vals[0] 
Probs
Probs 5 6 7 8 9 10 11 12
2 5/18 5/12 7/12 13/18 5/6 11/12 35/36 1
3 1/4 7/18 5/9 25/36 29/36 8/9 17/18 35/36
4 7/36 1/3 1/2 23/36 3/4 5/6 8/9 11/12
5 1/9 1/4 5/12 5/9 2/3 3/4 29/36 5/6
6 1/4 5/36 11/36 4/9 5/9 23/36 25/36 13/18
7 5/12 11/36 1/6 11/36 5/12 1/2 5/9 7/12
8 5/9 4/9 11/36 5/36 1/4 1/3 7/18 5/12
9 2/3 5/9 5/12 1/4 1/9 7/36 1/4 5/18