Chapter 16, Problem 39E

A pair of honest dice is rolled. Find the probability of each of the following events. (Hint: Do Exercise 13 first.)

a. $E_1$: “pairs are rolled.” (A “pair” is a roll in which both dice come up the same number.)

b. $E_2$: “craps are rolled.” (“Craps” is a roll in which the sum of the two numbers rolled is 2, 3, or 12.)

c. $E_3$: “a natural is rolled.” (A “natural” is a roll in which the sum of the two numbers rolled is 7 or 11.)