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Консультация № 190286
12.12.2016, 19:45
0.00 руб.
13.12.2016, 09:10
0
1
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Опыт состоит в последовательном бросании трёх монет. Рассматриваемые события:
А - выпадение хотя бы одной цифры;
В - выпадение ровно одного герба.
Определить условную вероятность Р(В/А) события В при условии, что событие А произошло.
Заранее спасибо за ответы.
Опыт состоит в последовательном бросании трёх монет. Рассматриваемые события:
А - выпадение хотя бы одной цифры;
В - выпадение ровно одного герба.
Определить условную вероятность Р(В/А) события В при условии, что событие А произошло.
Заранее спасибо за ответы.
Обсуждение
13.12.2016, 09:39
общий
это ответ
Здравствуйте, kainnord!
Составим таблицу, в ячейках которой для каждой из трёх монет укажем вариант её выпадения: Г (герб) или Ц (цифра).
Из таблицы видно, что возможны восемь исходов опыта. В семи из них (номера исходов 2, 3, ..., 8) происходит событие A. При этом в трёх исходах из семи (номера исходов 4, 6, 7) происходит событие B. Тогда, как я понимаю, p(B|A)=3/7.
Составим таблицу, в ячейках которой для каждой из трёх монет укажем вариант её выпадения: Г (герб) или Ц (цифра).
[table]
[row][col]Номера исходов[/col][col]Первая монета[/col][col]Вторая монета[/col][col]Третья монета[/col][/row]
[row][col]1[/col][col]Г[/col][col]Г[/col][col]Г[/col][/row]
[row][col]2[/col][col]Г[/col][col]Г[/col][col]Ц[/col][/row]
[row][col]3[/col][col]Г[/col][col]Ц[/col][col]Г[/col][/row]
[row][col]4[/col][col]Г[/col][col]Ц[/col][col]Ц[/col][/row]
[row][col]5[/col][col]Ц[/col][col]Г[/col][col]Г[/col][/row]
[row][col]6[/col][col]Ц[/col][col]Г[/col][col]Ц[/col][/row]
[row][col]7[/col][col]Ц[/col][col]Ц[/col][col]Г[/col][/row]
[row][col]8[/col][col]Ц[/col][col]Ц[/col][col]Ц[/col][/row]
[/table]
[row][col]Номера исходов[/col][col]Первая монета[/col][col]Вторая монета[/col][col]Третья монета[/col][/row]
[row][col]1[/col][col]Г[/col][col]Г[/col][col]Г[/col][/row]
[row][col]2[/col][col]Г[/col][col]Г[/col][col]Ц[/col][/row]
[row][col]3[/col][col]Г[/col][col]Ц[/col][col]Г[/col][/row]
[row][col]4[/col][col]Г[/col][col]Ц[/col][col]Ц[/col][/row]
[row][col]5[/col][col]Ц[/col][col]Г[/col][col]Г[/col][/row]
[row][col]6[/col][col]Ц[/col][col]Г[/col][col]Ц[/col][/row]
[row][col]7[/col][col]Ц[/col][col]Ц[/col][col]Г[/col][/row]
[row][col]8[/col][col]Ц[/col][col]Ц[/col][col]Ц[/col][/row]
[/table]
Из таблицы видно, что возможны восемь исходов опыта. В семи из них (номера исходов 2, 3, ..., 8) происходит событие A. При этом в трёх исходах из семи (номера исходов 4, 6, 7) происходит событие B. Тогда, как я понимаю, p(B|A)=3/7.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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