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Joe and John decide to have a chess match. The probability of Joe winning is 0.4. Each time Joe wins, he gains confidence and the

Joe and John decide to have a chess match. The probability of Joe winning is 0.4. Each time Joe wins, he gains confidence and the probability of winning the next game increases by 0.1. Each time he loses, his confidence goes down and his probability of winning the next game decreases by 0.05. Determine the probability that in a three-game match, Joe wins at least two games.

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