SOLUTION: An experiment consists of dealing 5 cards from a standard 52 card deck. What is the probability of being dealt a 5, 6, 7, 8, 9, all in the same suit?

Question 993839: An experiment consists of dealing 5 cards from a standard 52 card deck. What is the probability of being dealt a 5, 6, 7, 8, 9, all in the same suit?
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
The total number of five card hands possible is found by
52! / (47!)(5!) = 2598960
And since there are only four hands that satisfy 5,6,7,8,9 of the same suit, we divide the above by four and get
2598960 / 4 = 649740
Thus the odds are 1 deal out of 649,740.
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