SOLUTION: If you are dealt a hand of 5 cards, what is the probability that all the cards are the same suit? How do I solve this?

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Question 807596: If you are dealt a hand of 5 cards, what is the probability that all the cards are the same suit? How do I solve this?
Answer by Edwin McCravy(20063) About Me  (Show Source):
You can put this solution on YOUR website!
P(%28matrix%284%2C1%2CThey%2Care%2Call%2Cspades%29%29OR%28matrix%284%2C1%2CThey%2Care%2Call%2Cclubs%29%29OR%28matrix%284%2C1%2CThey%2Care%2Call%2Chearts%29%29OR%28matrix%284%2C1%2CThey%2Care%2Call%2Cdiamonds%29%29) =

P(%28matrix%284%2C1%2CThey%2Care%2Call%2Cspades%29%29)+P(%28matrix%284%2C1%2CThey%2Care%2Call%2Cclubs%29%29+P(%28matrix%284%2C1%2CThey%2Care%2Call%2Chearts%29%29+P(%28matrix%284%2C1%2CThey%2Care%2Call%2Cdiamonds%29%29) =

%22C%2813%2C5%29%22%2F%22C%2852%2C5%29%22+%22C%2813%2C5%29%22%2F%22C%2852%2C5%29%22+%22C%2813%2C5%29%22%2F%22C%2852%2C5%29%22+%22C%2813%2C5%29%22%2F%22C%2852%2C5%29%22 =

4·%22C%2813%2C5%29%22%2F%22C%2852%2C5%29%22 =

4· 1287%2F2598960 = 5148%2F2598960 = 33%2F16640

or approximately .0019807923

[Note: this is not the probability of getting a flush, but the
probability of getting a flush OR a straight flush.]

Edwin