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Albert and Beatrice participate in a series of parties chess. Each game is independently won by Albert with probability p or by Beatrice (with probability
Albert and Beatrice participate in a series of parties chess. Each game is independently won by Albert with probability p or by Beatrice (with probability 1 - p). He and she stop playing when the difference between their total winning numbers is plus or minus 2. The player with the most wins wins the part.
(1) Find the probability that exactly 4 games will be played
(2) Find the probability that Albert wins.
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