A person is dealt 5 cards from a standard deck of 52 cards.What is the probability that all 5 cards are clubs?

Question

Quizplus · Accepted Answer

There are 13 clubs in a standard deck of 52 cards. The probability of the first card being a club is 13/52. After one club has been drawn, there are only 12 clubs remaining out of 51 cards. So the probability of the second card being a club is 12/51. Following this pattern, the probability of all 5 cards being clubs is (13/52) x (12/51) x (11/50) x (10/49) x (9/48) = 0.0004951, or about 0.05%.

A Person Is Dealt 5 Cards from a Standard Deck