Question

A deck of 52 cards is mixed well, and 5 cards are dealt.What is the probability that a hand will consist entirely of a single suit?

Answer 1

taking 1 card at a time P(say Spade) = 1/4 ( because there are 13 spades out of 52)
2nd card P(spade) = 12/51
3rd card = 11/50

so can you tell me the next 2 probabilities of getting a spade?

Answer 2

10/49 and 9/48??

Answer 3

right
now as all these probabilities are independent to get P(5 spades) you multiply them all together

Answer 4

1/4 * 12/51 * 11/50 * 10/49 * 9/48