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Консультация № 187563
08.10.2013, 21:15
79.10 руб.
0
1
1
Уважаемые эксперты! Пожалуйста, ответьте на вопрос: Вероятность того, что противник находится на обстреливаемом участке, равна 0,7, вероятность попадания в этом случае равна 0,6. Для поражения противника достаточно одного попадания. Найдите вероятность его поражения при двух выстрелах. Заранее благодарен.
Обсуждение
Неизвестный
08.10.2013, 21:23
общий
это ответ
Здравствуйте, Тимофеев Алексей Валентинович!
Вероятность попадания при одиночном выстреле вычисляется как 0,7 * 0,6 = 0,42, вероятность промаха 1 - 0,42 = 0,58.
Мы поразим противника не более чем за 2 выстрела, если
1) мы попадем при первом же выстреле (вероятность 0,42)
2) при первом выстреле мы промахнемся (вероятность 0,58), но попадем при втором (вероятность 0,42); вероятность такого исхода - 0,58*0,42=0,2436.
События из пунктов 1 и 2 несовместны, поэтому вероятность того, что случится одно из них, равна сумме найденных вероятностей: 0,42+0,2436=0,6636. Это и есть ответ на задачу.
Вероятность попадания при одиночном выстреле вычисляется как 0,7 * 0,6 = 0,42, вероятность промаха 1 - 0,42 = 0,58.
Мы поразим противника не более чем за 2 выстрела, если
1) мы попадем при первом же выстреле (вероятность 0,42)
2) при первом выстреле мы промахнемся (вероятность 0,58), но попадем при втором (вероятность 0,42); вероятность такого исхода - 0,58*0,42=0,2436.
События из пунктов 1 и 2 несовместны, поэтому вероятность того, что случится одно из них, равна сумме найденных вероятностей: 0,42+0,2436=0,6636. Это и есть ответ на задачу.
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