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Консультация № 138561
29.05.2008, 19:49
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Теория вероятностей.
По команде "огонь" одно из трех орудий стреляет по мишени. Вероятность попадания для орудий равна соответственно 0,8; 0,8; 0,6. Команда "Огонь" подается в два раза чаще первому орудию,чем второму и третьему по отдельности. Найти вероятность,что мишень окажется пораженной. Какова вероятность того,что мишень была поражена выстрелом из 3-го орудия?
По команде "огонь" одно из трех орудий стреляет по мишени. Вероятность попадания для орудий равна соответственно 0,8; 0,8; 0,6. Команда "Огонь" подается в два раза чаще первому орудию,чем второму и третьему по отдельности. Найти вероятность,что мишень окажется пораженной. Какова вероятность того,что мишень была поражена выстрелом из 3-го орудия?
Обсуждение
Неизвестный
30.05.2008, 11:58
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это ответ
Здравствуйте, Иванова Дарья Сергеевна!
Решение исходит из условия, что 1 орудие стреляет 2 раза, 2- один раз, 3- один раз.
Событие «поражение мишени» является обратным событием того, что в мишень не попадут вовсе.
A = 1- (не A1 * неА2 * неА3)
неА1 – из 1 орудия не попали,
неА2 – из 2 орудия не попали,
неА3 – из 3 орудия не попали,
неА1 = 1 орудие промазало с двух выстрелов
P(неА1)= q1*q2 = 0,2*0,2 = 0,04
P(неА2)= 0,2
P(неА3)= 0,4
P(А)= 1- 0,04*0,2*0,4 = 0,9968
Вероятность того, что мишень была поражена выстрелом из 3-го орудия = отношению вероятности попадания 3 орудия к ве-роятности поражения =
P(A3) = 0,6/0,9968 = 0,601..
Решение исходит из условия, что 1 орудие стреляет 2 раза, 2- один раз, 3- один раз.
Событие «поражение мишени» является обратным событием того, что в мишень не попадут вовсе.
A = 1- (не A1 * неА2 * неА3)
неА1 – из 1 орудия не попали,
неА2 – из 2 орудия не попали,
неА3 – из 3 орудия не попали,
неА1 = 1 орудие промазало с двух выстрелов
P(неА1)= q1*q2 = 0,2*0,2 = 0,04
P(неА2)= 0,2
P(неА3)= 0,4
P(А)= 1- 0,04*0,2*0,4 = 0,9968
Вероятность того, что мишень была поражена выстрелом из 3-го орудия = отношению вероятности попадания 3 орудия к ве-роятности поражения =
P(A3) = 0,6/0,9968 = 0,601..
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