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:

0 S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

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

0 S = {2, 4, 6, 8, 10, 12}

0 S = {1, 3, 5, 7, 11}

Answer 1

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

Least value of sum is when both dice roll 1, that is 2

From 2, all values till 12 are possible in sample space. So, the answer is S = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}