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Консультация № 199579
11.11.2020, 23:11
0.00 руб.
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1
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос: При игре в кости один из участников ставит на четное число очков, а второй –
на то, что число очков будет делиться на 3 Выпадение шестерки не
засчитывается и происходит переброс. В случае выигрыша первый игрок получает
рубль. Сколько должен получать второй игрок для того, чтобы игра была честной?
на то, что число очков будет делиться на 3 Выпадение шестерки не
засчитывается и происходит переброс. В случае выигрыша первый игрок получает
рубль. Сколько должен получать второй игрок для того, чтобы игра была честной?
Обсуждение
16.11.2020, 17:09
общий
это ответ
Здравствуйте, Жукнавозник!
Из условия задачи не вполне ясно, сколько костей бросается. Предположим, что одна, тогда возможны пять равновероятных событий - выпадение значений от 1 до 5 ("шестёрка" по условию не учитывается). Из них два (2 и 4) дают выигрыш первому участнику, одно (3) - второму, остальные (1 и 5) не дают выигрыша никому. Следовательно, для первого участника вероятность выигрыша составит 0.4 (2 из 5), а средняя ожидаемая сумма выигрыша (мат.ожидание) - 0.4 рубля (0.4[$215$]1). Для второго участника вероятность выигрыша составит 0.2 (1 из 5) - вдвое меньше, поэтому, чтобы иметь ту же среднюю ожидаемую сумму выигрыша (0.4 рубля), он должен получать 2 рубля (0.4/0.2) - вдвое больше.
Из условия задачи не вполне ясно, сколько костей бросается. Предположим, что одна, тогда возможны пять равновероятных событий - выпадение значений от 1 до 5 ("шестёрка" по условию не учитывается). Из них два (2 и 4) дают выигрыш первому участнику, одно (3) - второму, остальные (1 и 5) не дают выигрыша никому. Следовательно, для первого участника вероятность выигрыша составит 0.4 (2 из 5), а средняя ожидаемая сумма выигрыша (мат.ожидание) - 0.4 рубля (0.4[$215$]1). Для второго участника вероятность выигрыша составит 0.2 (1 из 5) - вдвое меньше, поэтому, чтобы иметь ту же среднюю ожидаемую сумму выигрыша (0.4 рубля), он должен получать 2 рубля (0.4/0.2) - вдвое больше.
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