two fair dice are rolled the sum of the dice is 5

This table contains all the possible sums of 2 die:

| 1 2 3 4 5 6

1 | 2 3 4 5 6 7

2 | 3 4 5 6 7 8

3 | 4 5 6 7 8 9

4 | 5 6 7 8 9 10

5 | 6 7 8 9 10 11

6 | 7 8 9 10 11 12

What's the probability the sum will be 5?: 4/36 = 1/9.

What's the probability the sum will be >4 and <8: 15/36 = 5/12.

Etc.

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