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Задать вопрос экспертам

Консультация № 194137

08.12.2018, 22:27

0.00 руб.

0 1 1

Образование

Здравствуйте! Прошу помощи в следующем вопросе:

В магазин одновременно поступают изделия из трёх заводов: 30% с первого, 50% со второго и 20% с третьего. Среди изделий первого завода 80% первосортных, второго - 90%, третьего - 70%. Куплено одно изделие. Определить вероятность того, что оно первосортное.

Обсуждение

давно

Гордиенко Андрей Владимирович

Мастер-Эксперт
17387
18345

11.12.2018, 22:29

общий

это ответ

Здравствуйте, peach2000!

Обозначим

-- событие, состоящее в том, что изделие первосортное;

-- событие, состоящее в том, что изделие поступило с первого завода;

-- событие, состоящее в том, что изделие поступило со второго завода;

-- событие, состоящее в том, что изделие поступило с третьего завода.
Согласно условию задачи, имеем

Тогда по формуле полной вероятности

5

Об авторе:
Facta loquuntur.

Форма ответа

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