SOLUTION: I need help on this one please. 10. In poker, 5 cards are drawn from 52 shuffled cards. Recall that there are only 4 different ways to get a royal flush (10,J,Q,K, Ace -- al

Question 1042135: I need help on this one please.
10. In poker, 5 cards are drawn from 52 shuffled cards.
Recall that there are only 4 different ways to get a royal flush (10,J,Q,K, Ace -- all of the same suit).

What is the probability of getting a royal flush?

Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
The probability of being dealt a royal flush is the number royal flushes divided by the total number of poker hands.
:
The number of poker hands = 52C5, that is the combination of 52 cards taken 5 at a time.
:
52C5 = 52! / ( 5! * (52-5)! ) = 2,598,960
:
There are 4 different poker hands that are royal flushes
:
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There is only a probability of 4/2,598,960 = 1/649,740 = 0.00015% of being dealt a royal flush.
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