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Консультация № 137052
16.05.2008, 11:10
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Теория вероятности.
Комбинаторика.
Задача
На шахматную доску наугад ставят 2 ладьи - белую и черную. Какова вероятность того, что они не побьют друг друга?
Приложение:
По возможности полное решение . . . . .
Комбинаторика.
Задача
На шахматную доску наугад ставят 2 ладьи - белую и черную. Какова вероятность того, что они не побьют друг друга?
Приложение:
По возможности полное решение . . . . .
Обсуждение
16.05.2008, 13:09
общий
это ответ
Здравствуйте, Квашук Роман Борисович!
Как бы н поставили белую ладью, на доске будет 7 полей в вертикальном ряду и 7 полей в горизонтальном ряду, котрые она бьет; на этих же полях ее будет бить черная ладья, если ее туда поставить.
Всего на доске 64 поля, одно из них займет белая ладья, то есть черную можно поставить на одну из 63 клеток. На 14 из них ладьи побьют друг друга, а на оставшихся 49 - не побьют. Искомая вероятность равна
49/63 = 7/9 = 0.778.
Как бы н поставили белую ладью, на доске будет 7 полей в вертикальном ряду и 7 полей в горизонтальном ряду, котрые она бьет; на этих же полях ее будет бить черная ладья, если ее туда поставить.
Всего на доске 64 поля, одно из них займет белая ладья, то есть черную можно поставить на одну из 63 клеток. На 14 из них ладьи побьют друг друга, а на оставшихся 49 - не побьют. Искомая вероятность равна
49/63 = 7/9 = 0.778.
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