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",[573,1066,1068,1092],{"className":1067},[576],[573,1069,1071],{"className":1070},[580],[582,1072,1073],{"xmlns":584},[586,1074,1075,1089],{},[589,1076,1077,1079,1087],{},[837,1078,905],{"fence":603},[1080,1081,1083,1085],"mfrac",{"linethickness":1082},"0px",[592,1084,594],{},[592,1086,804],{},[837,1088,918],{"fence":603},[596,1090,1091],{"encoding":598},"\\binom{n}{k}",[573,1093,1095],{"className":1094,"ariaHidden":603},[602],[573,1096,1098,1102],{"className":1097},[607],[573,1099],{"className":1100,"style":1101},[611],"height:1.2em;vertical-align:-0.35em;",[573,1103,1105,1115,1173],{"className":1104},[616],[573,1106,1110],{"className":1107,"style":1109},[1000,1108],"delimcenter","top:0em;",[573,1111,905],{"className":1112},[1113,1114],"delimsizing","size1",[573,1116,1118],{"className":1117},[1080],[573,1119,1122,1164],{"className":1120},[953,1121],"vlist-t2",[573,1123,1125,1159],{"className":1124},[957],[573,1126,1129,1144],{"className":1127,"style":1128},[961],"height:0.7454em;",[573,1130,1132,1135],{"style":1131},"top:-2.355em;",[573,1133],{"className":1134,"style":970},[969],[573,1136,1138],{"className":1137},[974,975,976,977],[573,1139,1141],{"className":1140},[616,977],[573,1142,804],{"className":1143,"style":820},[616,617,977],[573,1145,1147,1150],{"style":1146},"top:-3.144em;",[573,1148],{"className":1149,"style":970},[969],[573,1151,1153],{"className":1152},[974,975,976,977],[573,1154,1156],{"className":1155},[616,977],[573,1157,594],{"className":1158},[616,617,977],[573,1160,1163],{"className":1161},[1162],"vlist-s","​",[573,1165,1167],{"className":1166},[957],[573,1168,1171],{"className":1169,"style":1170},[961],"height:0.345em;",[573,1172],{},[573,1174,1176],{"className":1175,"style":1109},[1026,1108],[573,1177,918],{"className":1178},[1113,1114]," solche Pfade. Nach der Pfadadditionsregel werden sie addiert.",[565,1181,1182,1183,1186,1187,1190,1191,1219],{},"Für „höchstens“ und „mindestens“ addiert man mehrere Werte (",[569,1184,1185],{},"kumulierte"," Wahrscheinlichkeit) oder nutzt die Gegenwahrscheinlichkeit. Ziehen ",[569,1188,1189],{},"ohne"," Zurücklegen ist keine Bernoulli-Kette, weil sich ",[573,1192,1194,1207],{"className":1193},[576],[573,1195,1197],{"className":1196},[580],[582,1198,1199],{"xmlns":584},[586,1200,1201,1205],{},[589,1202,1203],{},[592,1204,565],{},[596,1206,565],{"encoding":598},[573,1208,1210],{"className":1209,"ariaHidden":603},[602],[573,1211,1213,1216],{"className":1212},[607],[573,1214],{"className":1215,"style":681},[611],[573,1217,565],{"className":1218},[616,617]," von Zug zu Zug ändert.",[565,1221,1222,1223,651,1279,1330,1331,1413],{},"Für ",[573,1224,1226,1246],{"className":1225},[576],[573,1227,1229],{"className":1228},[580],[582,1230,1231],{"xmlns":584},[586,1232,1233,1243],{},[589,1234,1235,1237,1240],{},[592,1236,565],{},[837,1238,1239],{},"=",[907,1241,1242],{},"0",[596,1244,1245],{"encoding":598},"p = 0",[573,1247,1249,1269],{"className":1248,"ariaHidden":603},[602],[573,1250,1252,1255,1258,1262,1266],{"className":1251},[607],[573,1253],{"className":1254,"style":681},[611],[573,1256,565],{"className":1257},[616,617],[573,1259],{"className":1260,"style":1261},[861],"margin-right:0.2778em;",[573,1263,1239],{"className":1264},[1265],"mrel",[573,1267],{"className":1268,"style":1261},[861],[573,1270,1272,1276],{"className":1271},[607],[573,1273],{"className":1274,"style":1275},[611],"height:0.6444em;",[573,1277,1242],{"className":1278},[616],[573,1280,1282,1300],{"className":1281},[576],[573,1283,1285],{"className":1284},[580],[582,1286,1287],{"xmlns":584},[586,1288,1289,1297],{},[589,1290,1291,1293,1295],{},[592,1292,565],{},[837,1294,1239],{},[907,1296,909],{},[596,1298,1299],{"encoding":598},"p = 1",[573,1301,1303,1321],{"className":1302,"ariaHidden":603},[602],[573,1304,1306,1309,1312,1315,1318],{"className":1305},[607],[573,1307],{"className":1308,"style":681},[611],[573,1310,565],{"className":1311},[616,617],[573,1313],{"className":1314,"style":1261},[861],[573,1316,1239],{"className":1317},[1265],[573,1319],{"className":1320,"style":1261},[861],[573,1322,1324,1327],{"className":1323},[607],[573,1325],{"className":1326,"style":1275},[611],[573,1328,909],{"className":1329},[616]," wird ",[573,1332,1334,1356],{"className":1333},[576],[573,1335,1337],{"className":1336},[580],[582,1338,1339],{"xmlns":584},[586,1340,1341,1353],{},[589,1342,1343,1349,1351],{},[893,1344,1345,1347],{},[907,1346,1242],{},[907,1348,1242],{},[837,1350,1239],{},[907,1352,909],{},[596,1354,1355],{"encoding":598},"0^0 = 1",[573,1357,1359,1404],{"className":1358,"ariaHidden":603},[602],[573,1360,1362,1366,1395,1398,1401],{"className":1361},[607],[573,1363],{"className":1364,"style":1365},[611],"height:0.8141em;",[573,1367,1369,1372],{"className":1368},[616],[573,1370,1242],{"className":1371},[616],[573,1373,1375],{"className":1374},[949],[573,1376,1378],{"className":1377},[953],[573,1379,1381],{"className":1380},[957],[573,1382,1384],{"className":1383,"style":1365},[961],[573,1385,1386,1389],{"style":965},[573,1387],{"className":1388,"style":970},[969],[573,1390,1392],{"className":1391},[974,975,976,977],[573,1393,1242],{"className":1394},[616,977],[573,1396],{"className":1397,"style":1261},[861],[573,1399,1239],{"className":1400},[1265],[573,1402],{"className":1403,"style":1261},[861],[573,1405,1407,1410],{"className":1406},[607],[573,1408],{"className":1409,"style":1275},[611],[573,1411,909],{"className":1412},[616]," gesetzt.",[560,1415,1417],{"id":1416},"beispiele","Beispiele",[565,1419,1420,1421,1450,1451,1502,1503,1568,1569,1597],{},"Eine faire Münze wird ",[573,1422,1424,1438],{"className":1423},[576],[573,1425,1427],{"className":1426},[580],[582,1428,1429],{"xmlns":584},[586,1430,1431,1436],{},[589,1432,1433],{},[907,1434,1435],{},"10",[596,1437,1435],{"encoding":598},[573,1439,1441],{"className":1440,"ariaHidden":603},[602],[573,1442,1444,1447],{"className":1443},[607],[573,1445],{"className":1446,"style":1275},[611],[573,1448,1435],{"className":1449},[616],"-mal geworfen, Treffer ist „Kopf“, also ",[573,1452,1454,1472],{"className":1453},[576],[573,1455,1457],{"className":1456},[580],[582,1458,1459],{"xmlns":584},[586,1460,1461,1469],{},[589,1462,1463,1465,1467],{},[592,1464,594],{},[837,1466,1239],{},[907,1468,1435],{},[596,1470,1471],{"encoding":598},"n = 10",[573,1473,1475,1493],{"className":1474,"ariaHidden":603},[602],[573,1476,1478,1481,1484,1487,1490],{"className":1477},[607],[573,1479],{"className":1480,"style":612},[611],[573,1482,594],{"className":1483},[616,617],[573,1485],{"className":1486,"style":1261},[861],[573,1488,1239],{"className":1489},[1265],[573,1491],{"className":1492,"style":1261},[861],[573,1494,1496,1499],{"className":1495},[607],[573,1497],{"className":1498,"style":1275},[611],[573,1500,1435],{"className":1501},[616],", ",[573,1504,1506,1525],{"className":1505},[576],[573,1507,1509],{"className":1508},[580],[582,1510,1511],{"xmlns":584},[586,1512,1513,1522],{},[589,1514,1515,1517,1519],{},[592,1516,565],{},[837,1518,1239],{},[907,1520,1521],{},"0,5",[596,1523,1524],{"encoding":598},"p = 0{,}5",[573,1526,1528,1546],{"className":1527,"ariaHidden":603},[602],[573,1529,1531,1534,1537,1540,1543],{"className":1530},[607],[573,1532],{"className":1533,"style":681},[611],[573,1535,565],{"className":1536},[616,617],[573,1538],{"className":1539,"style":1261},[861],[573,1541,1239],{"className":1542},[1265],[573,1544],{"className":1545,"style":1261},[861],[573,1547,1549,1553,1556,1564],{"className":1548},[607],[573,1550],{"className":1551,"style":1552},[611],"height:0.8389em;vertical-align:-0.1944em;",[573,1554,1242],{"className":1555},[616],[573,1557,1559],{"className":1558},[616],[573,1560,1563],{"className":1561},[1562],"mpunct",",",[573,1565,1567],{"className":1566},[616],"5",". Genau ",[573,1570,1572,1585],{"className":1571},[576],[573,1573,1575],{"className":1574},[580],[582,1576,1577],{"xmlns":584},[586,1578,1579,1583],{},[589,1580,1581],{},[907,1582,1567],{},[596,1584,1567],{"encoding":598},[573,1586,1588],{"className":1587,"ariaHidden":603},[602],[573,1589,1591,1594],{"className":1590},[607],[573,1592],{"className":1593,"style":1275},[611],[573,1595,1567],{"className":1596},[616],"-mal Kopf:",[573,1599,1602],{"className":1600},[1601],"katex-display",[573,1603,1605,1690],{"className":1604},[576],[573,1606,1608],{"className":1607},[580],[582,1609,1611],{"xmlns":584,"display":1610},"block",[586,1612,1613,1687],{},[589,1614,1615,1618,1620,1622,1624,1626,1628,1630,1642,1644,1650,1652,1658,1660,1668,1671,1674,1676,1679,1683],{},[592,1616,1617],{},"P",[837,1619,905],{"stretchy":904},[592,1621,700],{},[837,1623,1239],{},[907,1625,1567],{},[837,1627,918],{"stretchy":904},[837,1629,1239],{},[589,1631,1632,1634,1640],{},[837,1633,905],{"fence":603},[1080,1635,1636,1638],{"linethickness":1082},[907,1637,1435],{},[907,1639,1567],{},[837,1641,918],{"fence":603},[837,1643,901],{},[893,1645,1646,1648],{},[907,1647,1521],{},[907,1649,1567],{},[837,1651,901],{},[893,1653,1654,1656],{},[907,1655,1521],{},[907,1657,1567],{},[837,1659,1239],{},[1080,1661,1662,1665],{},[907,1663,1664],{},"252",[907,1666,1667],{},"1024",[837,1669,1670],{},"≈",[907,1672,1673],{},"0,2461",[837,1675,1239],{},[907,1677,1678],{},"24,6",[1680,1681,1682],"mtext",{}," ",[592,1684,1686],{"mathvariant":1685},"normal","%",[596,1688,1689],{"encoding":598},"P(X = 5) = \\binom{10}{5} \\cdot 0{,}5^5 \\cdot 0{,}5^5 = \\frac{252}{1024} \\approx 0{,}2461 = 24{,}6\\,\\%",[573,1691,1693,1718,1739,1820,1876,1929,2011,2039],{"className":1692,"ariaHidden":603},[602],[573,1694,1696,1699,1703,1706,1709,1712,1715],{"className":1695},[607],[573,1697],{"className":1698,"style":996},[611],[573,1700,1617],{"className":1701,"style":1702},[616,617],"margin-right:0.1389em;",[573,1704,905],{"className":1705},[1000],[573,1707,700],{"className":1708,"style":716},[616,617],[573,1710],{"className":1711,"style":1261},[861],[573,1713,1239],{"className":1714},[1265],[573,1716],{"className":1717,"style":1261},[861],[573,1719,1721,1724,1727,1730,1733,1736],{"className":1720},[607],[573,1722],{"className":1723,"style":996},[611],[573,1725,1567],{"className":1726},[616],[573,1728,918],{"className":1729},[1026],[573,1731],{"className":1732,"style":1261},[861],[573,1734,1239],{"className":1735},[1265],[573,1737],{"className":1738,"style":1261},[861],[573,1740,1742,1746,1811,1814,1817],{"className":1741},[607],[573,1743],{"className":1744,"style":1745},[611],"height:2.4em;vertical-align:-0.95em;",[573,1747,1749,1755,1805],{"className":1748},[616],[573,1750,1752],{"className":1751,"style":1109},[1000,1108],[573,1753,905],{"className":1754},[1113,976],[573,1756,1758],{"className":1757},[1080],[573,1759,1761,1796],{"className":1760},[953,1121],[573,1762,1764,1793],{"className":1763},[957],[573,1765,1768,1781],{"className":1766,"style":1767},[961],"height:1.3214em;",[573,1769,1771,1775],{"style":1770},"top:-2.314em;",[573,1772],{"className":1773,"style":1774},[969],"height:3em;",[573,1776,1778],{"className":1777},[616],[573,1779,1567],{"className":1780},[616],[573,1782,1784,1787],{"style":1783},"top:-3.677em;",[573,1785],{"className":1786,"style":1774},[969],[573,1788,1790],{"className":1789},[616],[573,1791,1435],{"className":1792},[616],[573,1794,1163],{"className":1795},[1162],[573,1797,1799],{"className":1798},[957],[573,1800,1803],{"className":1801,"style":1802},[961],"height:0.686em;",[573,1804],{},[573,1806,1808],{"className":1807,"style":1109},[1026,1108],[573,1809,918],{"className":1810},[1113,976],[573,1812],{"className":1813,"style":862},[861],[573,1815,901],{"className":1816},[866],[573,1818],{"className":1819,"style":862},[861],[573,1821,1823,1827,1830,1836,1867,1870,1873],{"className":1822},[607],[573,1824],{"className":1825,"style":1826},[611],"height:1.0585em;vertical-align:-0.1944em;",[573,1828,1242],{"className":1829},[616],[573,1831,1833],{"className":1832},[616],[573,1834,1563],{"className":1835},[1562],[573,1837,1839,1842],{"className":1838},[616],[573,1840,1567],{"className":1841},[616],[573,1843,1845],{"className":1844},[949],[573,1846,1848],{"className":1847},[953],[573,1849,1851],{"className":1850},[957],[573,1852,1855],{"className":1853,"style":1854},[961],"height:0.8641em;",[573,1856,1858,1861],{"style":1857},"top:-3.113em;margin-right:0.05em;",[573,1859],{"className":1860,"style":970},[969],[573,1862,1864],{"className":1863},[974,975,976,977],[573,1865,1567],{"className":1866},[616,977],[573,1868],{"className":1869,"style":862},[861],[573,1871,901],{"className":1872},[866],[573,1874],{"className":1875,"style":862},[861],[573,1877,1879,1882,1885,1891,1920,1923,1926],{"className":1878},[607],[573,1880],{"className":1881,"style":1826},[611],[573,1883,1242],{"className":1884},[616],[573,1886,1888],{"className":1887},[616],[573,1889,1563],{"className":1890},[1562],[573,1892,1894,1897],{"className":1893},[616],[573,1895,1567],{"className":1896},[616],[573,1898,1900],{"className":1899},[949],[573,1901,1903],{"className":1902},[953],[573,1904,1906],{"className":1905},[957],[573,1907,1909],{"className":1908,"style":1854},[961],[573,1910,1911,1914],{"style":1857},[573,1912],{"className":1913,"style":970},[969],[573,1915,1917],{"className":1916},[974,975,976,977],[573,1918,1567],{"className":1919},[616,977],[573,1921],{"className":1922,"style":1261},[861],[573,1924,1239],{"className":1925},[1265],[573,1927],{"className":1928,"style":1261},[861],[573,1930,1932,1936,2002,2005,2008],{"className":1931},[607],[573,1933],{"className":1934,"style":1935},[611],"height:2.0074em;vertical-align:-0.686em;",[573,1937,1939,1943,1999],{"className":1938},[616],[573,1940],{"className":1941},[1000,1942],"nulldelimiter",[573,1944,1946],{"className":1945},[1080],[573,1947,1949,1991],{"className":1948},[953,1121],[573,1950,1952,1988],{"className":1951},[957],[573,1953,1955,1966,1977],{"className":1954,"style":1767},[961],[573,1956,1957,1960],{"style":1770},[573,1958],{"className":1959,"style":1774},[969],[573,1961,1963],{"className":1962},[616],[573,1964,1667],{"className":1965},[616],[573,1967,1969,1972],{"style":1968},"top:-3.23em;",[573,1970],{"className":1971,"style":1774},[969],[573,1973],{"className":1974,"style":1976},[1975],"frac-line","border-bottom-width:0.04em;",[573,1978,1979,1982],{"style":1783},[573,1980],{"className":1981,"style":1774},[969],[573,1983,1985],{"className":1984},[616],[573,1986,1664],{"className":1987},[616],[573,1989,1163],{"className":1990},[1162],[573,1992,1994],{"className":1993},[957],[573,1995,1997],{"className":1996,"style":1802},[961],[573,1998],{},[573,2000],{"className":2001},[1026,1942],[573,2003],{"className":2004,"style":1261},[861],[573,2006,1670],{"className":2007},[1265],[573,2009],{"className":2010,"style":1261},[861],[573,2012,2014,2017,2020,2026,2030,2033,2036],{"className":2013},[607],[573,2015],{"className":2016,"style":1552},[611],[573,2018,1242],{"className":2019},[616],[573,2021,2023],{"className":2022},[616],[573,2024,1563],{"className":2025},[1562],[573,2027,2029],{"className":2028},[616],"2461",[573,2031],{"className":2032,"style":1261},[861],[573,2034,1239],{"className":2035},[1265],[573,2037],{"className":2038,"style":1261},[861],[573,2040,2042,2046,2050,2056,2060,2064],{"className":2041},[607],[573,2043],{"className":2044,"style":2045},[611],"height:0.9444em;vertical-align:-0.1944em;",[573,2047,2049],{"className":2048},[616],"24",[573,2051,2053],{"className":2052},[616],[573,2054,1563],{"className":2055},[1562],[573,2057,2059],{"className":2058},[616],"6",[573,2061],{"className":2062,"style":2063},[861],"margin-right:0.1667em;",[573,2065,1686],{"className":2066},[616],[565,2068,2069,2070,2099,2100,2129,2130,750,2181,1568,2243,2272],{},"Ein Test hat ",[573,2071,2073,2087],{"className":2072},[576],[573,2074,2076],{"className":2075},[580],[582,2077,2078],{"xmlns":584},[586,2079,2080,2085],{},[589,2081,2082],{},[907,2083,2084],{},"8",[596,2086,2084],{"encoding":598},[573,2088,2090],{"className":2089,"ariaHidden":603},[602],[573,2091,2093,2096],{"className":2092},[607],[573,2094],{"className":2095,"style":1275},[611],[573,2097,2084],{"className":2098},[616]," Fragen mit je ",[573,2101,2103,2117],{"className":2102},[576],[573,2104,2106],{"className":2105},[580],[582,2107,2108],{"xmlns":584},[586,2109,2110,2115],{},[589,2111,2112],{},[907,2113,2114],{},"4",[596,2116,2114],{"encoding":598},[573,2118,2120],{"className":2119,"ariaHidden":603},[602],[573,2121,2123,2126],{"className":2122},[607],[573,2124],{"className":2125,"style":1275},[611],[573,2127,2114],{"className":2128},[616]," Antworten, von denen genau eine richtig ist. Wer nur rät, hat ",[573,2131,2133,2151],{"className":2132},[576],[573,2134,2136],{"className":2135},[580],[582,2137,2138],{"xmlns":584},[586,2139,2140,2148],{},[589,2141,2142,2144,2146],{},[592,2143,594],{},[837,2145,1239],{},[907,2147,2084],{},[596,2149,2150],{"encoding":598},"n = 8",[573,2152,2154,2172],{"className":2153,"ariaHidden":603},[602],[573,2155,2157,2160,2163,2166,2169],{"className":2156},[607],[573,2158],{"className":2159,"style":612},[611],[573,2161,594],{"className":2162},[616,617],[573,2164],{"className":2165,"style":1261},[861],[573,2167,1239],{"className":2168},[1265],[573,2170],{"className":2171,"style":1261},[861],[573,2173,2175,2178],{"className":2174},[607],[573,2176],{"className":2177,"style":1275},[611],[573,2179,2084],{"className":2180},[616],[573,2182,2184,2203],{"className":2183},[576],[573,2185,2187],{"className":2186},[580],[582,2188,2189],{"xmlns":584},[586,2190,2191,2200],{},[589,2192,2193,2195,2197],{},[592,2194,565],{},[837,2196,1239],{},[907,2198,2199],{},"0,25",[596,2201,2202],{"encoding":598},"p = 0{,}25",[573,2204,2206,2224],{"className":2205,"ariaHidden":603},[602],[573,2207,2209,2212,2215,2218,2221],{"className":2208},[607],[573,2210],{"className":2211,"style":681},[611],[573,2213,565],{"className":2214},[616,617],[573,2216],{"className":2217,"style":1261},[861],[573,2219,1239],{"className":2220},[1265],[573,2222],{"className":2223,"style":1261},[861],[573,2225,2227,2230,2233,2239],{"className":2226},[607],[573,2228],{"className":2229,"style":1552},[611],[573,2231,1242],{"className":2232},[616],[573,2234,2236],{"className":2235},[616],[573,2237,1563],{"className":2238},[1562],[573,2240,2242],{"className":2241},[616],"25",[573,2244,2246,2260],{"className":2245},[576],[573,2247,2249],{"className":2248},[580],[582,2250,2251],{"xmlns":584},[586,2252,2253,2258],{},[589,2254,2255],{},[907,2256,2257],{},"3",[596,2259,2257],{"encoding":598},[573,2261,2263],{"className":2262,"ariaHidden":603},[602],[573,2264,2266,2269],{"className":2265},[607],[573,2267],{"className":2268,"style":1275},[611],[573,2270,2257],{"className":2271},[616]," richtige Antworten:",[573,2274,2276],{"className":2275},[1601],[573,2277,2279,2360],{"className":2278},[576],[573,2280,2282],{"className":2281},[580],[582,2283,2284],{"xmlns":584,"display":1610},[586,2285,2286,2357],{},[589,2287,2288,2290,2292,2294,2296,2298,2300,2302,2314,2316,2322,2324,2331,2333,2336,2338,2344,2346,2352,2354],{},[592,2289,1617],{},[837,2291,905],{"stretchy":904},[592,2293,700],{},[837,2295,1239],{},[907,2297,2257],{},[837,2299,918],{"stretchy":904},[837,2301,1239],{},[589,2303,2304,2306,2312],{},[837,2305,905],{"fence":603},[1080,2307,2308,2310],{"linethickness":1082},[907,2309,2084],{},[907,2311,2257],{},[837,2313,918],{"fence":603},[837,2315,901],{},[893,2317,2318,2320],{},[907,2319,2199],{},[907,2321,2257],{},[837,2323,901],{},[893,2325,2326,2329],{},[907,2327,2328],{},"0,75",[907,2330,1567],{},[837,2332,1239],{},[907,2334,2335],{},"56",[837,2337,901],{},[893,2339,2340,2342],{},[907,2341,2199],{},[907,2343,2257],{},[837,2345,901],{},[893,2347,2348,2350],{},[907,2349,2328],{},[907,2351,1567],{},[837,2353,1670],{},[907,2355,2356],{},"0,2076",[596,2358,2359],{"encoding":598},"P(X = 3) = \\binom{8}{3} \\cdot 0{,}25^3 \\cdot 0{,}75^5 = 56 \\cdot 0{,}25^3 \\cdot 0{,}75^5 \\approx 0{,}2076",[573,2361,2363,2387,2408,2483,2540,2597,2615,2671,2727],{"className":2362,"ariaHidden":603},[602],[573,2364,2366,2369,2372,2375,2378,2381,2384],{"className":2365},[607],[573,2367],{"className":2368,"style":996},[611],[573,2370,1617],{"className":2371,"style":1702},[616,617],[573,2373,905],{"className":2374},[1000],[573,2376,700],{"className":2377,"style":716},[616,617],[573,2379],{"className":2380,"style":1261},[861],[573,2382,1239],{"className":2383},[1265],[573,2385],{"className":2386,"style":1261},[861],[573,2388,2390,2393,2396,2399,2402,2405],{"className":2389},[607],[573,2391],{"className":2392,"style":996},[611],[573,2394,2257],{"className":2395},[616],[573,2397,918],{"className":2398},[1026],[573,2400],{"className":2401,"style":1261},[861],[573,2403,1239],{"className":2404},[1265],[573,2406],{"className":2407,"style":1261},[861],[573,2409,2411,2414,2474,2477,2480],{"className":2410},[607],[573,2412],{"className":2413,"style":1745},[611],[573,2415,2417,2423,2468],{"className":2416},[616],[573,2418,2420],{"className":2419,"style":1109},[1000,1108],[573,2421,905],{"className":2422},[1113,976],[573,2424,2426],{"className":2425},[1080],[573,2427,2429,2460],{"className":2428},[953,1121],[573,2430,2432,2457],{"className":2431},[957],[573,2433,2435,2446],{"className":2434,"style":1767},[961],[573,2436,2437,2440],{"style":1770},[573,2438],{"className":2439,"style":1774},[969],[573,2441,2443],{"className":2442},[616],[573,2444,2257],{"className":2445},[616],[573,2447,2448,2451],{"style":1783},[573,2449],{"className":2450,"style":1774},[969],[573,2452,2454],{"className":2453},[616],[573,2455,2084],{"className":2456},[616],[573,2458,1163],{"className":2459},[1162],[573,2461,2463],{"className":2462},[957],[573,2464,2466],{"className":2465,"style":1802},[961],[573,2467],{},[573,2469,2471],{"className":2470,"style":1109},[1026,1108],[573,2472,918],{"className":2473},[1113,976],[573,2475],{"className":2476,"style":862},[861],[573,2478,901],{"className":2479},[866],[573,2481],{"className":2482,"style":862},[861],[573,2484,2486,2489,2492,2498,2502,2531,2534,2537],{"className":2485},[607],[573,2487],{"className":2488,"style":1826},[611],[573,2490,1242],{"className":2491},[616],[573,2493,2495],{"className":2494},[616],[573,2496,1563],{"className":2497},[1562],[573,2499,2501],{"className":2500},[616],"2",[573,2503,2505,2508],{"className":2504},[616],[573,2506,1567],{"className":2507},[616],[573,2509,2511],{"className":2510},[949],[573,2512,2514],{"className":2513},[953],[573,2515,2517],{"className":2516},[957],[573,2518,2520],{"className":2519,"style":1854},[961],[573,2521,2522,2525],{"style":1857},[573,2523],{"className":2524,"style":970},[969],[573,2526,2528],{"className":2527},[974,975,976,977],[573,2529,2257],{"className":2530},[616,977],[573,2532],{"className":2533,"style":862},[861],[573,2535,901],{"className":2536},[866],[573,2538],{"className":2539,"style":862},[861],[573,2541,2543,2546,2549,2555,2559,2588,2591,2594],{"className":2542},[607],[573,2544],{"className":2545,"style":1826},[611],[573,2547,1242],{"className":2548},[616],[573,2550,2552],{"className":2551},[616],[573,2553,1563],{"className":2554},[1562],[573,2556,2558],{"className":2557},[616],"7",[573,2560,2562,2565],{"className":2561},[616],[573,2563,1567],{"className":2564},[616],[573,2566,2568],{"className":2567},[949],[573,2569,2571],{"className":2570},[953],[573,2572,2574],{"className":2573},[957],[573,2575,2577],{"className":2576,"style":1854},[961],[573,2578,2579,2582],{"style":1857},[573,2580],{"className":2581,"style":970},[969],[573,2583,2585],{"className":2584},[974,975,976,977],[573,2586,1567],{"className":2587},[616,977],[573,2589],{"className":2590,"style":1261},[861],[573,2592,1239],{"className":2593},[1265],[573,2595],{"className":2596,"style":1261},[861],[573,2598,2600,2603,2606,2609,2612],{"className":2599},[607],[573,2601],{"className":2602,"style":1275},[611],[573,2604,2335],{"className":2605},[616],[573,2607],{"className":2608,"style":862},[861],[573,2610,901],{"className":2611},[866],[573,2613],{"className":2614,"style":862},[861],[573,2616,2618,2621,2624,2630,2633,2662,2665,2668],{"className":2617},[607],[573,2619],{"className":2620,"style":1826},[611],[573,2622,1242],{"className":2623},[616],[573,2625,2627],{"className":2626},[616],[573,2628,1563],{"className":2629},[1562],[573,2631,2501],{"className":2632},[616],[573,2634,2636,2639],{"className":2635},[616],[573,2637,1567],{"className":2638},[616],[573,2640,2642],{"className":2641},[949],[573,2643,2645],{"className":2644},[953],[573,2646,2648],{"className":2647},[957],[573,2649,2651],{"className":2650,"style":1854},[961],[573,2652,2653,2656],{"style":1857},[573,2654],{"className":2655,"style":970},[969],[573,2657,2659],{"className":2658},[974,975,976,977],[573,2660,2257],{"className":2661},[616,977],[573,2663],{"className":2664,"style":862},[861],[573,2666,901],{"className":2667},[866],[573,2669],{"className":2670,"style":862},[861],[573,2672,2674,2677,2680,2686,2689,2718,2721,2724],{"className":2673},[607],[573,2675],{"className":2676,"style":1826},[611],[573,2678,1242],{"className":2679},[616],[573,2681,2683],{"className":2682},[616],[573,2684,1563],{"className":2685},[1562],[573,2687,2558],{"className":2688},[616],[573,2690,2692,2695],{"className":2691},[616],[573,2693,1567],{"className":2694},[616],[573,2696,2698],{"className":2697},[949],[573,2699,2701],{"className":2700},[953],[573,2702,2704],{"className":2703},[957],[573,2705,2707],{"className":2706,"style":1854},[961],[573,2708,2709,2712],{"style":1857},[573,2710],{"className":2711,"style":970},[969],[573,2713,2715],{"className":2714},[974,975,976,977],[573,2716,1567],{"className":2717},[616,977],[573,2719],{"className":2720,"style":1261},[861],[573,2722,1670],{"className":2723},[1265],[573,2725],{"className":2726,"style":1261},[861],[573,2728,2730,2733,2736,2742],{"className":2729},[607],[573,2731],{"className":2732,"style":1552},[611],[573,2734,1242],{"className":2735},[616],[573,2737,2739],{"className":2738},[616],[573,2740,1563],{"className":2741},[1562],[573,2743,2745],{"className":2744},[616],"2076",[565,2747,2748],{},"Höchstens eine richtige Antwort:",[573,2750,2752],{"className":2751},[1601],[573,2753,2755,2820],{"className":2754},[576],[573,2756,2758],{"className":2757},[580],[582,2759,2760],{"xmlns":584,"display":1610},[586,2761,2762,2817],{},[589,2763,2764,2766,2768,2770,2773,2775,2777,2779,2785,2788,2790,2792,2794,2796,2802,2804,2807,2809,2812,2814],{},[592,2765,1617],{},[837,2767,905],{"stretchy":904},[592,2769,700],{},[837,2771,2772],{},"≤",[907,2774,909],{},[837,2776,918],{"stretchy":904},[837,2778,1239],{},[893,2780,2781,2783],{},[907,2782,2328],{},[907,2784,2084],{},[837,2786,2787],{},"+",[907,2789,2084],{},[837,2791,901],{},[907,2793,2199],{},[837,2795,901],{},[893,2797,2798,2800],{},[907,2799,2328],{},[907,2801,2558],{},[837,2803,1670],{},[907,2805,2806],{},"0,1001",[837,2808,2787],{},[907,2810,2811],{},"0,2670",[837,2813,1239],{},[907,2815,2816],{},"0,3671",[596,2818,2819],{"encoding":598},"P(X \\leq 1) = 0{,}75^8 + 8 \\cdot 0{,}25 \\cdot 0{,}75^7 \\approx 0{,}1001 + 0{,}2670 = 0{,}3671",[573,2821,2823,2847,2868,2924,2942,2969,3025,3053,3081],{"className":2822,"ariaHidden":603},[602],[573,2824,2826,2829,2832,2835,2838,2841,2844],{"className":2825},[607],[573,2827],{"className":2828,"style":996},[611],[573,2830,1617],{"className":2831,"style":1702},[616,617],[573,2833,905],{"className":2834},[1000],[573,2836,700],{"className":2837,"style":716},[616,617],[573,2839],{"className":2840,"style":1261},[861],[573,2842,2772],{"className":2843},[1265],[573,2845],{"className":2846,"style":1261},[861],[573,2848,2850,2853,2856,2859,2862,2865],{"className":2849},[607],[573,2851],{"className":2852,"style":996},[611],[573,2854,909],{"className":2855},[616],[573,2857,918],{"className":2858},[1026],[573,2860],{"className":2861,"style":1261},[861],[573,2863,1239],{"className":2864},[1265],[573,2866],{"className":2867,"style":1261},[861],[573,2869,2871,2874,2877,2883,2886,2915,2918,2921],{"className":2870},[607],[573,2872],{"className":2873,"style":1826},[611],[573,2875,1242],{"className":2876},[616],[573,2878,2880],{"className":2879},[616],[573,2881,1563],{"className":2882},[1562],[573,2884,2558],{"className":2885},[616],[573,2887,2889,2892],{"className":2888},[616],[573,2890,1567],{"className":2891},[616],[573,2893,2895],{"className":2894},[949],[573,2896,2898],{"className":2897},[953],[573,2899,2901],{"className":2900},[957],[573,2902,2904],{"className":2903,"style":1854},[961],[573,2905,2906,2909],{"style":1857},[573,2907],{"className":2908,"style":970},[969],[573,2910,2912],{"className":2911},[974,975,976,977],[573,2913,2084],{"className":2914},[616,977],[573,2916],{"className":2917,"style":862},[861],[573,2919,2787],{"className":2920},[866],[573,2922],{"className":2923,"style":862},[861],[573,2925,2927,2930,2933,2936,2939],{"className":2926},[607],[573,2928],{"className":2929,"style":1275},[611],[573,2931,2084],{"className":2932},[616],[573,2934],{"className":2935,"style":862},[861],[573,2937,901],{"className":2938},[866],[573,2940],{"className":2941,"style":862},[861],[573,2943,2945,2948,2951,2957,2960,2963,2966],{"className":2944},[607],[573,2946],{"className":2947,"style":1552},[611],[573,2949,1242],{"className":2950},[616],[573,2952,2954],{"className":2953},[616],[573,2955,1563],{"className":2956},[1562],[573,2958,2242],{"className":2959},[616],[573,2961],{"className":2962,"style":862},[861],[573,2964,901],{"className":2965},[866],[573,2967],{"className":2968,"style":862},[861],[573,2970,2972,2975,2978,2984,2987,3016,3019,3022],{"className":2971},[607],[573,2973],{"className":2974,"style":1826},[611],[573,2976,1242],{"className":2977},[616],[573,2979,2981],{"className":2980},[616],[573,2982,1563],{"className":2983},[1562],[573,2985,2558],{"className":2986},[616],[573,2988,2990,2993],{"className":2989},[616],[573,2991,1567],{"className":2992},[616],[573,2994,2996],{"className":2995},[949],[573,2997,2999],{"className":2998},[953],[573,3000,3002],{"className":3001},[957],[573,3003,3005],{"className":3004,"style":1854},[961],[573,3006,3007,3010],{"style":1857},[573,3008],{"className":3009,"style":970},[969],[573,3011,3013],{"className":3012},[974,975,976,977],[573,3014,2558],{"className":3015},[616,977],[573,3017],{"className":3018,"style":1261},[861],[573,3020,1670],{"className":3021},[1265],[573,3023],{"className":3024,"style":1261},[861],[573,3026,3028,3031,3034,3040,3044,3047,3050],{"className":3027},[607],[573,3029],{"className":3030,"style":1552},[611],[573,3032,1242],{"className":3033},[616],[573,3035,3037],{"className":3036},[616],[573,3038,1563],{"className":3039},[1562],[573,3041,3043],{"className":3042},[616],"1001",[573,3045],{"className":3046,"style":862},[861],[573,3048,2787],{"className":3049},[866],[573,3051],{"className":3052,"style":862},[861],[573,3054,3056,3059,3062,3068,3072,3075,3078],{"className":3055},[607],[573,3057],{"className":3058,"style":1552},[611],[573,3060,1242],{"className":3061},[616],[573,3063,3065],{"className":3064},[616],[573,3066,1563],{"className":3067},[1562],[573,3069,3071],{"className":3070},[616],"2670",[573,3073],{"className":3074,"style":1261},[861],[573,3076,1239],{"className":3077},[1265],[573,3079],{"className":3080,"style":1261},[861],[573,3082,3084,3087,3090,3096],{"className":3083},[607],[573,3085],{"className":3086,"style":1552},[611],[573,3088,1242],{"className":3089},[616],[573,3091,3093],{"className":3092},[616],[573,3094,1563],{"className":3095},[1562],[573,3097,3099],{"className":3098},[616],"3671",[565,3101,3102,3103,779],{},"Mindestens zwei richtige Antworten hat man also mit einer Wahrscheinlichkeit von ",[573,3104,3106,3143],{"className":3105},[576],[573,3107,3109],{"className":3108},[580],[582,3110,3111],{"xmlns":584},[586,3112,3113,3140],{},[589,3114,3115,3117,3119,3121,3123,3125,3127,3129,3131,3133,3136,3138],{},[907,3116,909],{},[837,3118,839],{},[592,3120,1617],{},[837,3122,905],{"stretchy":904},[592,3124,700],{},[837,3126,2772],{},[907,3128,909],{},[837,3130,918],{"stretchy":904},[837,3132,1670],{},[907,3134,3135],{},"63,3",[1680,3137,1682],{},[592,3139,1686],{"mathvariant":1685},[596,3141,3142],{"encoding":598},"1 - P(X \\leq 1) \\approx 63{,}3\\,\\%",[573,3144,3146,3165,3189,3210],{"className":3145,"ariaHidden":603},[602],[573,3147,3149,3153,3156,3159,3162],{"className":3148},[607],[573,3150],{"className":3151,"style":3152},[611],"height:0.7278em;vertical-align:-0.0833em;",[573,3154,909],{"className":3155},[616],[573,3157],{"className":3158,"style":862},[861],[573,3160,839],{"className":3161},[866],[573,3163],{"className":3164,"style":862},[861],[573,3166,3168,3171,3174,3177,3180,3183,3186],{"className":3167},[607],[573,3169],{"className":3170,"style":996},[611],[573,3172,1617],{"className":3173,"style":1702},[616,617],[573,3175,905],{"className":3176},[1000],[573,3178,700],{"className":3179,"style":716},[616,617],[573,3181],{"className":3182,"style":1261},[861],[573,3184,2772],{"className":3185},[1265],[573,3187],{"className":3188,"style":1261},[861],[573,3190,3192,3195,3198,3201,3204,3207],{"className":3191},[607],[573,3193],{"className":3194,"style":996},[611],[573,3196,909],{"className":3197},[616],[573,3199,918],{"className":3200},[1026],[573,3202],{"className":3203,"style":1261},[861],[573,3205,1670],{"className":3206},[1265],[573,3208],{"className":3209,"style":1261},[861],[573,3211,3213,3216,3220,3226,3229,3232],{"className":3212},[607],[573,3214],{"className":3215,"style":2045},[611],[573,3217,3219],{"className":3218},[616],"63",[573,3221,3223],{"className":3222},[616],[573,3224,1563],{"className":3225},[1562],[573,3227,2257],{"className":3228},[616],[573,3230],{"className":3231,"style":2063},[861],[573,3233,1686],{"className":3234},[616],[560,3236,3238],{"id":3237},"typische-fehler","Typische Fehler",[784,3240,3241,3781,3924,4126],{},[787,3242,3243,750,3271,3322,3323,3589,3590,3656,3657,3723,3724,3752,3753,779],{},[573,3244,3246,3259],{"className":3245},[576],[573,3247,3249],{"className":3248},[580],[582,3250,3251],{"xmlns":584},[586,3252,3253,3257],{},[589,3254,3255],{},[592,3256,565],{},[596,3258,565],{"encoding":598},[573,3260,3262],{"className":3261,"ariaHidden":603},[602],[573,3263,3265,3268],{"className":3264},[607],[573,3266],{"className":3267,"style":681},[611],[573,3269,565],{"className":3270},[616,617],[573,3272,3274,3292],{"className":3273},[576],[573,3275,3277],{"className":3276},[580],[582,3278,3279],{"xmlns":584},[586,3280,3281,3289],{},[589,3282,3283,3285,3287],{},[907,3284,909],{},[837,3286,839],{},[592,3288,565],{},[596,3290,3291],{"encoding":598},"1 - p",[573,3293,3295,3313],{"className":3294,"ariaHidden":603},[602],[573,3296,3298,3301,3304,3307,3310],{"className":3297},[607],[573,3299],{"className":3300,"style":3152},[611],[573,3302,909],{"className":3303},[616],[573,3305],{"className":3306,"style":862},[861],[573,3308,839],{"className":3309},[866],[573,3311],{"className":3312,"style":862},[861],[573,3314,3316,3319],{"className":3315},[607],[573,3317],{"className":3318,"style":681},[611],[573,3320,565],{"className":3321},[616,617]," vertauschen. Mit ",[573,3324,3326,3371],{"className":3325},[576],[573,3327,3329],{"className":3328},[580],[582,3330,3331],{"xmlns":584},[586,3332,3333,3368],{},[589,3334,3335,3347,3349,3355,3357,3363,3365],{},[589,3336,3337,3339,3345],{},[837,3338,905],{"fence":603},[1080,3340,3341,3343],{"linethickness":1082},[907,3342,2084],{},[907,3344,2257],{},[837,3346,918],{"fence":603},[837,3348,901],{},[893,3350,3351,3353],{},[907,3352,2328],{},[907,3354,2257],{},[837,3356,901],{},[893,3358,3359,3361],{},[907,3360,2199],{},[907,3362,1567],{},[837,3364,1670],{},[907,3366,3367],{},"0,0231",[596,3369,3370],{"encoding":598},"\\binom{8}{3} \\cdot 0{,}75^3 \\cdot 0{,}25^5 \\approx 0{,}0231",[573,3372,3374,3457,3514,3570],{"className":3373,"ariaHidden":603},[602],[573,3375,3377,3381,3448,3451,3454],{"className":3376},[607],[573,3378],{"className":3379,"style":3380},[611],"height:1.2451em;vertical-align:-0.35em;",[573,3382,3384,3390,3442],{"className":3383},[616],[573,3385,3387],{"className":3386,"style":1109},[1000,1108],[573,3388,905],{"className":3389},[1113,1114],[573,3391,3393],{"className":3392},[1080],[573,3394,3396,3434],{"className":3395},[953,1121],[573,3397,3399,3431],{"className":3398},[957],[573,3400,3403,3417],{"className":3401,"style":3402},[961],"height:0.8951em;",[573,3404,3405,3408],{"style":1131},[573,3406],{"className":3407,"style":970},[969],[573,3409,3411],{"className":3410},[974,975,976,977],[573,3412,3414],{"className":3413},[616,977],[573,3415,2257],{"className":3416},[616,977],[573,3418,3419,3422],{"style":1146},[573,3420],{"className":3421,"style":970},[969],[573,3423,3425],{"className":3424},[974,975,976,977],[573,3426,3428],{"className":3427},[616,977],[573,3429,2084],{"className":3430},[616,977],[573,3432,1163],{"className":3433},[1162],[573,3435,3437],{"className":3436},[957],[573,3438,3440],{"className":3439,"style":1170},[961],[573,3441],{},[573,3443,3445],{"className":3444,"style":1109},[1026,1108],[573,3446,918],{"className":3447},[1113,1114],[573,3449],{"className":3450,"style":862},[861],[573,3452,901],{"className":3453},[866],[573,3455],{"className":3456,"style":862},[861],[573,3458,3460,3464,3467,3473,3476,3505,3508,3511],{"className":3459},[607],[573,3461],{"className":3462,"style":3463},[611],"height:1.0085em;vertical-align:-0.1944em;",[573,3465,1242],{"className":3466},[616],[573,3468,3470],{"className":3469},[616],[573,3471,1563],{"className":3472},[1562],[573,3474,2558],{"className":3475},[616],[573,3477,3479,3482],{"className":3478},[616],[573,3480,1567],{"className":3481},[616],[573,3483,3485],{"className":3484},[949],[573,3486,3488],{"className":3487},[953],[573,3489,3491],{"className":3490},[957],[573,3492,3494],{"className":3493,"style":1365},[961],[573,3495,3496,3499],{"style":965},[573,3497],{"className":3498,"style":970},[969],[573,3500,3502],{"className":3501},[974,975,976,977],[573,3503,2257],{"className":3504},[616,977],[573,3506],{"className":3507,"style":862},[861],[573,3509,901],{"className":3510},[866],[573,3512],{"className":3513,"style":862},[861],[573,3515,3517,3520,3523,3529,3532,3561,3564,3567],{"className":3516},[607],[573,3518],{"className":3519,"style":3463},[611],[573,3521,1242],{"className":3522},[616],[573,3524,3526],{"className":3525},[616],[573,3527,1563],{"className":3528},[1562],[573,3530,2501],{"className":3531},[616],[573,3533,3535,3538],{"className":3534},[616],[573,3536,1567],{"className":3537},[616],[573,3539,3541],{"className":3540},[949],[573,3542,3544],{"className":3543},[953],[573,3545,3547],{"className":3546},[957],[573,3548,3550],{"className":3549,"style":1365},[961],[573,3551,3552,3555],{"style":965},[573,3553],{"className":3554,"style":970},[969],[573,3556,3558],{"className":3557},[974,975,976,977],[573,3559,1567],{"className":3560},[616,977],[573,3562],{"className":3563,"style":1261},[861],[573,3565,1670],{"className":3566},[1265],[573,3568],{"className":3569,"style":1261},[861],[573,3571,3573,3576,3579,3585],{"className":3572},[607],[573,3574],{"className":3575,"style":1552},[611],[573,3577,1242],{"className":3578},[616],[573,3580,3582],{"className":3581},[616],[573,3583,1563],{"className":3584},[1562],[573,3586,3588],{"className":3587},[616],"0231"," berechnet man ",[573,3591,3593,3617],{"className":3592},[576],[573,3594,3596],{"className":3595},[580],[582,3597,3598],{"xmlns":584},[586,3599,3600,3614],{},[589,3601,3602,3604,3606,3608,3610,3612],{},[592,3603,1617],{},[837,3605,905],{"stretchy":904},[592,3607,700],{},[837,3609,1239],{},[907,3611,1567],{},[837,3613,918],{"stretchy":904},[596,3615,3616],{"encoding":598},"P(X = 5)",[573,3618,3620,3644],{"className":3619,"ariaHidden":603},[602],[573,3621,3623,3626,3629,3632,3635,3638,3641],{"className":3622},[607],[573,3624],{"className":3625,"style":996},[611],[573,3627,1617],{"className":3628,"style":1702},[616,617],[573,3630,905],{"className":3631},[1000],[573,3633,700],{"className":3634,"style":716},[616,617],[573,3636],{"className":3637,"style":1261},[861],[573,3639,1239],{"className":3640},[1265],[573,3642],{"className":3643,"style":1261},[861],[573,3645,3647,3650,3653],{"className":3646},[607],[573,3648],{"className":3649,"style":996},[611],[573,3651,1567],{"className":3652},[616],[573,3654,918],{"className":3655},[1026],", nicht ",[573,3658,3660,3684],{"className":3659},[576],[573,3661,3663],{"className":3662},[580],[582,3664,3665],{"xmlns":584},[586,3666,3667,3681],{},[589,3668,3669,3671,3673,3675,3677,3679],{},[592,3670,1617],{},[837,3672,905],{"stretchy":904},[592,3674,700],{},[837,3676,1239],{},[907,3678,2257],{},[837,3680,918],{"stretchy":904},[596,3682,3683],{"encoding":598},"P(X = 3)",[573,3685,3687,3711],{"className":3686,"ariaHidden":603},[602],[573,3688,3690,3693,3696,3699,3702,3705,3708],{"className":3689},[607],[573,3691],{"className":3692,"style":996},[611],[573,3694,1617],{"className":3695,"style":1702},[616,617],[573,3697,905],{"className":3698},[1000],[573,3700,700],{"className":3701,"style":716},[616,617],[573,3703],{"className":3704,"style":1261},[861],[573,3706,1239],{"className":3707},[1265],[573,3709],{"className":3710,"style":1261},[861],[573,3712,3714,3717,3720],{"className":3713},[607],[573,3715],{"className":3716,"style":996},[611],[573,3718,2257],{"className":3719},[616],[573,3721,918],{"className":3722},[1026],". Der Exponent von ",[573,3725,3727,3740],{"className":3726},[576],[573,3728,3730],{"className":3729},[580],[582,3731,3732],{"xmlns":584},[586,3733,3734,3738],{},[589,3735,3736],{},[592,3737,565],{},[596,3739,565],{"encoding":598},[573,3741,3743],{"className":3742,"ariaHidden":603},[602],[573,3744,3746,3749],{"className":3745},[607],[573,3747],{"className":3748,"style":681},[611],[573,3750,565],{"className":3751},[616,617]," ist immer die Trefferzahl ",[573,3754,3756,3769],{"className":3755},[576],[573,3757,3759],{"className":3758},[580],[582,3760,3761],{"xmlns":584},[586,3762,3763,3767],{},[589,3764,3765],{},[592,3766,804],{},[596,3768,804],{"encoding":598},[573,3770,3772],{"className":3771,"ariaHidden":603},[602],[573,3773,3775,3778],{"className":3774},[607],[573,3776],{"className":3777,"style":816},[611],[573,3779,804],{"className":3780,"style":820},[616,617],[787,3782,3783,3784,3919,3920,3923],{},"Den Binomialkoeffizienten vergessen. ",[573,3785,3787,3813],{"className":3786},[576],[573,3788,3790],{"className":3789},[580],[582,3791,3792],{"xmlns":584},[586,3793,3794,3810],{},[589,3795,3796,3802,3804],{},[893,3797,3798,3800],{},[907,3799,2199],{},[907,3801,2257],{},[837,3803,901],{},[893,3805,3806,3808],{},[907,3807,2328],{},[907,3809,1567],{},[596,3811,3812],{"encoding":598},"0{,}25^3 \\cdot 0{,}75^5",[573,3814,3816,3872],{"className":3815,"ariaHidden":603},[602],[573,3817,3819,3822,3825,3831,3834,3863,3866,3869],{"className":3818},[607],[573,3820],{"className":3821,"style":3463},[611],[573,3823,1242],{"className":3824},[616],[573,3826,3828],{"className":3827},[616],[573,3829,1563],{"className":3830},[1562],[573,3832,2501],{"className":3833},[616],[573,3835,3837,3840],{"className":3836},[616],[573,3838,1567],{"className":3839},[616],[573,3841,3843],{"className":3842},[949],[573,3844,3846],{"className":3845},[953],[573,3847,3849],{"className":3848},[957],[573,3850,3852],{"className":3851,"style":1365},[961],[573,3853,3854,3857],{"style":965},[573,3855],{"className":3856,"style":970},[969],[573,3858,3860],{"className":3859},[974,975,976,977],[573,3861,2257],{"className":3862},[616,977],[573,3864],{"className":3865,"style":862},[861],[573,3867,901],{"className":3868},[866],[573,3870],{"className":3871,"style":862},[861],[573,3873,3875,3878,3881,3887,3890],{"className":3874},[607],[573,3876],{"className":3877,"style":3463},[611],[573,3879,1242],{"className":3880},[616],[573,3882,3884],{"className":3883},[616],[573,3885,1563],{"className":3886},[1562],[573,3888,2558],{"className":3889},[616],[573,3891,3893,3896],{"className":3892},[616],[573,3894,1567],{"className":3895},[616],[573,3897,3899],{"className":3898},[949],[573,3900,3902],{"className":3901},[953],[573,3903,3905],{"className":3904},[957],[573,3906,3908],{"className":3907,"style":1365},[961],[573,3909,3910,3913],{"style":965},[573,3911],{"className":3912,"style":970},[969],[573,3914,3916],{"className":3915},[974,975,976,977],[573,3917,1567],{"className":3918},[616,977]," ist nur die Wahrscheinlichkeit ",[569,3921,3922],{},"eines"," Pfades.",[787,3925,3926,3927,3993,3994,750,4060,779],{},"„Mindestens“ oder „höchstens“ wie „genau“ rechnen. ",[573,3928,3930,3954],{"className":3929},[576],[573,3931,3933],{"className":3932},[580],[582,3934,3935],{"xmlns":584},[586,3936,3937,3951],{},[589,3938,3939,3941,3943,3945,3947,3949],{},[592,3940,1617],{},[837,3942,905],{"stretchy":904},[592,3944,700],{},[837,3946,2772],{},[907,3948,909],{},[837,3950,918],{"stretchy":904},[596,3952,3953],{"encoding":598},"P(X \\leq 1)",[573,3955,3957,3981],{"className":3956,"ariaHidden":603},[602],[573,3958,3960,3963,3966,3969,3972,3975,3978],{"className":3959},[607],[573,3961],{"className":3962,"style":996},[611],[573,3964,1617],{"className":3965,"style":1702},[616,617],[573,3967,905],{"className":3968},[1000],[573,3970,700],{"className":3971,"style":716},[616,617],[573,3973],{"className":3974,"style":1261},[861],[573,3976,2772],{"className":3977},[1265],[573,3979],{"className":3980,"style":1261},[861],[573,3982,3984,3987,3990],{"className":3983},[607],[573,3985],{"className":3986,"style":996},[611],[573,3988,909],{"className":3989},[616],[573,3991,918],{"className":3992},[1026]," enthält ",[573,3995,3997,4021],{"className":3996},[576],[573,3998,4000],{"className":3999},[580],[582,4001,4002],{"xmlns":584},[586,4003,4004,4018],{},[589,4005,4006,4008,4010,4012,4014,4016],{},[592,4007,1617],{},[837,4009,905],{"stretchy":904},[592,4011,700],{},[837,4013,1239],{},[907,4015,1242],{},[837,4017,918],{"stretchy":904},[596,4019,4020],{"encoding":598},"P(X = 0)",[573,4022,4024,4048],{"className":4023,"ariaHidden":603},[602],[573,4025,4027,4030,4033,4036,4039,4042,4045],{"className":4026},[607],[573,4028],{"className":4029,"style":996},[611],[573,4031,1617],{"className":4032,"style":1702},[616,617],[573,4034,905],{"className":4035},[1000],[573,4037,700],{"className":4038,"style":716},[616,617],[573,4040],{"className":4041,"style":1261},[861],[573,4043,1239],{"className":4044},[1265],[573,4046],{"className":4047,"style":1261},[861],[573,4049,4051,4054,4057],{"className":4050},[607],[573,4052],{"className":4053,"style":996},[611],[573,4055,1242],{"className":4056},[616],[573,4058,918],{"className":4059},[1026],[573,4061,4063,4087],{"className":4062},[576],[573,4064,4066],{"className":4065},[580],[582,4067,4068],{"xmlns":584},[586,4069,4070,4084],{},[589,4071,4072,4074,4076,4078,4080,4082],{},[592,4073,1617],{},[837,4075,905],{"stretchy":904},[592,4077,700],{},[837,4079,1239],{},[907,4081,909],{},[837,4083,918],{"stretchy":904},[596,4085,4086],{"encoding":598},"P(X = 1)",[573,4088,4090,4114],{"className":4089,"ariaHidden":603},[602],[573,4091,4093,4096,4099,4102,4105,4108,4111],{"className":4092},[607],[573,4094],{"className":4095,"style":996},[611],[573,4097,1617],{"className":4098,"style":1702},[616,617],[573,4100,905],{"className":4101},[1000],[573,4103,700],{"className":4104,"style":716},[616,617],[573,4106],{"className":4107,"style":1261},[861],[573,4109,1239],{"className":4110},[1265],[573,4112],{"className":4113,"style":1261},[861],[573,4115,4117,4120,4123],{"className":4116},[607],[573,4118],{"className":4119,"style":996},[611],[573,4121,909],{"className":4122},[616],[573,4124,918],{"className":4125},[1026],[787,4127,4128],{},"Die Formel verwenden, obwohl keine Bernoulli-Kette vorliegt, z.B. beim Ziehen ohne Zurücklegen aus einer kleinen Urne.",{"title":4130,"searchDepth":4131,"depth":4131,"links":4132},"",2,[4133,4134,4135],{"id":562,"depth":4131,"text":563},{"id":1416,"depth":4131,"text":1417},{"id":3237,"depth":4131,"text":3238},[4137,4139,4142,4145,4148,4151,4154,4157,4160,4163,4166],{"lhs":4138,"rhs":909},"(1-p)^4 + 4*p*(1-p)^3 + 6*p^2*(1-p)^2 + 4*p^3*(1-p) + p^4",{"lhs":4140,"rhs":4141},"combinations(4, 2) * p^2 * (1-p)^2","6*p^2*(1-p)^2",{"lhs":4143,"rhs":4144},"combinations(10, 5) * 0.5^5 * 0.5^5","252\u002F1024",{"lhs":4146,"rhs":4147},"round(combinations(10, 5) * 0.5^10, 4)","0.2461",{"lhs":4149,"rhs":4150},"combinations(8, 3) * 0.25^3 * 0.75^5","56 * 0.25^3 * 0.75^5",{"lhs":4152,"rhs":4153},"round(combinations(8, 3) * 0.25^3 * 0.75^5, 4)","0.2076",{"lhs":4155,"rhs":4156},"round(0.75^8, 4)","0.1001",{"lhs":4158,"rhs":4159},"round(8 * 0.25 * 0.75^7, 4)","0.2670",{"lhs":4161,"rhs":4162},"round(0.75^8 + 8 * 0.25 * 0.75^7, 4)","0.3671",{"lhs":4164,"rhs":4165},"round((1 - (0.75^8 + 8 * 0.25 * 0.75^7)) * 100, 1)","63.3",{"lhs":4167,"rhs":4168},"round(combinations(8, 3) * 0.75^3 * 0.25^5, 4)","0.0231","X \\text{ Trefferzahl einer Bernoulli-Kette},\\ n \\geq 1,\\ 0 \\leq p \\leq 1,\\ k \\in \\{0, 1, \\ldots, n\\}","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>X\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">X\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:0.0785em;\">X\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">Trefferzahl einer\u003C\u002Fspan> \u003Cspan style=\"white-space: nowrap\">\u003Cspan class=\"katex\">Bernoulli-Kette\u003C\u002Fspan>\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">,\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.3em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>≥\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">n \\geq 1,\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:0.7719em;vertical-align:-0.136em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">≥\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8389em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">1\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmn>0\u003C\u002Fmn>\u003Cmo>≤\u003C\u002Fmo>\u003Cmi>p\u003C\u002Fmi>\u003Cmo>≤\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">0 \\leq p \\leq 1,\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:0.7804em;vertical-align:-0.136em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">0\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:0.8304em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">p\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">≤\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8389em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">1\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>k\u003C\u002Fmi>\u003Cmo>∈\u003C\u002Fmo>\u003Cmo stretchy=\"false\">{\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmo>…\u003C\u002Fmo>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmi>n\u003C\u002Fmi>\u003Cmo stretchy=\"false\">}\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">k \\in \\{0, 1, \\ldots, n\\}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.7335em;vertical-align:-0.0391em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0315em;\">k\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:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mopen\">{\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">1\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"minner\">…\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003Cspan class=\"mclose\">}\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","binomial-distribution","P(X = k) = \\binom{n}{k} \\cdot p^k \\cdot (1-p)^{n-k}","\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>X\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmi>k\u003C\u002Fmi>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmrow>\u003Cmo fence=\"true\">(\u003C\u002Fmo>\u003Cmfrac linethickness=\"0px\">\u003Cmi>n\u003C\u002Fmi>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmfrac>\u003Cmo fence=\"true\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmsup>\u003Cmi>p\u003C\u002Fmi>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmsup>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmo stretchy=\"false\">(\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003Cmo>−\u003C\u002Fmo>\u003Cmi>p\u003C\u002Fmi>\u003Cmsup>\u003Cmo stretchy=\"false\">)\u003C\u002Fmo>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>−\u003C\u002Fmo>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmrow>\u003C\u002Fmsup>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">P(X = k) = \\binom{n}{k} \\cdot p^k \\cdot (1-p)^{n-k}\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">P\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0785em;\">X\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:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0315em;\">k\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:2.4em;vertical-align:-0.95em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mopen delimcenter\" style=\"top:0em;\">\u003Cspan class=\"delimsizing size3\">(\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.1076em;\">\u003Cspan style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.677em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.686em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose delimcenter\" style=\"top:0em;\">\u003Cspan class=\"delimsizing size3\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">⋅\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.0935em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">p\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8991em;\">\u003Cspan style=\"top:-3.113em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">⋅\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mopen\">(\u003C\u002Fspan>\u003Cspan class=\"mord\">1\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">−\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.1491em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">p\u003C\u002Fspan>\u003Cspan class=\"mclose\">\u003Cspan class=\"mclose\">)\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8991em;\">\u003Cspan style=\"top:-3.113em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003Cspan class=\"mbin mtight\">−\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","upper",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Fstochastics\u002Fbinomialverteilung",[],[4182,4183,4184,4185],"binomial-coefficient","binomial-mean-sd","complement-probability","path-multiplication-rule",{"title":548,"description":4130},"de\u002Fformulas\u002Fmath\u002Fstochastics\u002Fbinomialverteilung","Wahrscheinlichkeit für genau k Treffer bei n unabhängigen Versuchen mit Trefferwahrscheinlichkeit p.",[4190,4191,4192,4193],"bernoulli-kette","trefferwahrscheinlichkeit","zufallsgröße","wahrscheinlichkeitsverteilung",[4195,4198,4201,4204,4207,4211],{"symbol":700,"meaning":4196,"symbolHtml":4197},"Zufallsgröße, die Anzahl der Treffer in der Bernoulli-Kette","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>X\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">X\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:0.0785em;\">X\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":594,"meaning":4199,"symbolHtml":4200},"Länge der Bernoulli-Kette, also Anzahl der Durchführungen","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">n\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":804,"meaning":4202,"symbolHtml":4203},"Anzahl der Treffer, deren Wahrscheinlichkeit gesucht ist","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation 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style=\"height:0.625em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">p\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":4208,"meaning":4209,"symbolHtml":4210},"1-p","Wahrscheinlichkeit für eine Niete bei jeder Durchführung","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmn>1\u003C\u002Fmn>\u003Cmo>−\u003C\u002Fmo>\u003Cmi>p\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">1-p\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:0.7278em;vertical-align:-0.0833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">1\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">−\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.625em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">p\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":1091,"meaning":4212,"symbolHtml":4213},"Binomialkoeffizient, Anzahl der Pfade mit genau k Treffern","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmo fence=\"true\">(\u003C\u002Fmo>\u003Cmfrac linethickness=\"0px\">\u003Cmi>n\u003C\u002Fmi>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmfrac>\u003Cmo fence=\"true\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation 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style=\"top:-3.144em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.345em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose delimcenter\" style=\"top:0em;\">\u003Cspan class=\"delimsizing 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