\">Ω\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\Omega\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">Ω\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan style=\"white-space: nowrap\">\u003Cspan class=\"katex\">endlich\u003C\u002Fspan>\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">,\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.3em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">alle Ergebnisse gleich wahrscheinlich\u003C\u002Fspan>",null,"md","laplace-probability","P(A) = \\frac{|A|}{|\\Omega|}","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmi>P\u003C\u002Fmi>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmi>A\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmfrac>\u003Cmrow>\u003Cmi mathvariant=\"normal\">∣\u003C\u002Fmi>\u003Cmi>A\u003C\u002Fmi>\u003Cmi mathvariant=\"normal\">∣\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cmrow>\u003Cmi mathvariant=\"normal\">∣\u003C\u002Fmi>\u003Cmi mathvariant=\"normal\">Ω\u003C\u002Fmi>\u003Cmi mathvariant=\"normal\">∣\u003C\u002Fmi>\u003C\u002Fmrow>\u003C\u002Fmfrac>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">P(A) = \\frac{|A|}{|\\Omega|}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height: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: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\">∣Ω∣\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\">∣\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"mord\">∣\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>","middle",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Fstochastics\u002Flaplace-wahrscheinlichkeit",[],[2604,2605,2606],"complement-probability","path-multiplication-rule","factorial-permutations",{"title":548,"description":2568},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Flaplace-wahrscheinlichkeit","Sind alle Ergebnisse gleich wahrscheinlich, ist P(A) die Zahl günstiger durch die Zahl möglicher Ergebnisse.",[2611,2612,2613,2614],"wahrscheinlichkeit","laplace-experiment","zufallsexperiment","günstige 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xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi mathvariant=\"normal\">∣\u003C\u002Fmi>\u003Cmi>A\u003C\u002Fmi>\u003Cmi mathvariant=\"normal\">∣\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:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">∣\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">A\u003C\u002Fspan>\u003Cspan class=\"mord\">∣\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":2628,"meaning":2629,"symbolHtml":2630},"\\Omega","Ergebnismenge, alle möglichen Ergebnisse des Experiments","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath 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