Question

A standard deck of 52-card deck is used to play a game. Four cards are drawn. What is the probability that all four cards are diamonds?

I got this question wrong. I do not know how to solve it. Please explain.

Thanks

Answer 1

to start out, there are 13 diamonds in 52 cards. As you draw the cards, the probabilities change, due to the makeup of the remaining cards. The result is

13/52 * 12/51 * 11/50 * 10/49
= (13*12*11*10)/(52*51*50*49)
= 13P4/52P4