Unlike craps and roulette, where each throw or spin is independent of the one before it, in blackjack the probabilities for the next card depend on the cards that have Deen dealt so far (a) What is the probability that the first card dealt will be a face card (a jack, queen, or king)? (b) At what points in the deal can the probability of a face card be the same as it was at the start? (c) What is the probability that the next card dealt will be a face card if the 12 cards dealt so far have been J829K6Q9A3K4? (d) When might the probability of a face card be the same as it is for a full deck as the deal in part (c) continues? (e) What are the consequences of counting cards in a Las Vegas casino

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