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Sam and Pat are playing foosball. When they begin, the score is 0­:0. To make things interesting, i ...


Sam and Pat are playing foosball. When they begin, the score is 0­:0. To make things interesting, if the score ever becomes tied, it is instantly reset to 0:­0. Starting from any score, the probability that Sam gets the next point is 1/3 . The game stops when one player’s score reaches 2. What is the probability that Pat wins?



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