Версия для печати темы

Автор: Кактусёна 8.5.2007, 4:38

Студент подготовил 60 вопросов из 70, входящ. в экзаменационные билеты. Какова вероятность того, что вытянутый билет, содержащий 2 вопроса состоит из подготовленных?

Может быть задача и легкая, но я чего-то торможу. Подскажите, пожалуйста. Заранее спасибо.

Автор: Ботаник 8.5.2007, 5:17

берём 1- вопрос.
Р(знает 1-й) = 60/70
после этого остаются (70 - 1) = 69 вопросов, из которых студент знает (60 - 1) = 59. Теперь аналогично первому считаете Р(знает 2-й) и потом по формуле умножения вероятностей находите ответ.

Автор: Кактусёна 8.5.2007, 6:11

Это как? Извините, не поняла. Все 60 вопросов так просчитывать?

Автор: Руководитель проекта 8.5.2007, 9:41

Может так будет понятнее. Общее число элементарных исходов - N=С(из 70 по 2), число благоприятствующих исходов - M=С(из 60 по 2). Искомая вероятность - Р=M/N.
Здесь C(из n по m)=n!/(m!*(n-m)!) - число сочетаний.

Автор: Кактусёна 8.5.2007, 9:51

Ой, спасибо, так намного яснее.
С(2;60)=1770
С(2;70)=2415
Р=1770/2415=0,733...
Это и есть ответ?

Автор: Ботаник 8.5.2007, 10:27

да

Автор: Кактусёна 8.5.2007, 10:30

А если нам нужно найти вероятность того, что билет будет содержать 2 неподготовленных вопроса? То считать так же, но число благоприятных исходов = С (из 70 по 10)? Я правильно поняла?

Автор: venja 8.5.2007, 11:54

С (из 10 по 2)

Автор: Кактусёна 8.5.2007, 12:21

Спасибо, что бы я без вас делала!

Автор: Руководитель проекта 8.5.2007, 13:26

Решали бы самостоятельно

Автор: Ботаник 8.5.2007, 17:39

"Спасибо" в стакан не нальёшь

Автор: Руководитель проекта 8.5.2007, 18:39

Вашего заработка не хватает, чтобы наполнить стакан? Я удивлен
Вы сами понимаете, что здесь мы работаем (отвечаем на вопросы) именно «за спасибо».

Автор: venja 9.5.2007, 9:24

Р.П.

Опять пожалел, что не умею изображать аплодисменты.

P.S. "Спасибо" тоже не всегда получаем.

Автор: A_nn 9.5.2007, 14:58

Спасибо спасибо спасибо спасибо спасибо
Это Вам аванс. Сдачи не надо

Автор: venja 9.5.2007, 17:05

А вот от Вас я ждал большего

Автор: A_nn 9.5.2007, 17:24

Ну вот.... На Вас не угодишь...

Автор: Ботаник 9.5.2007, 17:56

Это ни чего, что я "вы" с маленькой буквы пишу в сообщениях?

Автор: A_nn 9.5.2007, 18:06

Да ничего, вот если бы вы "ты" с большой писали - было бы странно.

Автор: Руководитель проекта 9.5.2007, 18:57

Издержки производства...

Автор: chocolet1 23.11.2022, 1:10

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