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Консультация № 179835
01.09.2010, 17:16
0.00 руб.
0
3
2
Товарищи эксперты помогите пожалуйста в решении задачи по теории вероятности:
В первом ящике m шаров, среди них m1 белого цвета, остальные - красные. Во втором ящике n шаров, среди них n1 белого цвета, остальные – красные.
Все шары переложили в один ящик, после чего наугад взяли четыре шара. Найдите вероятность того, что среди них ровно три белых.
Исходные данные:
m=8
m1=5
n=11
n1=7
В первом ящике m шаров, среди них m1 белого цвета, остальные - красные. Во втором ящике n шаров, среди них n1 белого цвета, остальные – красные.
Все шары переложили в один ящик, после чего наугад взяли четыре шара. Найдите вероятность того, что среди них ровно три белых.
Исходные данные:
m=8
m1=5
n=11
n1=7
Обсуждение
01.09.2010, 17:55
общий
это ответ
Здравствуйте, Никитинская Ольга Владимировна.
Это задача на гипергеометрическое распределение. Всего имеется m+n=19 шаров. Среди них m1+n1=12 белых. Выбираем s=4 шара. Вероятность того, что среди них k=3 белых
p=Cm1+n1k*Cm+n-m1-n1s-k/Cm+ns=C123*C71/C194=220*7/3876=0,397
Это задача на гипергеометрическое распределение. Всего имеется m+n=19 шаров. Среди них m1+n1=12 белых. Выбираем s=4 шара. Вероятность того, что среди них k=3 белых
p=Cm1+n1k*Cm+n-m1-n1s-k/Cm+ns=C123*C71/C194=220*7/3876=0,397
5
Неизвестный
01.09.2010, 20:08
общий
это ответ
Здравствуйте, Никитинская Ольга Владимировна.
После смешивания шаров в ящике m1+n1 белого, (m-m1)+(n-n1) красного цвета. Итого m+n.
Задача на Гипергеометрическое распределение.
P = (С(m1+n1,3)*С((m-m1)+(n-n1),1)/С(m+n,4) = (С(12,3)*С(7,1)/С(19,4) = 0,397317
После смешивания шаров в ящике m1+n1 белого, (m-m1)+(n-n1) красного цвета. Итого m+n.
Задача на Гипергеометрическое распределение.
P = (С(m1+n1,3)*С((m-m1)+(n-n1),1)/С(m+n,4) = (С(12,3)*С(7,1)/С(19,4) = 0,397317
Форма ответа
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