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Есть 2 задачки: 1) На заседании секции «Прикладная математика» было заслушано 25 студентов, выступивших с интересными докладами на студенческой научной конференции. Из них: 4 – по теории вероятности и 6 – по математической статистику. Решено выдвинуть 8 докладов для представления на расширенном заседании совета факультета. Участники проходят жеребьевку, причем все исходы равновероятны. Найти вероятность следующих событий: А = {на расширенное заседание попадут все доклады по теории вероятностей}, В={на расширенном заседании будет заслушано 2 доклада по теории вероятностей и 3- по математической статистике.
2)В лаборатории приготовлено для испытания на прочность 10 образцов. Вероятность того, что каждый из них будет подвергнут необратимой деформации(т.е. будет разрушен) при максимальной нагрузке, равна 0,4. Лаборант до основного испытания решил проверить образцы при уменьшенной в два раза нагрузке. Вероятность того, что образец при этом испытании будет разрушен, равна 0,1. Найти вероятность того, что после двух испытаний(предварительного и основного) хотя бы один образец будет разрушен.
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