These different methods use a special notation to differentiate them. Take the standard notation and append a .n, where n is the number of +1s on the die. Some dice have additional +2s, which would be denoted as an additional .m added after the .n. For example:
4dF = (-1,0,+1): n P(n) P(n-) P(n+) --- ------- ------- ------- -4 1/81 1.235 1.235 100.000 -3 4/81 4.938 6.173 98.765 -2 10/81 12.346 18.519 93.827 -1 16/81 19.753 38.272 81.481 0 19/81 23.457 61.728 61.728 1 16/81 19.753 81.481 38.272 2 10/81 12.346 93.827 18.519 3 4/81 4.938 98.765 6.173 4 1/81 1.235 100.000 1.235 Chance of very low result ............... 18.519 Chance of acceptable result (+/-1) ...... 62.963 Chance of very high result .............. 18.519 Chance of hitting trait level exactly ... 23.457 Chance of missing trait level ........... 76.543
3dF = (-1,0,+1): n P(n) P(n-) P(n+) --- ------- ------- ------- -3 1/27 3.704 3.704 100.000 -2 3/27 11.111 14.815 96.296 -1 6/27 22.222 37.037 85.185 0 7/27 25.926 62.963 62.963 1 6/27 22.222 85.185 37.037 2 3/27 11.111 96.296 14.815 3 1/27 3.704 100.000 3.704 Chance of very low result ............... 14.815 Chance of acceptable result (+/-1) ...... 70.370 Chance of very high result .............. 14.815 Chance of hitting trait level exactly ... 25.926 Chance of missing trait level ........... 74.074
2dF = (-1,0,+1): n P(n) P(n-) P(n+) --- ------- ------- ------- -2 1/9 11.111 11.111 100.000 -1 2/9 22.222 33.333 88.889 0 3/9 33.333 66.667 66.667 1 2/9 22.222 88.889 33.333 2 1/9 11.111 100.000 11.111 Chance of very low result ............... 11.111 Chance of acceptable result (+/-1) ...... 77.778 Chance of very high result .............. 11.111 Chance of hitting trait level exactly ... 33.333 Chance of missing trait level ........... 66.667
5dPadded n P(n) P(n-) P(n+) --- ------- ------- ------- -4 1/243 0.412 0.412 100.000 -3 5/243 2.058 2.469 99.588 -2 15/243 6.173 8.642 97.531 -1 30/243 12.346 20.988 91.358 0 141/243 58.025 79.012 79.012 1 30/243 12.346 91.358 20.988 2 15/243 6.173 97.531 8.642 3 5/243 2.058 99.588 2.469 4 1/243 0.412 100.000 0.412 Chance of very low result ............... 8.642 Chance of acceptable result (+/-1) ...... 82.716 Chance of very high result .............. 8.642 Chance of hitting trait level exactly ... 58.025 Chance of missing trait level ........... 41.975
4d6 = (-1,0,0,0,0,+1): n P(n) P(n-) P(n+) --- ------- ------- ------- -4 1/1296 0.077 0.077 100.000 -3 16/1296 1.235 1.312 99.923 -2 100/1296 7.716 9.028 98.688 -1 304/1296 23.457 32.485 90.972 0 454/1296 35.031 67.515 67.515 1 304/1296 23.457 90.972 32.485 2 100/1296 7.716 98.688 9.028 3 16/1296 1.235 99.923 1.312 4 1/1296 0.077 100.000 0.077 Chance of very low result ............... 9.028 Chance of acceptable result (+/-1) ...... 81.944 Chance of very high result .............. 9.028 Chance of hitting trait level exactly ... 35.031 Chance of missing trait level ........... 64.969
5d6 = (-1,0,0,0,0,+1): n P(n) P(n-) P(n+) --- ------- ------- ------- -5 1/7776 0.013 0.013 100.000 -4 20/7776 0.257 0.270 99.987 -3 165/7776 2.122 2.392 99.730 -2 720/7776 9.259 11.651 97.608 -1 1770/7776 22.762 34.414 88.349 0 2424/7776 31.173 65.586 65.586 1 1770/7776 22.762 88.349 34.414 2 720/7776 9.259 97.608 11.651 3 165/7776 2.122 99.730 2.392 4 20/7776 0.257 99.987 0.270 5 1/7776 0.013 100.000 0.013 Chance of very low result ............... 11.651 Chance of acceptable result (+/-1) ...... 76.698 Chance of very high result .............. 11.651 Chance of hitting trait level exactly ... 31.173 Chance of missing trait level ........... 68.827
6d6 = (-1,0,0,0,0,+1): n P(n) P(n-) P(n+) --- ------- ------- ------- -6 1/46656 0.002 0.002 100.000 -5 24/46656 0.051 0.054 99.998 -4 246/46656 0.527 0.581 99.946 -3 1400/46656 3.001 3.582 99.419 -2 4815/46656 10.320 13.902 96.418 -1 10224/46656 21.914 35.815 86.098 0 13236/46656 28.369 64.185 64.185 1 10224/46656 21.914 86.098 35.815 2 4815/46656 10.320 96.418 13.902 3 1400/46656 3.001 99.419 3.582 4 246/46656 0.527 99.946 0.581 5 24/46656 0.051 99.998 0.054 6 1/46656 0.002 100.000 0.002 Chance of very low result ............... 13.902 Chance of acceptable result (+/-1) ...... 72.197 Chance of very high result .............. 13.902 Chance of hitting trait level exactly ... 28.369 Chance of missing trait level ........... 71.631
4d8 = (-1,0,0,0,0,0,0,+1): n P(n) P(n-) P(n+) --- ------- ------- ------- -4 1/4096 0.024 0.024 100.000 -3 24/4096 0.586 0.610 99.976 -2 220/4096 5.371 5.981 99.390 -1 936/4096 22.852 28.833 94.019 0 1734/4096 42.334 71.167 71.167 1 936/4096 22.852 94.019 28.833 2 220/4096 5.371 99.390 5.981 3 24/4096 0.586 99.976 0.610 4 1/4096 0.024 100.000 0.024 Chance of very low result ............... 5.981 Chance of acceptable result (+/-1) ...... 88.037 Chance of very high result .............. 5.981 Chance of hitting trait level exactly ... 42.334 Chance of missing trait level ........... 57.666
4d8 = (-1,-1,0,0,0,0,+1,+1): n P(n) P(n-) P(n+) --- ------- ------- ------- -4 16/4096 0.391 0.391 100.000 -3 128/4096 3.125 3.516 99.609 -2 448/4096 10.938 14.453 96.484 -1 896/4096 21.875 36.328 85.547 0 1120/4096 27.344 63.672 63.672 1 896/4096 21.875 85.547 36.328 2 448/4096 10.938 96.484 14.453 3 128/4096 3.125 99.609 3.516 4 16/4096 0.391 100.000 0.391 Chance of very low result ............... 14.453 Chance of acceptable result (+/-1) ...... 71.094 Chance of very high result .............. 14.453 Chance of hitting trait level exactly ... 27.344 Chance of missing trait level ........... 72.656
4d10 = (-1,0,0,0,0,0,0,0,0,+1): n P(n) P(n-) P(n+) --- ------- ------- ------- -4 1/10000 0.010 0.010 100.000 -3 32/10000 0.320 0.330 99.990 -2 388/10000 3.880 4.210 99.670 -1 2144/10000 21.440 25.650 95.790 0 4870/10000 48.700 74.350 74.350 1 2144/10000 21.440 95.790 25.650 2 388/10000 3.880 99.670 4.210 3 32/10000 0.320 99.990 0.330 4 1/10000 0.010 100.000 0.010 Chance of very low result ............... 4.210 Chance of acceptable result (+/-1) ...... 91.580 Chance of very high result .............. 4.210 Chance of hitting trait level exactly ... 48.700 Chance of missing trait level ........... 51.300
4d10 = (-1,-1,0,0,0,0,0,0,+1,+1): n P(n) P(n-) P(n+) --- ------- ------- ------- -4 16/10000 0.160 0.160 100.000 -3 192/10000 1.920 2.080 99.840 -2 928/10000 9.280 11.360 97.920 -1 2304/10000 23.040 34.400 88.640 0 3120/10000 31.200 65.600 65.600 1 2304/10000 23.040 88.640 34.400 2 928/10000 9.280 97.920 11.360 3 192/10000 1.920 99.840 2.080 4 16/10000 0.160 100.000 0.160 Chance of very low result ............... 11.360 Chance of acceptable result (+/-1) ...... 77.280 Chance of very high result .............. 11.360 Chance of hitting trait level exactly ... 31.200 Chance of missing trait level ........... 68.800
2d10 = (-2,-1,0,0,0,0,0,0,+1,+2): n P(n) P(n-) P(n+) --- ------- ------- ------- -4 1/100 1.000 1.000 100.000 -3 2/100 2.000 3.000 99.000 -2 13/100 13.000 16.000 97.000 -1 14/100 14.000 30.000 84.000 0 40/100 40.000 70.000 70.000 1 14/100 14.000 84.000 30.000 2 13/100 13.000 97.000 16.000 3 2/100 2.000 99.000 3.000 4 1/100 1.000 100.000 1.000 Chance of very low result ............... 16.000 Chance of acceptable result (+/-1) ...... 68.000 Chance of very high result .............. 16.000 Chance of hitting trait level exactly ... 40.000 Chance of missing trait level ........... 60.000
2d10 = (-2,-1,-1,0,0,0,0,+1,+1,+2): n P(n) P(n-) P(n+) --- ------- ------- ------- -4 1/100 1.000 1.000 100.000 -3 4/100 4.000 5.000 99.000 -2 12/100 12.000 17.000 95.000 -1 20/100 20.000 37.000 83.000 0 26/100 26.000 63.000 63.000 1 20/100 20.000 83.000 37.000 2 12/100 12.000 95.000 17.000 3 4/100 4.000 99.000 5.000 4 1/100 1.000 100.000 1.000 Chance of very low result ............... 17.000 Chance of acceptable result (+/-1) ...... 66.000 Chance of very high result .............. 17.000 Chance of hitting trait level exactly ... 26.000 Chance of missing trait level ........... 74.000
4d12 = (-1,0,0,0,0,0,0,0,0,0,0,+1): n P(n) P(n-) P(n+) --- ------- ------- ------- -4 1/20736 0.005 0.005 100.000 -3 40/20736 0.193 0.198 99.995 -2 604/20736 2.913 3.111 99.802 -1 4120/20736 19.869 22.979 96.889 0 11206/20736 54.041 77.021 77.021 1 4120/20736 19.869 96.889 22.979 2 604/20736 2.913 99.802 3.111 3 40/20736 0.193 99.995 0.198 4 1/20736 0.005 100.000 0.005 Chance of very low result ............... 3.111 Chance of acceptable result (+/-1) ...... 93.779 Chance of very high result .............. 3.111 Chance of hitting trait level exactly ... 54.041 Chance of missing trait level ........... 45.959
4d20 = (-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,+1): n P(n) P(n-) P(n+) --- ------- ------- ------- -4 1/160000 0.001 0.001 100.000 -3 72/160000 0.045 0.046 99.999 -2 1948/160000 1.218 1.263 99.954 -1 23544/160000 14.715 15.978 98.737 0 108870/160000 68.044 84.022 84.022 1 23544/160000 14.715 98.737 15.978 2 1948/160000 1.218 99.954 1.263 3 72/160000 0.045 99.999 0.046 4 1/160000 0.001 100.000 0.001 Chance of very low result ............... 1.263 Chance of acceptable result (+/-1) ...... 97.474 Chance of very high result .............. 1.263 Chance of hitting trait level exactly ... 68.044 Chance of missing trait level ........... 31.956
4d20 = (-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,+1,+1,+1): n P(n) P(n-) P(n+) --- ------- ------- ------- -4 81/160000 0.051 0.051 100.000 -3 1512/160000 0.945 0.996 99.949 -2 10908/160000 6.817 7.813 99.004 -1 37464/160000 23.415 31.228 92.187 0 60070/160000 37.544 68.772 68.772 1 37464/160000 23.415 92.187 31.228 2 10908/160000 6.817 99.004 7.813 3 1512/160000 0.945 99.949 0.996 4 81/160000 0.051 100.000 0.051 Chance of very low result ............... 7.813 Chance of acceptable result (+/-1) ...... 84.374 Chance of very high result .............. 7.813 Chance of hitting trait level exactly ... 37.544 Chance of missing trait level ........... 62.456
2d20 = (-2,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,+1,+2): n P(n) P(n-) P(n+) --- ------- ------- ------- -4 1/400 0.250 0.250 100.000 -3 2/400 0.500 0.750 99.750 -2 33/400 8.250 9.000 99.250 -1 34/400 8.500 17.500 91.000 0 260/400 65.000 82.500 82.500 1 34/400 8.500 91.000 17.500 2 33/400 8.250 99.250 9.000 3 2/400 0.500 99.750 0.750 4 1/400 0.250 100.000 0.250 Chance of very low result ............... 9.000 Chance of acceptable result (+/-1) ...... 82.000 Chance of very high result .............. 9.000 Chance of hitting trait level exactly ... 65.000 Chance of missing trait level ........... 35.000
2d20 = (-2,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,+1,+1,+2): n P(n) P(n-) P(n+) --- ------- ------- ------- -4 1/400 0.250 0.250 100.000 -3 4/400 1.000 1.250 99.750 -2 32/400 8.000 9.250 98.750 -1 60/400 15.000 24.250 90.750 0 206/400 51.500 75.750 75.750 1 60/400 15.000 90.750 24.250 2 32/400 8.000 98.750 9.250 3 4/400 1.000 99.750 1.250 4 1/400 0.250 100.000 0.250 Chance of very low result ............... 9.250 Chance of acceptable result (+/-1) ...... 81.500 Chance of very high result .............. 9.250 Chance of hitting trait level exactly ... 51.500 Chance of missing trait level ........... 48.500