Results for 3d20, 8000 different potential results

| Result | Fistful of dice | Rule of six | Rule of max | Result |
| Count | Percent | Count | Percent | Count | Percent |
| 1 | 1 | 0.01250% | 1 | 0.01250% | - | - | 1 |
| 2 | 7 | 0.08750% | 7 | 0.08750% | 3 | 0.03750% | 2 |
| 3 | 19 | 0.23750% | 19 | 0.23750% | 16 | 0.20000% | 3 |
| 4 | 37 | 0.46250% | 37 | 0.46250% | 34 | 0.42500% | 4 |
| 5 | 61 | 0.76250% | 61 | 0.76250% | 58 | 0.72500% | 5 |
| 6 | 91 | 1.13750% | 91 | 1.13750% | 88 | 1.10000% | 6 |
| 7 | 127 | 1.58750% | 127 | 1.58750% | 124 | 1.55000% | 7 |
| 8 | 169 | 2.11250% | 169 | 2.11250% | 166 | 2.07500% | 8 |
| 9 | 217 | 2.71250% | 217 | 2.71250% | 214 | 2.67500% | 9 |
| 10 | 271 | 3.38750% | 271 | 3.38750% | 268 | 3.35000% | 10 |
| 11 | 331 | 4.13750% | 331 | 4.13750% | 328 | 4.10000% | 11 |
| 12 | 397 | 4.96250% | 397 | 4.96250% | 394 | 4.92500% | 12 |
| 13 | 469 | 5.86250% | 469 | 5.86250% | 466 | 5.82500% | 13 |
| 14 | 547 | 6.83750% | 547 | 6.83750% | 544 | 6.80000% | 14 |
| 15 | 631 | 7.88750% | 631 | 7.88750% | 628 | 7.85000% | 15 |
| 16 | 721 | 9.01250% | 721 | 9.01250% | 718 | 8.97500% | 16 |
| 17 | 817 | 10.21250% | 817 | 10.21250% | 814 | 10.17500% | 17 |
| 18 | 919 | 11.48750% | 919 | 11.48750% | 916 | 11.45000% | 18 |
| 19 | 1027 | 12.83750% | 1027 | 12.83750% | 1024 | 12.80000% | 19 |
| 20 | 1141 | 14.26250% | 1083 | 13.53750% | 1138 | 14.22500% | 20 |
| 21 | - | - | 57 | 0.71250% | 58 | 0.72500% | 21 |
| 22 | - | - | 1 | 0.01250% | 1 | 0.01250% | 22 |