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You should break it into disjoint (non-overlapping) cases, and find the probability that you win with each case, and then add them up: Case 1. Heart on turn Occurs 8/45 times and your probability of winning is 0 Case 2. 8 (not heart) on turn Occurs 3/45 times and your probability of winning is 6/44 (three 3's and three 5's) Case 3. 5 on turn Occurs ...



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