I am trying to write a program to calculate the probability of a number of dice thrown equaling a specif value. I have done some working out in excel, to try and find a patter, but I am at a loss. At first the values seem to follow the pattern of Pascal's triangle, but then they start get weird. I'd love some help (I am a hobby programmer, not a mathematician). The data for these patterns I have so far is this:
1D6
- 1 1
- 2 1
- 3 1
- 4 1
- 5 1
- 6 1
2D6
- 2 1
- 3 2
- 4 3
- 5 4
- 6 5
- 7 6
- 8 5
- 9 4
- 10 3
- 11 2
- 12 1
3D6
- 3 1
- 4 3
- 5 6
- 6 10
- 7 15
- 8 21
- 9 25
- 10 27
- 11 27
- 12 25
- 13 21
- 14 15
- 15 10
- 16 6
- 17 3
- 18 1
4D6
- 4 1
- 5 4
- 6 10
- 7 20
- 8 35
- 9 56
- 10 80
- 11 104
- 12 125
- 13 140
- 14 146
- 15 140
- 16 125
- 17 104
- 18 80
- 19 56
- 20 35
- 21 20
- 22 10
- 23 4
- 24 1
