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Консультация № 191131
12.06.2017, 12:28
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Вероятность быть замкнутым для i-того переключателя равна pi,i∈{1,2,3,4,5}. Переключатели работают независимо друг от друга. Какова вероятность того, что схема,показанная на рисунке, будет замкнута(течет ток от A к B)?
Заранее большое спасибо!
Вероятность быть замкнутым для i-того переключателя равна pi,i∈{1,2,3,4,5}. Переключатели работают независимо друг от друга. Какова вероятность того, что схема,показанная на рисунке, будет замкнута(течет ток от A к B)?
Заранее большое спасибо!
Обсуждение
12.06.2017, 13:04
общий
это ответ
Здравствуйте, nikolay.kireev1!
Цепь будет замкнута, если будут замкнуты переключатели 1 и 2 (или 3 и 4) и 5. Следовательно, искомая вероятность составляет
Цепь будет замкнута, если будут замкнуты переключатели 1 и 2 (или 3 и 4) и 5. Следовательно, искомая вероятность составляет
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
12.06.2017, 17:55
общий
Адресаты:
Почему не рассматриваются варианты, когда одновременно замкнуты переключатели 1235, 1245, 1345, 2345, 12345?
12.06.2017, 18:03
общий
Адресаты:
Для уточнения вопроса, достаточно минни-форума.
Звать всех модераторов- не обязательно.
Звать всех модераторов- не обязательно.
Об авторе:
Мне безразлично, что Вы думаете о обо мне, но я рад за Вас - Вы начали думать.
Мне безразлично, что Вы думаете о обо мне, но я рад за Вас - Вы начали думать.
12.06.2017, 18:51
общий
Адресаты:
nikolay.kireev1 Почему не рассматриваются варианты, когда одновременно замкнуты переключатели 1235, 1245, 1345, 2345, 12345?
По-видимому, эти варианты тоже нужно рассмотреть:
Учтём ещё и варианты
Тогда искомая вероятность составляет
Попробуйте довести расчёт до конца. Что у Вас получится?
Об авторе:
Facta loquuntur.
Facta loquuntur.
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