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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?

Respuesta :

pedrocarratore

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:

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

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

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