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Do it correctly please and don't copy anyone works 2. (8 pts) University A and B play a series of games, with the first team

Do it correctly please and don't copy anyone works

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2. (8 pts) University A and B play a series of games, with the first team to win 3 games being declared the winner of the series. Suppose that University B independently wins each game with probability 0.45. Find the conditional probability that University A wins the series given that it wins the first game. 3. (8 pts) Someone is waiting for E train in Jamaica Station. The probability that the next train is E train is 0.25. If the first two trains are not E train, what is the probability that E train will come after the first 5 trains

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