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Консультация № 202389
21.03.2022, 03:14
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6
1
Здравствуйте! У меня возникли сложности с таким вопросом:
В каждой из 1000 урн находится 5000 черных и 5000 белых шаров. Из каждой урны извлекаются без возвращения 3 шара. Чему равна вероятность того, что число урн, из которых извлекли одноцветные шары, заключены между 200 и 310?
В каждой из 1000 урн находится 5000 черных и 5000 белых шаров. Из каждой урны извлекаются без возвращения 3 шара. Чему равна вероятность того, что число урн, из которых извлекли одноцветные шары, заключены между 200 и 310?
Обсуждение
22.03.2022, 21:38
общий
24.03.2022, 16:51
это ответ
Здравствуйте, svrvsvrv!
Вычислим сначала вероятность
того, что три извлечённых из одной урны шара имеют один цвет:
Тогда
Воспользуемся интегральной теоремой Лапласа при
Тогда получим
-- искомая вероятность.
Вычислим сначала вероятность
того, что три извлечённых из одной урны шара имеют один цвет:Тогда
Воспользуемся интегральной теоремой Лапласа при
Тогда получим-- искомая вероятность.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
24.03.2022, 13:55
общий
Адресаты:
Скажите, пожалуйста: почему мы берём число сочетаний из 500, а не из 5000?
24.03.2022, 14:04
общий
Адресаты:
svrvsvrv Скажите, пожалуйста: почему мы берём число сочетаний из 500, а не из 5000?
Из-за моего плохого зрения. Прошу извинить! Если Вы не возражаете, то я исправлю своё решение вечером после работы.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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