Question

choose the correct sample space (s) for the random experiment that is described. a pair of dice is rolled, and the sum of the dots on the two faces that come up is recorded:
○s = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
○s = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
○s = {2, 4, 6, 8, 10, 12}
○s = {1, 3, 5, 7, 11}

Explanation:

Step1: Analyze minimum sum

The minimum value on a single - die is 1. When rolling two dice, the minimum sum is \(1 + 1=2\).

Step2: Analyze maximum sum

The maximum value on a single - die is 6. When rolling two dice, the maximum sum is \(6 + 6 = 12\).

Step3: Consider all possible sums

The possible sums range from 2 to 12, and all integer values in between can be obtained. For example, \(1+2 = 3\), \(1 + 3=4\) etc.

Answer:

S = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}