| Sum | Ways | # of Ways |
|---|---|---|
| 2 | 1,1 | 1 |
| 3 | 1,2; 2,1 | 2 |
| 4 | 1,3; 2,2; 3,1 | 3 |
| 5 | 1,4; 2,3; 3,2; 4,1 | 4 |
| 6 | 1,5; 2,4; 3,3; 4,2; 5,1 | 5 |
| 7 | 1,6; 2,5; 3,4; 4,3; 5,2; 6,1 | 6 |
| 8 | 2,6; 3,5; 4,4; 5,3; 6,2 | 5 |
| 9 | 3,6; 4,5; 5,4; 6,3 | 4 |
| 10 | 4,6; 5,5; 6,4 | 3 |
| 11 | 5,6; 6,5 | 2 |
| 12 | 6,6 | 1 |
The probability of anything is the number of ways that it can happen that you would consider a success divided by the number of ways it can happen total -- successes and failures.
If you add up the number of total ways that you can roll a pair of dice you get 36. So, for a 6-sided die rolled twice or two 6-sided dice rolled once, the denominator of the probability fraction is always 36. The numerator is just the sum of the ways that whatever you want to happen can happen.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
