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Консультация № 177304
17.03.2010, 18:16
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1
1
И такая задача:
В группе спортсменов два мастера спорта, шесть кандидатов в мастера и
восемь перворазрядников. По жребию выбирается четыре спортсмена. Найти
вероятности событий:
А – все четыре выбранные спортсмена оказались перворазрядниками;
В – среди выбранных спортсменов хотя бы один оказался перворазрядником;
С – среди выбранных спортсменов ровно половина оказалась
перворазрядниками.
В группе спортсменов два мастера спорта, шесть кандидатов в мастера и
восемь перворазрядников. По жребию выбирается четыре спортсмена. Найти
вероятности событий:
А – все четыре выбранные спортсмена оказались перворазрядниками;
В – среди выбранных спортсменов хотя бы один оказался перворазрядником;
С – среди выбранных спортсменов ровно половина оказалась
перворазрядниками.
Обсуждение
Неизвестный
17.03.2010, 19:28
общий
это ответ
Здравствуйте, Сидорова Юлия Евгеньевна.
Всего спортсменов 2+6+8=16
Вычислим вероятность события А.
Вероятность того, что первый выбранный спортсмен будет перворазрядником, равна 8/16=1/2
Вероятность того, что второй окажется перворазрядником, при условии того, что первый перворазрядник 7/15
Аналогично, для третьего 6/14 = 3/7 и для четвертого 5/13.
P(A) = 1/2 *7/15 * 3/7 * 5/13 =1*7*3*5/2*15*7*13=1/26
Вероятность события В равна 25/26, а Р(С) = 28/65
Всего спортсменов 2+6+8=16
Вычислим вероятность события А.
Вероятность того, что первый выбранный спортсмен будет перворазрядником, равна 8/16=1/2
Вероятность того, что второй окажется перворазрядником, при условии того, что первый перворазрядник 7/15
Аналогично, для третьего 6/14 = 3/7 и для четвертого 5/13.
P(A) = 1/2 *7/15 * 3/7 * 5/13 =1*7*3*5/2*15*7*13=1/26
Вероятность события В равна 25/26, а Р(С) = 28/65
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