Question

An experiment is rolling two fair dice and adding the numbers. State the sample space (S) = _____

Answer 1

The sample space for rolling two fair dice and adding the numbers is {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.

Step-by-step explanation:

The sample space for rolling two fair dice and adding the numbers is as follows:

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

Step-by-step explanation:

1. When rolling two fair dice, there are 6 possible outcomes for the first die (numbers 1-6) and 6 possible outcomes for the second die (numbers 1-6).
2. To determine the sample space, we need to find all possible sums when adding the numbers on the two dice. For example, if the first die shows a 1 and the second die shows a 2, the sum would be 1 + 2 = 3.
3. To find the sample space, we list all possible sums, which range from 2 (1 + 1) to 12 (6 + 6).