In a deck of 52 cards there are 13 hearts. If 3 are drawn from the deck, without replacement, what is the probability that all 3 cards will be hearts?

Answer 1

number triples with no restriction = C(52,3) = 22100
number of triples from the hearts = C(13,3) = 286
prob(3hearts) = 286/22100 = 11/850