If you are delt 4 cards from shuffled deck of 52 cards, find the probability that all 4 cards are diamonds

P (first diamond) = 13/52

P (second diamond) = (13-1) / (52-1) = 12/51

P (third diamond) = (13-2) / (52-2) = 11/50

P (fourth diamond) = (13-3) / (52-3) = 10/49

To get all four diamonds, multiply together the four probabilities to get

P (four diamonds) = 13/52*12/51*11/50*10/49=11/4165