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Задать вопрос экспертам

Консультация № 136445

12.05.2008, 11:13

0.00 руб.

0 1 1

Образование

Здравствуйте помогите пожалуйста решить задачу.
решить задачи по теории вероятности используя формулу байеса
Студентфы считают, что из 50 экзаменационных билнтов 20 являются хорошими.Петя и Маша по очереди тянут по одному билету. Найти вероятность того что: а) Маше достался хороший билет б) им обоим достались хорошие билеты.

Мне можно просто написать обозначения, что за какую букву, принцип решения я знаю.

Обсуждение

Неизвестный

14.05.2008, 09:37

общий

это ответ

Здравствуйте, Алевтина Гусева Александровна!

Эту задачу можно решить через условные вероятности.
a)
Обозначим события:
Ах – Петя взял хороший билет, Вх - Маша взяла хороший билет.
Ап – Петя взял плохой билет, Вх - Маша взяла хороший билет.

А - Маша взяла хороший билет.

P(A) = P(Aх)* P(Bx/Aх) + P(Aп)* P(Bx/Aп) = 20/50*19/49 + 30/50*20/49 =( 20*19+30*20 )/(50*49) =0,4

б)
Обозначим события:
Ах – Петя взял хороший билет, Вх - Маша взяла хороший билет.

А – Оба взяли хорошие билеты.

P(A) = P(Aх)* P(Bx/Aх) = 20/50*19/49 = 0,155..

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