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Консультация № 69915
07.01.2007, 20:50
0.00 руб.
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Здравствуйте! С праздником!
Помогите решить задачу по теории вероятности:
На двух карточках написана буква А, на трёх буква В и на четырёх буква З.
Последовательно вынимаются и кладутся слева направо четыре карточки.
Какова вероятность того что получится слово ВАЗА?
Помогите решить задачу по теории вероятности:
На двух карточках написана буква А, на трёх буква В и на четырёх буква З.
Последовательно вынимаются и кладутся слева направо четыре карточки.
Какова вероятность того что получится слово ВАЗА?
Обсуждение
Неизвестный
07.01.2007, 22:10
общий
это ответ
Здравствуйте, Rewer8!
Насколько я поняла то обратно карты не кладутся..
Всего 9 карт. Для начала нужно выяснить вероятность первой буквы В. Это 3 из 9 т.е. одна третья. Осталось 8 карт, из них В только 2 штуки. Вторая буква А - её шанс 2 из 8 т.е. 1\4. Теперь З: 4 из 7 - 4\7. Снова В: 2 из 6 - 1\3. Переумножаем всё это (1\3*1\4*4\7*1\3) и получаем 1\27 в процентах приблизительно 3,7 %.
А вот решение если карты кладут всё-таки обратно:
В: 3 из 9 - 1\3
А: 2 из 9 - 2\9
З: 4 из 9 - 4\9
А: 2 из 9 - 2\9
всё умножаем и получаем примерно 0,37%.
Приложение:
То что 3,7% в 10 раз больше 0,37% обычное совпадение!
Насколько я поняла то обратно карты не кладутся..
Всего 9 карт. Для начала нужно выяснить вероятность первой буквы В. Это 3 из 9 т.е. одна третья. Осталось 8 карт, из них В только 2 штуки. Вторая буква А - её шанс 2 из 8 т.е. 1\4. Теперь З: 4 из 7 - 4\7. Снова В: 2 из 6 - 1\3. Переумножаем всё это (1\3*1\4*4\7*1\3) и получаем 1\27 в процентах приблизительно 3,7 %.
А вот решение если карты кладут всё-таки обратно:
В: 3 из 9 - 1\3
А: 2 из 9 - 2\9
З: 4 из 9 - 4\9
А: 2 из 9 - 2\9
всё умножаем и получаем примерно 0,37%.
Приложение:
То что 3,7% в 10 раз больше 0,37% обычное совпадение!
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