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Консультация № 202282
11.03.2022, 02:13
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Здравствуйте! У меня возникли сложности с таким вопросом:
В первой коробке из 10 деталей 3 бракованные, а во второй из 14 – 5 бракованных. Из второй коробки в первую переложили две детали. Найти вероятность того, что две детали, взятые после этого наугад из первой коробки, будут бракованными.
В первой коробке из 10 деталей 3 бракованные, а во второй из 14 – 5 бракованных. Из второй коробки в первую переложили две детали. Найти вероятность того, что две детали, взятые после этого наугад из первой коробки, будут бракованными.
Обсуждение
13.03.2022, 07:13
общий
13.03.2022, 07:14
это ответ
Здравствуйте, svrvsvrv!
Пусть событие A состоит в том, что после перекладывания две детали, взятые наугад из первой коробки, будут бракованными.
Предположим, что из второй коробки в первую переложили две годные детали. Вероятность этого составляет
Тогда в первой коробке стало 12 деталей, из которых три бракованных, и вероятность события A составляет 
Предположим, что из второй коробки в первую переложили одну годную деталь и одну бракованную деталь. Вероятность этого составляет
Тогда в первой коробке стало 12 деталей, из которых четыре бракованных, и вероятность события A составляет 
Предположим, что из второй коробки в первую переложили две бракованные детали. Вероятность этого составляет
Тогда в первой коробке стало 12 деталей, из которых пять бракованных, и вероятность события A составляет 
Следовательно, вероятность события A составляет
Пусть событие A состоит в том, что после перекладывания две детали, взятые наугад из первой коробки, будут бракованными.
Предположим, что из второй коробки в первую переложили две годные детали. Вероятность этого составляет
Тогда в первой коробке стало 12 деталей, из которых три бракованных, и вероятность события A составляет Предположим, что из второй коробки в первую переложили одну годную деталь и одну бракованную деталь. Вероятность этого составляет
Тогда в первой коробке стало 12 деталей, из которых четыре бракованных, и вероятность события A составляет Предположим, что из второй коробки в первую переложили две бракованные детали. Вероятность этого составляет
Тогда в первой коробке стало 12 деталей, из которых пять бракованных, и вероятность события A составляет Следовательно, вероятность события A составляет
Об авторе:
Facta loquuntur.
Facta loquuntur.
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