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Консультация № 195556
07.05.2019, 17:59
0.00 руб.
07.05.2019, 20:10
0
3
1
Уважаемые эксперты! Пожалуйста, ответьте на вопрос: 2. В ящике находится 25 теннисных мячей, среди которых - 9 новых. Для первой игры наугад берётся 3 мяча, после игры они возвращаются в ящик. Для второй игры опять наугад берётся 3 мяча. Найти вероятность того, что все мячи, взятые для второй игры, были новыми.
Обсуждение
08.05.2019, 21:17
общий
Адресаты:
По-видимому, надо полагать, что если среди мячей, использованных для первой игры, были новые, то для второй игры они уже не будут новыми?
Об авторе:
Facta loquuntur.
Facta loquuntur.
11.05.2019, 23:51
общий
это ответ
Здравствуйте, V1357!
Первоначально в коробке находились девять новых и 16 старых мячей.
Пусть
-- событие, состоящее в том, что из коробки для второй игры взяли три новых мяча. Введём следующие гипотезы:
-
-- для первой игры взяли ноль новых мячей, после игры в коробке по-прежнему будет девять новых и 16 старых мячей; вероятность этого 
-
-- для первой игры взяли один новый мяч, после игры в коробке станет восемь новых и 17 старых мячей; вероятность этого 
-
-- для первой игры взяли два новых мяча, после игры в коробке станет семь новых и 18 старых мячей; вероятность этого 
-
-- для первой игры взяли три новых мяча, после игры в коробке станет шесть новых и 19 старых мячей; вероятность этого 
Вычислим соответствующие этим гипотезам условные вероятности события
Средняя вероятность события составляет
Первоначально в коробке находились девять новых и 16 старых мячей.
Пусть
-- событие, состоящее в том, что из коробки для второй игры взяли три новых мяча. Введём следующие гипотезы:-
-- для первой игры взяли ноль новых мячей, после игры в коробке по-прежнему будет девять новых и 16 старых мячей; вероятность этого -
-- для первой игры взяли один новый мяч, после игры в коробке станет восемь новых и 17 старых мячей; вероятность этого -
-- для первой игры взяли два новых мяча, после игры в коробке станет семь новых и 18 старых мячей; вероятность этого -
-- для первой игры взяли три новых мяча, после игры в коробке станет шесть новых и 19 старых мячей; вероятность этого Вычислим соответствующие этим гипотезам условные вероятности события
Средняя вероятность события
составляет
Об авторе:
Facta loquuntur.
Facta loquuntur.
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