SOLUTION: What is the probability of getting a spade flush from a standard 52-card deck of cards? (A spade flush is achieved by being dealt, without replacement, 5 consecutive spade cards).

Question 765214: What is the probability of getting a spade flush from a standard 52-card deck of cards? (A spade flush is achieved by being dealt, without replacement, 5 consecutive spade cards).
I know the chances of getting a spade are 13/52 or 1/4.
Not certain how to write getting five consecutive spade cards. Thanks.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
The key here is "without replacement", so
probability of getting a spade on first draw is 13/52
probability of getting a spade on second draw is 12/51
probability of getting a spade on third draw is 11/50
probability of getting a spade on fourth draw is 10/49
probability of getting a spade on second draw is 9/48
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So 13/52 x 12/51 x 11/50 x 10/49 x 9/48 = .000495198 is the probability of drawing 5 spades in a row without replacement
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