<PRE><B>Question 1042135</B>
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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