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.) My answer is 0.2995 can tutor tell me how to an

Algebra ->  Probability-and-statistics -> 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.) My answer is 0.2995 can tutor tell me how to an      Log On


   

Question 1050819: Compute the probability of randomly drawing five cards from a deck and getting 3 Aces and 2 Kings. (Give your answer as a fraction.) My answer is 0.2995 can tutor tell me how to answer it in fraction?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi  

that is not the correct decimal

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 

                  = %2813+%2A4+%2A+12+%2A+6+%29%2F%28+%2852%2A51%2A50%2A49%2A48%29%2F%285%2A4%2A3%2A2%2A1%29%29 

                  =  3744/2598960 = 234/ 162435 = .00144 (decimal form)

Use Calculator for nCx  

0r

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