3 cards are drawn at random from a standard deck Find the pr
3 cards are drawn at random from a standard deck.
Find the probability that all the cards are hearts.
Find the probability that all the cards are face cards.
Note: Face cards are kings, queens, and jacks.
Find the probability that all the cards are even.
(Consider aces to be 1, jacks to be 11, queens to be 12, and kings to be 13)
Solution
total hearts=13 out of 52
1) probability that all the cards are hearts = 13/52 *12/51 *11/50 = 0.013
face cards total = 12
2) probability that all the cards are face cards = 12/52 *11/51 *10/50 = 0.01
even cards=26
3) probability that all the cards are even = 26/52 *25/51 *24/50 = 0.118
