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Consider a slot machine with 3 wheels (reels). Each reel has 10 slots, 0, 1, ..., 9. Suppose you have a win if the 3

Consider a slot machine with 3 wheels (reels). Each reel has 10 slots, 0, 1, ..., 9. Suppose you have a win if the 3 slots match (0-0-0, 1-1-1, ..., 9-9-9). You decided to play until you win 3 times. What is the probability that you will walk out after exactly 210 tries? (round the answer to four decimals)

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