Problem: When playing 5-card poker, a full house is a hand that contains three cards of one rank and two cards of another rank. For example, you could have three 7s and two 4s.
Find the probability of being dealt a full house in two different ways:
(a) Assume that all five cards are dealt at once, so that the sample space has size C(52, 5).
(b) Assume that the cards are dealt one at a time, so that the sample space has size P(52, 5).