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Once I saw myself/the dealer get x cards in blackjack without busting. What is the probability of that?

April 26, 2017blackjack busting cards Dealer probability saw

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Once I saw myself/the dealer get x cards in blackjack without busting. What is the probability of that?

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Assuming a 6-deck game, where the dealer stands on soft 17, double after split allowed, surrender allowed, resplit aces allowed, player may resplit to four hands, a cut card, and only one player I get the following results. Each hand from a split hand is counted individually.