SOLUTION: 5 cards are drawn from an ordinary deck of 52 playing cards. Find the probability of getting two pairs (for example, A-A-5-5-Q or 4-4-7-7-A).
The answer is 0.0475, but how do I ge
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Question 510294: 5 cards are drawn from an ordinary deck of 52 playing cards. Find the probability of getting two pairs (for example, A-A-5-5-Q or 4-4-7-7-A).
The answer is 0.0475, but how do I get to that answer?
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Two pair can have any two of 13 ranks and each pair can have any two of four suits. The other card can have any of the 11 remaining ranks and any suit.
(13C2*(4C2)^2*11C1*4C1)/52C5
=123552/2598960
=0.0475...
.
Ed
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