202k views
2 votes
PLZ ANSWER ASAP PLZZZZZZZZZZZZ You are dealt with 5 cards in a deck of 52 cards. What is the probability tht you have exactly 3 Aces and 2 kings in your hand

User Egandalf
by
5.0k points

1 Answer

6 votes

There are 4 Aces and 4 Kings in a deck of cards.

Getting 3 aces out of 4 is c(4,3) = 4

Getting 2 kings out of 4 is c(4,2) = 6

Total ways of getting 3 aces and 2 kings is 4 * 6 = 24.

You are being dealt 5 cards out of the deck , the number of ways you can get 5 cards out of a deck of 52 cards is c(52,5) = 2,598,960

The probability of getting 3 aces and 2 kings being dealt 5 cards from the deck is 24 / 2,598,960 = 9.23446 * 10^-6 = (0.00000923446)

User Jamesbtate
by
4.6k points