A spinner numbered 1 through 10 is spun and one die is rolled simultaneously. The sum of the number spun and the number rolled is recorded. How many outcomes are in the sample space?
A) 60
B) 16
C) 15
D) 10

Question

Quizplus · Accepted Answer

There are 10 possible outcomes for spinning the spinner and 6 possible outcomes for rolling the die. Therefore, there are 10 x 6 = 60 possible outcomes for both events. However, some of these outcomes are duplicates, as the order in which the spinner and die are rolled does not matter for the sum. For example, the outcome of spinning a 3 and rolling a 4 is the same as spinning a 4 and rolling a 3. Since there are 10 possible sums ranging from 2 to 11, and each sum can be obtained in exactly one of 15 ways, the sample space has 15 outcomes.

A Spinner Numbered 1 Through 10 Is Spun and One