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Each player is dealt 2 cards face down, called hole cards, from an ordinary deck of 52 cards. The best possible starting hand is two
Each player is dealt 2 cards face down, called hole cards, from an ordinary deck of 52 cards. The best possible starting hand is two aces, referred to as pocket aces. a.) The probability that you are dealt pocket aces is 1/221, or 0.00452 to three significant digits. Verify the probability. b.) Using the result from part (a), obtain the probability that you are dealt pocket kings. c.) Using the result from (a) and your analysis in part (b), find the probability that you are dealt a pocket pair, that is two cards of the same denomination. Next recall that, after receiving your hole cards, there is a betting round. Subsequently, 3 cards, called the flop, are dealt face up in the center of the table. Assuming that you are dealt a pocket pair, determine the probability that the flop d.) Contains at least 1 card of your denomination. (Hint: Complementation rule) e.) Give you trips. That is, contains exactly 1 card of your denomination and 2 other unpaired cards. f.) Gives you quads, that is, contains 2 cards of your denomination. g.) Give you a boat, that is, contains 1 card of your denomination and 2 cards of another denomination
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