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Консультация № 123401
16.02.2008, 16:33
0.00 руб.
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Здравствуйте! Помогите пожалуйста решить задачу.
В ящике находятся М пригодных и N непригодных для дольнейшей обработки заготовок.
а) Какова вероятность того, что среди 2-х выбранных случайно одна за одной заготовок обе окажутся пригодными для дальнейшей обработки?
б) Как изменится искомая вероятность, если обе заготовки выбраны одновременно?
Спасибо.
В ящике находятся М пригодных и N непригодных для дольнейшей обработки заготовок.
а) Какова вероятность того, что среди 2-х выбранных случайно одна за одной заготовок обе окажутся пригодными для дальнейшей обработки?
б) Как изменится искомая вероятность, если обе заготовки выбраны одновременно?
Спасибо.
Обсуждение
Неизвестный
16.02.2008, 16:58
общий
это ответ
Здравствуйте, Александра Сергеевна Телеп!
а)
P1 = M/(M+N) - вероятность того, что первая выбранная заготовка пригодна.
P2 = (M-1)/(M+N+1) - вероятность того, что вторая выбранная заготовка пригодна,
при условии, что и первая была пригодна.
p = P1*P2 = M(M-1) / ( (M+N)(M+N-1) ) - вероятность того, что среди 2-х выбранных случайно одна за одной заготовок обе окажутся пригодными.
б)
K =(M+N)(M+N-1)/2! - общее количество способов выбора 2-х любых заготовок
K1 = M(M-1)/2! - общее количество способов выбора 2-х пригодных заготовок
q = K1/K - вероянтость выбора 2-х пригдных заготовок, при обдновременном выборе.
Как легко видеть, результат не изменился
а)
P1 = M/(M+N) - вероятность того, что первая выбранная заготовка пригодна.
P2 = (M-1)/(M+N+1) - вероятность того, что вторая выбранная заготовка пригодна,
при условии, что и первая была пригодна.
p = P1*P2 = M(M-1) / ( (M+N)(M+N-1) ) - вероятность того, что среди 2-х выбранных случайно одна за одной заготовок обе окажутся пригодными.
б)
K =(M+N)(M+N-1)/2! - общее количество способов выбора 2-х любых заготовок
K1 = M(M-1)/2! - общее количество способов выбора 2-х пригодных заготовок
q = K1/K - вероянтость выбора 2-х пригдных заготовок, при обдновременном выборе.
Как легко видеть, результат не изменился
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