You have a standard deck of 52 cards (4 suits and 13 ranks). You are dealt five cards. What is the probability that you have a flush (5 card

Question

You have a standard deck of 52 cards (4 suits and 13 ranks). You are dealt five cards. What is the probability that you have a flush (5 cards same suit) if the first two cards you got were the 3 of diamonds and king of diamonds?

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Iris 2 weeks 2022-01-06T06:31:07+00:00 1 Answer 0 views 0

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    2022-01-06T06:32:15+00:00

    Answer:

    0.008418 or  0.8418%

    Step-by-step explanation:

    Since the first two cards are already set as the three of diamonds and the king of diamonds, all of the five cards must be diamonds to get a flush. For the third card, there are 11 diamonds within the 50 remaining cards. If we get a diamond, for the fourth card, there are 10 diamonds within the 49 remaining cards and then 9 diamonds within 48 cards for the last pick. The probability of getting a flush is:

    P(flush) = 1*1*\frac{11}{50} *\frac{10}{49}*\frac{9}{48} =0.008418 = 0.8418\%

    There is a 0.008418 or 0.8418% of getting a flush.

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