Chapter 16, Problem 79E

Yahtzee. Yahtzee is a dice game in which five standard dice are rolled at one time.

a. What is the probability of scoring “Yahtzee” with one roll of the dice? (You score Yahtzee when all five dice match.)

b. What is the probability of a four of a kind with one roll of the dice? (A four of a kind is rolled when four of the five dice match.)

c. What is the probability of rolling a large straight in one roll of the dice? (A large straight consists of five numbers in succession on the dice.)