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Консультация № 160096
10.02.2009, 14:18
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Здраствуйте, помогите пожалуйста решить две задачи:
1. Между N людей есть n знакомых. Все N людей случайным образом садятся за круглый стол, какая вероятность того что все знакомые будут сидеть рядом друг с другом? N=12 n=4
2. За длинным столом, одним концом придвинутом к стене с одной стороны сидит N людей. Если ктото выходит, и ему нужно перейти когото кто еще сидит за столом, то он извиняется. Какая вероятность того, что n-ный человек выходя должен будет извинится два раза? N=6 n=4
Желательно не только ответ, но и решение с пояснениями.
Заранее Спасибо.
1. Между N людей есть n знакомых. Все N людей случайным образом садятся за круглый стол, какая вероятность того что все знакомые будут сидеть рядом друг с другом? N=12 n=4
2. За длинным столом, одним концом придвинутом к стене с одной стороны сидит N людей. Если ктото выходит, и ему нужно перейти когото кто еще сидит за столом, то он извиняется. Какая вероятность того, что n-ный человек выходя должен будет извинится два раза? N=6 n=4
Желательно не только ответ, но и решение с пояснениями.
Заранее Спасибо.
Обсуждение
Неизвестный
10.02.2009, 14:37
общий
это ответ
Здравствуйте, Станислав!
Искомая вероятность = отношение кол-ва вариантов, когда они сидят рядом к общему кол-ву вариантов рассадки.
Кол-во вариантов, когда они сидят рядом – N (12).
Общее кол-во вариантов рассадки – это сочетания из N по n, C(N,n). C(12,4) = 495
P = 12/495 = 0,024(24)
Искомая вероятность = отношение кол-ва вариантов, когда они сидят рядом к общему кол-ву вариантов рассадки.
Кол-во вариантов, когда они сидят рядом – N (12).
Общее кол-во вариантов рассадки – это сочетания из N по n, C(N,n). C(12,4) = 495
P = 12/495 = 0,024(24)
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