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Консультация № 202924
25.05.2022, 16:54
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос: На полке стоит 100 книг, из которых выбрали случайный набор книг, а затем положили их обратно. На следующий день с этой полки снова взяли случайный набор книг. Найдите вероятность того, что во второй день не взяли ни одной книги из тех, что были взяты в первый
день.
день.
Обсуждение
25.05.2022, 22:32
общий
Адресаты:
Здравствуйте, perceivery!
Сообщите, пожалуйста, из какого источника Вы взяли эту задачу.
Сообщите, пожалуйста, из какого источника Вы взяли эту задачу.
Об авторе:
Facta loquuntur.
Facta loquuntur.
26.05.2022, 08:29
общий
это ответ
Здравствуйте, perceivery!
Предположим, что в первый день выбрали
книг, где 
тогда осталось 
книг, среди которых должны быть все книги, взятые во второй день. Если обозначить через 
количество книг, выбранных во второй день, то должны выполняться условия 
и 
Если последнее неравенство не выполняется, то во второй день будет взята хотя бы одна книга из числа взятых в первый день.
По-моему, из указанного выше следует, что искомая вероятность равна отношению числа способов взять во второй день книг так, что среди них нет хотя бы одной книги, взятой в первый день, к числу способов взять книг из всех имеющихся, то есть из 
книг:
Предположим, что в первый день выбрали
книг, где тогда осталось книг, среди которых должны быть все книги, взятые во второй день. Если обозначить через количество книг, выбранных во второй день, то должны выполняться условия и Если последнее неравенство не выполняется, то во второй день будет взята хотя бы одна книга из числа взятых в первый день.По-моему, из указанного выше следует, что искомая вероятность равна отношению числа способов взять во второй день
книг так, что среди них нет хотя бы одной книги, взятой в первый день, к числу способов взять книг из всех имеющихся, то есть из книг:
Об авторе:
Facta loquuntur.
Facta loquuntur.
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