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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос: В ящике 30 деталей, среди которых 25 стандартных. Наудачу извлекаются 4 детали. Найти вероятность того, что хотя бы две детали стандартные.
Извлечь четыре детали из тридцати можно способами.
Извлечь четыре детали из тридцати так, чтобы среди них были две стандартные и две нестандартные, можно способов.
Извлечь четыре детали из тридцати так, чтобы среди них были три стандартные и одна нестандартная, можно способами.
Извлечь четыре детали из тридцати так, чтобы среди них были четыре стандартные, можно способами.
Следовательно, искомая вероятность составляет
Этот ответ можно было получить иначе (и быстрее), если сначала вычислить вероятность того, что среди четырёх извлеченных деталей содержится меньше двух стандартных. Затем полученное число вычесть из единицы:
Чаще, однако, приходится выполнять расчёт двумя способами, чтобы уменьшить вероятность ошибки.
Об авторе:
Facta loquuntur.
Форма ответа
Отправка постов/ответов доступна только зарегистрированным и подтвержденным пользователям.
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antonksyusha 
способами.
способов.
способами.
способами.
