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Консультация № 203056
30.06.2022, 13:45
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Вероятность попадания в цель при одном выстреле из орудия
равна 0,9. Вероятность поражения цели при k попаданиях равна 1-0,1^k. Произведено два выстрела. Найти вероятность поражения цели.
Вероятность попадания в цель при одном выстреле из орудия
равна 0,9. Вероятность поражения цели при k попаданиях равна 1-0,1^k. Произведено два выстрела. Найти вероятность поражения цели.
Обсуждение
01.07.2022, 06:42
общий
это ответ
Здравствуйте, paxomgeorge!
Пусть
-- событие, состоящее в том, что цель поражена.
Вероятность
того, что при двух выстрелах не будет попаданий, равна 
При этом вероятность поражения цели равна 
Вероятность
того, что при двух выстрелах будет одно попадание, равна 
При этом вероятность поражения цели равна 
Вероятность
того, что при двух выстрелах будут два попадания, равна 
При этом вероятность поражения цели равна 
Искомая вероятность составляет
Пусть
-- событие, состоящее в том, что цель поражена.Вероятность
того, что при двух выстрелах не будет попаданий, равна При этом вероятность поражения цели равна Вероятность
того, что при двух выстрелах будет одно попадание, равна При этом вероятность поражения цели равна Вероятность
того, что при двух выстрелах будут два попадания, равна При этом вероятность поражения цели равна Искомая вероятность составляет
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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