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Консультация № 202281
11.03.2022, 02:10
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Здравствуйте! Прошу помощи в следующем вопросе:
В отделе А института работают 5 инженеров и 3 старших инженера, а в отделе В – 8 инженеров и 2 старших инженера. Из отдела А в отдел В перевели одного сотрудника. Найти вероятность того, что 3 сотрудника, наугад выбранных из нового состава отдела А, являются старшими инженерами.
В отделе А института работают 5 инженеров и 3 старших инженера, а в отделе В – 8 инженеров и 2 старших инженера. Из отдела А в отдел В перевели одного сотрудника. Найти вероятность того, что 3 сотрудника, наугад выбранных из нового состава отдела А, являются старшими инженерами.
Обсуждение
12.03.2022, 19:05
общий
это ответ
Здравствуйте, svrvsvrv!
Пусть событие C состоит в том, что три сотрудника, наугад выбранных из нового состава отдела A, являются старшими инженерами.
Предположим, что из отдела A в отдел B перевели одного инженера (гипотеза
). Вероятность этого равна 
Тогда в отделе A стало четыре инженера и три старших инженера. При этом вероятность события C составляет 
Предположим, что из отдела A в отдел B перевели одного старшего инженера (гипотеза
). Вероятность этого равна 
Тогда в отделе A стало пять инженеров и два старших инженера. При этом вероятность события C составляет 
Значит, вероятность события C составляет
Пусть событие C состоит в том, что три сотрудника, наугад выбранных из нового состава отдела A, являются старшими инженерами.
Предположим, что из отдела A в отдел B перевели одного инженера (гипотеза
). Вероятность этого равна Тогда в отделе A стало четыре инженера и три старших инженера. При этом вероятность события C составляет Предположим, что из отдела A в отдел B перевели одного старшего инженера (гипотеза
). Вероятность этого равна Тогда в отделе A стало пять инженеров и два старших инженера. При этом вероятность события C составляет Значит, вероятность события C составляет
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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