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Консультация № 64040
24.11.2006, 18:50
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Имеются 2 ящика, в первом из них 5 белых и 8 красных шаров, во втором – 3 белых и 2 красных. Из каждого ящика вынимается наудачу по одному шару. Какова вероятность того, что один из них будет красным, а другой белым?
Обсуждение
Неизвестный
24.11.2006, 20:35
общий
это ответ
Здравствуйте, Galka!
Если я не забыл теорию вероятности, то это считается так:
Вероятность получить один красный и один белый равна сумме вероятностей:
1) Вероятность получить из первого красный и из второго белый
2) Вероятность получить из первого белый и из второго красный
Считаем:
1)
5/(5+8) - вероятность получить из первого красный = 5/13
3/(3+2) - вероятность получить из второго белый = 3/5
Вероятность получить из первого красный и из второго белый = (5/13)*(3/5)=3/13
2)
8/(5+8) - вероятность получить из первого белый = 8/13
2/(3+2) - вероятность получить из второго красный = 2/5
Вероятность получить из первого красный и из второго белый = (8/13)*(2/5)=16/65
Всего вероятность = 1) + 2) = 3/13+16/65 = 31/65
Удачи!
Если я не забыл теорию вероятности, то это считается так:
Вероятность получить один красный и один белый равна сумме вероятностей:
1) Вероятность получить из первого красный и из второго белый
2) Вероятность получить из первого белый и из второго красный
Считаем:
1)
5/(5+8) - вероятность получить из первого красный = 5/13
3/(3+2) - вероятность получить из второго белый = 3/5
Вероятность получить из первого красный и из второго белый = (5/13)*(3/5)=3/13
2)
8/(5+8) - вероятность получить из первого белый = 8/13
2/(3+2) - вероятность получить из второго красный = 2/5
Вероятность получить из первого красный и из второго белый = (8/13)*(2/5)=16/65
Всего вероятность = 1) + 2) = 3/13+16/65 = 31/65
Удачи!
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