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?

Question

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

Thanks

Steve · Answer

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