I was playing with AnyDice today and game up with the following Dungeon World dice probabilities (from 2d6-4 to 2d6+4):
2d6-4
6- : 91.67%
7-9 : 08.34%
10+ : 00.00%
2d6-3
6- : 83.34%
7-9 : 16.67%
10+ : 00.00%
2d6-2
6- : 72.23%
7-9 : 25.00%
10+ : 02.78%
2d6-1
6- : 58.34%
7-9 : 33.33%
10+ : 08.34%
2d6
6- : 41.67%
7-9 : 41.67%
10+ : 16.67%
2d6+1
6- : 27.78%
7-9 : 44.45%
10+ : 27.78%
2d6+2
6- : 16.67%
7-9 : 41.67%
10+ : 41.67%
2d6+3
6- : 08.34%
7-9 : 33.33%
10+ : 58.34%
2d6+4
6- : 02.78%
7-9 : 25.00%
10+ : 72.23%