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