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Консультация № 194945
12.03.2019, 11:51
0.00 руб.
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1
Здравствуйте! У меня возникли сложности с таким вопросом:
В первой урне находится 5 белых и 4 черных шаров, а во
второй урне — 6 белых и 2 черных шаров. Из первой урны наугад
достали шар и переложили его во вторую урну, после чего случайным образом достали шар из второй урны. Вероятность того,
что из первой урны и впоследствии из второй урны достали по черныму шару, равна =?
В первой урне находится 5 белых и 4 черных шаров, а во
второй урне — 6 белых и 2 черных шаров. Из первой урны наугад
достали шар и переложили его во вторую урну, после чего случайным образом достали шар из второй урны. Вероятность того,
что из первой урны и впоследствии из второй урны достали по черныму шару, равна =?
Обсуждение
14.03.2019, 06:34
общий
это ответ
Здравствуйте, sidney!
По-моему, задачу можно решить так.
Вероятность того, что из первой урны достали и переложили во вторую урну чёрный шар, составляет p(H1)=4/9. Вероятность того, что после этого из второй урны достали чёрный шар, составляет p(A|H1)=3/9=1/3. Вероятность того, что из первой урны и впоследствии из второй урны достали по чёрному шару, составляет p(H1)*p(A|H1)=4/9*1/3=4/27.
По-моему, задачу можно решить так.
Вероятность того, что из первой урны достали и переложили во вторую урну чёрный шар, составляет p(H1)=4/9. Вероятность того, что после этого из второй урны достали чёрный шар, составляет p(A|H1)=3/9=1/3. Вероятность того, что из первой урны и впоследствии из второй урны достали по чёрному шару, составляет p(H1)*p(A|H1)=4/9*1/3=4/27.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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