Question

A pair of honest dice is rolled, and the number on each die is noted. How many different outcomes are there in the sample space

Answer 1

The sample space includes all possible outcomes. If we are talking about six sided dice here, there are 6 possible outcomes for each die. The total number of outcomes will be 6 times 6.

Answer 2

The sample space has 36 possible combinations of numbers. These can be set out in column form as follows:
6,6 5,6 4,6 3,6 2,6 1,6
6,5 5,5 4,5 3,5 2,5 1,5
6,4 5,4 4,4 3,4 2,4 1,4
6,3 5,3 4,3 3,3 2,3 1,3
6,2 5,2 4,2 3,2 2,2 1,2
6,1 5,1 4,1 3,1 2,1 1,1