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Three cards are drawn one after another from a standard deck. What is the probability their ranks come out in non-decreasing order (ties allowed)?

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Three cards drawn from a deck all have different ranks. What is the probability they came out in ascending order, and how much would you bet on your answer?Thirteen cards are dealt from a standard deck. What is the probability that none is an ace?Three cards are drawn from a standard 52-card deck, with ranks running from ace = 1 to king = 13. What is the probability that every two of the three ranks differ by at least 2?

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