Problem 6E

Suppose two dice are tossed and the numbers on the upper faces are observed. Let S denote the set of all possible pairs that can be observed. [These pairs can be listed, for example, by letting (2, 3) denote that a 2 was observed on the first die and a 3 on the second.]

a Define the following subsets of S:

A: The number on the second die is even.

B: The sum of the two numbers is even.

C: At least one number in the pair is odd.

Step 1 of 6:

The experiment under consideration is tossing two dice and observing the number on the top of the dice.

Let S be the set of all possible pairs of number that can be observed.