Chapter 16, Problem 13E

A pair of dice is rolled. The observation is the number that comes up on each die (see

Example 16.4). Write out the event described by each of the following statements as a set.

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.)