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Консультация № 193112
18.04.2018, 19:22
0.00 руб.
18.04.2018, 19:28
0
3
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Одновременно подбрасывают монету и игральную кость. Если на монете выпал
герб, то выигрыш составляет 0 очков, а если решка - 2 очка. Эти очки суммируются с
очками на кубике. Найти вероятность того, что суммарный выигрыш на кости и
монете составит четыре очка.
Одновременно подбрасывают монету и игральную кость. Если на монете выпал
герб, то выигрыш составляет 0 очков, а если решка - 2 очка. Эти очки суммируются с
очками на кубике. Найти вероятность того, что суммарный выигрыш на кости и
монете составит четыре очка.
Обсуждение
18.04.2018, 20:46
общий
Адресаты:
У Вас есть собственные соображения по решению этой задачи?
Об авторе:
Facta loquuntur.
Facta loquuntur.
19.04.2018, 09:58
общий
это ответ
Здравствуйте, lenyya97.97@mail.ru!
Суммарный выигрыш составит четыре очка, если на кости выпадет 4 и на монете герб или на кости выпадет 2 и на монете решка.
Вероятность того, что на кости выпадет 4, составляет 1/6. Вероятность того, что на монете выпадет герб, составляет 1/2.
Вероятность того, что на кости выпадет 2, составляет 1/6. Вероятность того, что на монете выпадет решка, составляет 1/2.
Значит, вероятность того, что суммарный выигрыш на кости и монете составит четыре очка, равна
Суммарный выигрыш составит четыре очка, если на кости выпадет 4 и на монете герб или на кости выпадет 2 и на монете решка.
Вероятность того, что на кости выпадет 4, составляет 1/6. Вероятность того, что на монете выпадет герб, составляет 1/2.
Вероятность того, что на кости выпадет 2, составляет 1/6. Вероятность того, что на монете выпадет решка, составляет 1/2.
Значит, вероятность того, что суммарный выигрыш на кости и монете составит четыре очка, равна
1/6*1/2+1/6*1/2=1/12+1/12=2/12=1/6.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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