Let's look at the different ways of getting each sum:
02 = 1 + 1 1 way
03 = 1 + 2 = 2 + 1 2 ways
04 = 1 + 3 = 3 + 1 = 2 + 2 3 ways
05 = 1 + 4 = 4 + 1 = 2 + 3 = 3 + 2 4 ways
06 = 1 + 5 = 5 + 1 = 2 + 4 = 4 + 2 = 3 + 3 5 ways
07 = 1 + 6 = 6 + 1 = 2 + 5 = 5 + 2 = 3 + 4 = 4 + 3 6 ways
08 = 2 + 6 = 6 + 2 = 3 + 5 = 5 + 3 = 4 + 4 5 ways
09 = 3 + 6 = 6 + 3 = 4 + 5 = 5 + 4 4 ways
10 = 4 + 6 = 6 + 4 = 5 + 5 3 ways
11 = 5 + 6 = 6 + 5 2 ways
12 = 6 + 6 1 way
Thus there are a total of 36 ways to sum the two dice together, 6 of which give the sum of 7.
