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Консультация № 203260
12.10.2022, 19:39
0.00 руб.
0
2
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
В коробках находятся детали: в первой – 25, из них 18 стандартных; во
второй – 35, из них 28 стандартных. Из каждой коробки наугад берут по
одной детали. Найти вероятность того, что одна деталь окажется
нестандартной.
В коробках находятся детали: в первой – 25, из них 18 стандартных; во
второй – 35, из них 28 стандартных. Из каждой коробки наугад берут по
одной детали. Найти вероятность того, что одна деталь окажется
нестандартной.
Обсуждение
16.10.2022, 16:14
общий
Преподаватель подчеркнул, что нужна именно одна нестандартная деталь (а не хотя бы одна).
17.10.2022, 06:45
общий
17.10.2022, 17:34
это ответ
Здравствуйте, svrvsvrv!
Ровно одна деталь из двух, вынутых по одной из каждой коробки, окажется нестандартной (событие A), если произойдёт одно из двух следующих событий:
1) из первой коробки вынута стандартная деталь и из второй коробки вынута нестандартная деталь;
2) из первой коробки вынута нестандартная деталь и из второй коробки вынута стандартная деталь.
В первом случае вероятность события A равна
во втором случае -- 
Значит,
-- искомая вероятность.
Ровно одна деталь из двух, вынутых по одной из каждой коробки, окажется нестандартной (событие A), если произойдёт одно из двух следующих событий:
1) из первой коробки вынута стандартная деталь и из второй коробки вынута нестандартная деталь;
2) из первой коробки вынута нестандартная деталь и из второй коробки вынута стандартная деталь.
В первом случае вероятность события A равна
во втором случае -- Значит,-- искомая вероятность.
5
Спасибо Вам большое!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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