A poker hand consisting of 7 cards is dealt from a standard deck of 52 cards. Find the probability that the hand contains exactly 6 face car

Question

A poker hand consisting of 7 cards is dealt from a standard deck of 52 cards. Find the probability that the hand contains exactly 6 face cards. Round your answer to 4 decimal places as needed.

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Vivian 5 hours 2021-09-15T20:22:43+00:00 1 Answer 0

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    2021-09-15T20:24:23+00:00

    Answer:

    0.0015

    Step-by-step explanation:

    Ways of dealing combinations of 7 cards randomly from a randomly shuffled standard 52 card deck = 52!/(45!)(7!) = 133,784,560.

    Combinations of 6 face cards from among 12 face cards = 12!/(7!)(6!) = 132. Combinations of 1 non-face cards from among (52–12)!/(38!)(1!) = 1560.

    Combinations of 5 face cards and 2 non-face cards = 132×1560 = 205920

    Probability as requested = 205,920/133,784,560  = 0.001539= 0.0015

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45:7+7-4:2-5:5*4+35:2 =? ( )