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.)

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.)      Log On


   

Question 1071175: 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 KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The number of possible different sets of 5 cards
that could drawn out of a deck of 52 cards is
.
The number of sets of 3 aces that can be made out of that deck is
4 .
The number of possible sets of 2 kings is
%28matrix%282%2C1%2C4%2C2%29%29=4%2A3%2F2=6 .
As a consequence the number of different,sets of 5 cards made up of 3 access and 2 kings is
4%2A6=24=2%5E3%2A4 .
As a fraction of all possible sets of 5 cards,
that is
24%2F2598960=2%5E3%2A3%2F%282%5E4%2A3%2A5%2A7%5E2%2A14%2A17%29=1%2F%282%2A5%2A7%5E2%2A13%2A17%29=highlight%281%2F108290%29