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Консультация № 190603
27.02.2017, 16:11
0.00 руб.
27.02.2017, 18:16
0
2
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
В ящике 4 красных и 3 белых шара. Один шар укатился. После этого из ящика вынимают 2 шара. Реализовалось событие А: вынут по крайней мере один белый шар. Найти вероятность того, что укатился белый шар.
В ящике 4 красных и 3 белых шара. Один шар укатился. После этого из ящика вынимают 2 шара. Реализовалось событие А: вынут по крайней мере один белый шар. Найти вероятность того, что укатился белый шар.
Обсуждение
27.02.2017, 18:17
общий
Обратите, пожалуйста, внимание на данную консультацию, перенесённую из другого раздела.
Об авторе:
Facta loquuntur.
Facta loquuntur.
28.02.2017, 09:13
общий
это ответ
Здравствуйте, 30061501!
Смотрите ниже краткое решение задачи, в котором опущены рассуждения и выкладки.
Сформулируем следующие гипотезы:
- укатился красный шар; тогда 
- укатился белый шар; тогда 
События, соответствующие этим гипотезам, образуют полную группу.
Если событие
заключается в том, что вынут по крайней мере один белый шар, то противоположное событие 
заключается в том, что оба вынутых шара красные. При этом
По формуле полной вероятности
и по формуле Байеса
Ответ: вероятность того, что укатился белый шар, равна
В Ваших интересах самостоятельно воспроизвести выкладки, чтобы избежать возможных ошибок, и разобраться в логике решения задачи. Если у Вас возникнут вопросы, то задайте их, пожалуйста, в мини-форуме данной консультации.
Смотрите ниже краткое решение задачи, в котором опущены рассуждения и выкладки.
Сформулируем следующие гипотезы:
- укатился красный шар; тогда - укатился белый шар; тогда События, соответствующие этим гипотезам, образуют полную группу.
Если событие
заключается в том, что вынут по крайней мере один белый шар, то противоположное событие заключается в том, что оба вынутых шара красные. При этомПо формуле полной вероятности
и по формуле Байеса
Ответ: вероятность того, что укатился белый шар, равна
В Ваших интересах самостоятельно воспроизвести выкладки, чтобы избежать возможных ошибок, и разобраться в логике решения задачи. Если у Вас возникнут вопросы, то задайте их, пожалуйста, в мини-форуме данной консультации.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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