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Консультация № 203215
05.10.2022, 22:01
0.00 руб.
01.06.2024, 06:34
0
1
1
Здравствуйте! Прошу помощи в следующем вопросе:
Школьник знает 25 из 35 вопросов коллоквиума по геометрии. Учитель задаёт ему вопросы до тех пор, пока не обнаруживает пробел в его знаниях. Найти вероятность того, что школьнику будут заданы три вопроса.
Школьник знает 25 из 35 вопросов коллоквиума по геометрии. Учитель задаёт ему вопросы до тех пор, пока не обнаруживает пробел в его знаниях. Найти вероятность того, что школьнику будут заданы три вопроса.
Обсуждение
07.10.2022, 13:45
общий
это ответ
Здравствуйте, svrvsvrv!
Событие A, состоящее в том, что школьнику будут заданы три вопроса, произойдёт в том случае, если школьник ответит на первые два вопроса и не ответит на третий вопрос.
Вероятность того, что школьник ответит на первый вопрос, составляет
Вероятность того, что после этого школьник ответит и на второй вопрос, составляет 
Вероятность того, что после этого школьник не ответит на третий вопрос, составляет 
Следовательно, искомая вероятность составляет
Событие A, состоящее в том, что школьнику будут заданы три вопроса, произойдёт в том случае, если школьник ответит на первые два вопроса и не ответит на третий вопрос.
Вероятность того, что школьник ответит на первый вопрос, составляет
Вероятность того, что после этого школьник ответит и на второй вопрос, составляет Вероятность того, что после этого школьник не ответит на третий вопрос, составляет Следовательно, искомая вероятность составляет
5
Большое спасибо. Разобрался.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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