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Консультация № 179910
11.09.2010, 18:37
41.49 руб.
0
4
3
Помогите решить, пожалуйста!
Найти вероятность того, что 30 студентов одной группы родились в один день.
Найти вероятность того, что 30 студентов одной группы родились в один день.
Обсуждение
Неизвестный
11.09.2010, 19:00
общий
12.09.2010, 10:36
это ответ
Здравствуйте, alya_koshka.
Вероятность рождения произвольного студента в в произвольный день= 1/365
Вероятность рождения студента в свой день рождения = 1
Общая вероятность равна произведению вероятностей. 1*1/365*1/365*....*1/365 (29 раз) = 4,9374979777679555302426563902974e-75
Вероятность рождения произвольного студента в в произвольный день= 1/365
Вероятность рождения студента в свой день рождения = 1
Общая вероятность равна произведению вероятностей. 1*1/365*1/365*....*1/365 (29 раз) = 4,9374979777679555302426563902974e-75
Неизвестный
11.09.2010, 20:47
общий
это ответ
Здравствуйте, alya_koshka.
Будем исходить из определения, что в году 365 дней.
Вероятность того, что все студенты родились, к примеру, 1 января - (1/365)**30.
Вероятность того, что все студенты родились в один день, т.е либо 1 января, либо 2 января,… , либо 31 декабря. P = 365*((1/365)**30) = 4,9375E-75
Будем исходить из определения, что в году 365 дней.
Вероятность того, что все студенты родились, к примеру, 1 января - (1/365)**30.
Вероятность того, что все студенты родились в один день, т.е либо 1 января, либо 2 января,… , либо 31 декабря. P = 365*((1/365)**30) = 4,9375E-75
Неизвестный
13.09.2010, 09:48
общий
это ответ
Здравствуйте, alya_koshka.
Можно немного уточнить предыдущие ответы учитывая високосность года.
Вероятность, что произвольный студент родился 29 февраля равна:
Вероятность родиться студенту в любой другой конкретный день, например 1 января, равна:
Используя формулу полной вероятности получаем искомый результат:
Ответ: 4.8371e-75
Можно немного уточнить предыдущие ответы учитывая високосность года.
Вероятность, что произвольный студент родился 29 февраля равна:
Вероятность родиться студенту в любой другой конкретный день, например 1 января, равна:
Используя формулу полной вероятности получаем искомый результат:
Ответ: 4.8371e-75
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