SOLUTION: Compute the probability of randomly drawing five cards from a deck and getting 3 Aces and 2 Kings. (Give your answer as a fraction.)

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Question 1050806: Compute the probability of randomly drawing five cards from a deck and getting 3 Aces and 2 Kings. (Give your answer as a fraction.)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi  

13C1  Ways of choosing the 3 of a kind types: Aces or whatever

4C3   choosing 3 of the 4 Aces

12C1  Ways of choosing the 2 of a kind types: Kings or whatever

4C2   CHOOSING 2 OF THE 4 Kings

52C5  Ways of choosing 5 cards out of the deck

P(3Aces & 2Kings) = %28%2813C1%29%284C3%29%2812C1%29%284C2%29%29%2F%2852C5%29 = 3744/2598960 = 234/ 162435

Use Calculator for nCx  

0r

Note: nCx+=+%28n%21%29%2Fx%21%28n+-+x%29%21%29