(Solution) - Suppose that 5 cards are drawn from a deck of -(2025 Original AI-Free Solution)

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Suppose that 5 cards are drawn from a deck of 52 cards. For the following exercises, give both a reasoned expression and an answer.
37. Two Pairs. A hand with two pairs is a hand like
Q-Q-3-3-A.
a) How many are there?
b) What is the probability of getting two pairs?
38. Full House. A full house consists of 3 of a kind and a pair such as Q-Q-Q-4-4.
a) How many full houses are there?
b) What is the probability of getting a full house?
39. Three of a Kind. A three-of-a-kind is a 5-card hand in which exactly 3 of the cards are of the same denomination and the other 2 are not a pair, such as Q-Q-Q-10-7.
a) How many three-of-a-kind hands are there?
b) What is