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Здравствуйте! Прошу помощи в следующем вопросе: Имеется 5 окон, в которых появляются цифры от 1 до 9. На основе предыдущих испытаний определены вероятности появления цифр для каждого окна: для первого: р11, р12, р13...р19, для второго: р21, р22, р23...р29 ... для пятого: р51, р52,р53...р59 Нужен способ или методика для определения вероятности появления цифр 1...9 для следующего испытания.
И что, вероятности pij различны? Вам известны история развития теории вероятностей и закон больших чисел?
Существенно, являются ли числа, которые появляются в окне, случайными или псевдослучайными. В первом случае вероятность появления числа постоянна и не зависит от результатов предыдущих испытаний. Во втором случае имеет место повторяемость. После некоторого количества испытаний предшествующие результаты повторяются.
Ничто не ново под Луной, как говорится, и вряд ли стоит тратить время на поиск алгоритма крупного выигрыша. Казино потому и существуют, что такого алгоритма нет, хотя некоторые ушлые игроки добивались успехов.
Вероятность появления каждой из цифр от 1 до 9 в любом из окон в каждом испытании теоретически составляет 1/9. Фактическая вероятность при достаточно большом количестве испытаний будет мало отличаться от этой величины, причём тем меньше, чем большим будет количество испытаний.
Хорошо пишут об этом американские математики Ф. Мостеллер, Р. Рурке, Дж. Томас в книге "Вероятность" из популярной серии "Современная математика" на с. 36 - 37. Рекомендую. Прочитав эту книгу, Вы избавитесь от некоторых заблуждений.
В личном сообщении по пейджеру портала Вы написали:
Я не случайно рекомендовал Вам прочитать книгу "Вероятность". Приведенная Вами статистика не даёт достоверной базы для построения гипотез. Чтобы формулировать и опровергать гипотезы, количество испытаний должно быть значительно большим.
Игровой автомат реализует определённый алгоритм. Время, которое нужно затратить на анализ данных, чтобы восстановить неизвестный нам алгоритм, зависит от его сложности. Теоретически, располагая неограниченным временем, задачу в принципе можно решить так же, например, как и трудоёмкую задачу дешифрования. Вряд ли оправданно этим заниматься.
С уважением.
Об авторе:
Facta loquuntur.
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