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Консультация № 137078
16.05.2008, 15:14
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Теория вероятности.
Комбинаторика.
Задача.
На складе 12 новых теодолитов. В первую неделю двум геодезистам выдано по 2 теодолита. После истечения недели инструменты возвращены на склад. Какова вероятность того, что во второй неделе эта же бригада получит четыре новых теодолита, если они выбираются случайно.
Приложение:
По возможности напишите решение задачи . . . Спасибо.
Комбинаторика.
Задача.
На складе 12 новых теодолитов. В первую неделю двум геодезистам выдано по 2 теодолита. После истечения недели инструменты возвращены на склад. Какова вероятность того, что во второй неделе эта же бригада получит четыре новых теодолита, если они выбираются случайно.
Приложение:
По возможности напишите решение задачи . . . Спасибо.
Обсуждение
Неизвестный
16.05.2008, 15:34
общий
это ответ
Здравствуйте, Квашук Роман Борисович!
Геодезистам выдано 4 теодолита (двум по 2).
После возврата теодолитов на складе уже будет только 8 новых и 4 не новых прибора.
Это задача на Гипергеометрическое распределение – вероятность выбрать из 8 новых 4 , а 4 не новых – 0.
P = (С(8,4)*С(4,0)/С(12,4) = 0,141414
Геодезистам выдано 4 теодолита (двум по 2).
После возврата теодолитов на складе уже будет только 8 новых и 4 не новых прибора.
Это задача на Гипергеометрическое распределение – вероятность выбрать из 8 новых 4 , а 4 не новых – 0.
P = (С(8,4)*С(4,0)/С(12,4) = 0,141414
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