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Консультация № 175118

10.12.2009, 22:32

35.00 руб.

0 1 1

Образование

Партия из 10 деталей содержит 7 стандартных и 3 нестандартные детали. Для контроля отбираются 2. Какова вероятность того, что обе детали стандартные?

Обсуждение

Неизвестный

10.12.2009, 22:57

общий

это ответ

Здравствуйте, Сласти.
Найдем число способ выбора 2 стандартных деталей
Оно равно числу сочетаний из 7 по 2 (так как всего 7 стандартных деталей) = С₇²
Для того, чтобы определить вероятность нужно узнать общее число способов выбора двух деталей из партии
оно равно числу сочетаний из 10 по 2 = С₁₀²
Теперь найдем их отношение=
= С₇² / С₁₀²= [7!/(2!*5!)]/[10!/(2!*8!)]=[6*7/2] / [9*10/2] = [6*7]/[9*10]=7/15 или ~ 46.67%

5

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