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Здравствуйте помогите решить две задачи.(желательно по подробней) 1)В коробке 12 карандашей 3 синих 5 красный 4 зеленых, найти вероятность вытаскивания трех карандашей: а)одного цвета? б)разных цветов? 2)В первом цеху производиться 40% всех деталей во втором цеху производится 60% всех деталей в 1 цеху 90% всех деталей- стандартные. во втором цеху 95% деталей стандартные. Найти вероятность того, что произвольно взятая деталь будет стандартной. Спасибо!
Вероятность того, что произвольная деталь будет из первого цеха, равна 0.4. При этом вероятность того, что она стандартная - 0.9. Перемножая эти числа, получим вероятность того, что мы взяли стандартную деталь из первого цеха. Аналогично со вторым. Потом складываем эти числа и получаем вероятность того, что мы взяли стандартную деталь.
0.4*0.9+0.6*0.95=0.36+0.57=0.93 Вероятность равна 93%
5
Спасибо
Неизвестный
26.09.2010, 15:12
общий
ой забыл 3 карандаша вытаскиваются
Неизвестный
26.09.2010, 16:13
общий
Спасибо большое за ответы
Неизвестный
28.09.2010, 15:39
общий
02.10.2010, 02:24
это ответ
Здравствуйте, Akum2008! Возможно правильно такое решение: б) вероятность, что они все разных цветов. Благоприятных исходов – 12*3*5*4 = 720 Всего исходов – сочетания из 240 по 3 = C(24,3) = 24!/(3!*21!) = 2024 Вероятность P = 720/2024 = 0,355731225
Решение неверное. Как правильно указал в мини-форуме вопроса Lamed, профессионал: Вероятность, что они все разных цветов. (т.е. красный, синий, зеленый) Благоприятных исходов – 5*4*3=60 Всего исходов – C(12,3) = 12!/(3!*9!) = 12*11*10/6=220 Вероятность P = 60/220 = 3/11
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