5 cards are randomly selected from a standard deck of 52 cards to form a poker hand. Determine the probability of being dealt a straight flush (five cards in sequence in the same suit but not a royal flush. Note: A royal flush is 10, Jack, Queen, King, Ace all in the same suit. Note: Aces can be high or low).
The number of a straight flush (excluding royal flush):
For a single suit - There are 9 possibilities of a straight flush and there are 4 suits. Hence total number = 9*4=36. can also be calculated as follows:
The total number of hands possible:
The required probability is:
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