Assume you are rolling two dice: the first one is red and the second one is green. Use a systematic listing to determine the number of ways you can roll the following. For example, a total of 3 can be rolled in two ways: (1,2) and (2,1).
Roll a total less than 8.
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