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Консультация № 183630
15.06.2011, 13:28
54.74 руб.
0
2
2
Здравствуйте! У меня возникли сложности с таким вопросом:
Извлекаются две кости домино. Какова вероятность что их можно составить вместе?
Извлекаются две кости домино. Какова вероятность что их можно составить вместе?
Обсуждение
15.06.2011, 13:46
общий
это ответ
Здравствуйте, Владислав!
Всего домино 28 штук. Количество способов извлечения по 2 штуки:
Составляются вместе:
0:0 - 0:1,0:2,0:3,0:4,0:5,0:6 (6 вариантов)
0:1 - 0:2,0:3,0:4,0:5,0:6 (5 вариантов)
0:2 - 0:3,0:4,0:5,0:6 (4 варианта)
0:3 - 0:4,0:5,0:6 (3 варианта)
0:4 - 0:5,0:6 (2 варианта)
0:5 - 0:6 (1 вариант)
Всего: 6+5+4+3+2+1=21 вариант
По 21 варианту будет еще с 1, 2, 3, 4, 5 и 6.
То есть всего нас устраивает 7*21=147 вариантов
Искомая вероятность: 147/378=49/126=0,3(8) или приблизительно 0,39
Всего домино 28 штук. Количество способов извлечения по 2 штуки:
Составляются вместе:
0:0 - 0:1,0:2,0:3,0:4,0:5,0:6 (6 вариантов)
0:1 - 0:2,0:3,0:4,0:5,0:6 (5 вариантов)
0:2 - 0:3,0:4,0:5,0:6 (4 варианта)
0:3 - 0:4,0:5,0:6 (3 варианта)
0:4 - 0:5,0:6 (2 варианта)
0:5 - 0:6 (1 вариант)
Всего: 6+5+4+3+2+1=21 вариант
По 21 варианту будет еще с 1, 2, 3, 4, 5 и 6.
То есть всего нас устраивает 7*21=147 вариантов
Искомая вероятность: 147/378=49/126=0,3(8) или приблизительно 0,39
4
15.06.2011, 14:08
общий
это ответ
Здравствуйте, Владислав!
По правилу - должны совпасть числа на обоих костях.
А вероятность эта складывается из двух несовместных условных событий - если первый выпал дубль, то вероятность выпадения "правильной" второй кости - 6/27, если не дубль - то 12/27. Вероятность дубля - 7/28 Откуда по формуле полной вероятности (т.е. сумма вероятностей того что одна из костяшек дубль, и среди костяшек нет дубля)
p=7/28*6/27+(1-7/28)*(12/27)= 7/18
По правилу - должны совпасть числа на обоих костях.
А вероятность эта складывается из двух несовместных условных событий - если первый выпал дубль, то вероятность выпадения "правильной" второй кости - 6/27, если не дубль - то 12/27. Вероятность дубля - 7/28 Откуда по формуле полной вероятности (т.е. сумма вероятностей того что одна из костяшек дубль, и среди костяшек нет дубля)
p=7/28*6/27+(1-7/28)*(12/27)= 7/18
Об авторе:
to live is to die
to live is to die
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