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Консультация № 183632
15.06.2011, 14:27
67.88 руб.
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Вычислить вероятность извлечения из колоды (52 карты) 2 тузов, 2 королей и еще одной любой карты другого достоинства.
Вычислить вероятность извлечения из колоды (52 карты) 2 тузов, 2 королей и еще одной любой карты другого достоинства.
Обсуждение
15.06.2011, 14:38
общий
это ответ
Здравствуйте, Владислав!
Всего имеется C525 выборок 5 карт из 52. Нужными нам свойствами обладают (C42)2*44=36*44=1584
C525=52*51*50*49*48/5!=2598960
1584/2598960=6*10-4
Всего имеется C525 выборок 5 карт из 52. Нужными нам свойствами обладают (C42)2*44=36*44=1584
C525=52*51*50*49*48/5!=2598960
1584/2598960=6*10-4
15.06.2011, 14:40
общий
это ответ
Здравствуйте, Владислав!
Возможные варианты: С из 52 по 5 = 52!/(5!47!)=2598960
Двух королей (как и тузов) из четырех можно извлечь (С из 4 по 2) способами. Остальных карт 44 (колода - 8 королей и тузов).
Нас устраивают: (С из 4 по 2)*(С из 4 по 2)*(52-8)=6*6*44=1584
Искомая вероятность: 1584/2598960 приблизительно 0,00061
Возможные варианты: С из 52 по 5 = 52!/(5!47!)=2598960
Двух королей (как и тузов) из четырех можно извлечь (С из 4 по 2) способами. Остальных карт 44 (колода - 8 королей и тузов).
Нас устраивают: (С из 4 по 2)*(С из 4 по 2)*(52-8)=6*6*44=1584
Искомая вероятность: 1584/2598960 приблизительно 0,00061
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