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Консультация № 195783
01.06.2019, 18:32
0.00 руб.
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:На семи карточках написаны буквы А,А,А,Б,Б,Н,Р.Карточки перемешаны и перевернуты.Какова вероятность того,что при случайном отборе и расположении трех из этих карточек в ряд будет составлено слово "БАР"? 
Обсуждение
03.06.2019, 10:12
общий
это ответ
Здравствуйте, ban.ivanova!
Обозначим события так: A -- выбрана буква Б; B -- выбрана буква A; С -- выбрана буква Р; D -- составлено слово БАР. По теореме умножения вероятностей [1, с. 38 -- 39]
Литература
1. Письменный Д. Т. Конспект лекций по теории вероятностей, математической статистике и случайным процессам. -- М.: Айрис-пресс, 2007. -- 288 с.
Обозначим события так: A -- выбрана буква Б; B -- выбрана буква A; С -- выбрана буква Р; D -- составлено слово БАР. По теореме умножения вероятностей [1, с. 38 -- 39]
P(D)=P(A)*P(B|A)*P(C|AB)=3/7*2/6*1/5=3/7*1/3*1/5=1/35[$8776$]0,0286.
Литература
1. Письменный Д. Т. Конспект лекций по теории вероятностей, математической статистике и случайным процессам. -- М.: Айрис-пресс, 2007. -- 288 с.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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