Question

Three cards are drawn all at once from a standard deck of 52 playing cards. What is the probability of selecting exactly two aces?

Answer 1

initially there are 4 aces in the pack of 52 cards, so the probability that the first card drawn is an ace is 4/52, now that one ace has been drawn, there are three remaining and out of which one has to be drawn. So the probability that a second ace is drawn is 3/51, hence the total probability is
(4/52)*3/51 = 1/221