Chapter 16, Problem 76E

A draw poker hand consists of 5 cards taken from a deck of 52 cards where the order of the cards is irrelevant (see Example 16.15 and 16.23). Assuming you are playing with an honest deck, find the probability of each of the following hands.

a. A “four of a kind” (four cards of the same value and a “kicker” of any other value)

b. A “flush” (all five cards of the same suit)

c. An “ace-high-straight” (10, J, Q, K, A of any suit but not all the same suit)

d. A “full house” (three cards of equal value and two other cards of equal value)