Results for 4d20, 160000 different potential results

| Result | Fistful of dice | Rule of six | Rule of max | Result |
| Count | Percent | Count | Percent | Count | Percent |
| 1 | 1 | 0.00063% | 1 | 0.00063% | - | - | 1 |
| 2 | 15 | 0.00937% | 15 | 0.00937% | 4 | 0.00250% | 2 |
| 3 | 65 | 0.04063% | 65 | 0.04063% | 38 | 0.02375% | 3 |
| 4 | 175 | 0.10938% | 175 | 0.10938% | 137 | 0.08563% | 4 |
| 5 | 369 | 0.23063% | 369 | 0.23063% | 319 | 0.19937% | 5 |
| 6 | 671 | 0.41938% | 671 | 0.41938% | 609 | 0.38062% | 6 |
| 7 | 1105 | 0.69063% | 1105 | 0.69063% | 1031 | 0.64438% | 7 |
| 8 | 1695 | 1.05938% | 1695 | 1.05938% | 1609 | 1.00562% | 8 |
| 9 | 2465 | 1.54062% | 2465 | 1.54062% | 2367 | 1.47937% | 9 |
| 10 | 3439 | 2.14938% | 3439 | 2.14938% | 3329 | 2.08062% | 10 |
| 11 | 4641 | 2.90063% | 4641 | 2.90063% | 4519 | 2.82438% | 11 |
| 12 | 6095 | 3.80938% | 6095 | 3.80938% | 5961 | 3.72562% | 12 |
| 13 | 7825 | 4.89062% | 7825 | 4.89062% | 7679 | 4.79938% | 13 |
| 14 | 9855 | 6.15938% | 9855 | 6.15938% | 9697 | 6.06062% | 14 |
| 15 | 12209 | 7.63063% | 12209 | 7.63063% | 12039 | 7.52438% | 15 |
| 16 | 14911 | 9.31938% | 14911 | 9.31938% | 14729 | 9.20563% | 16 |
| 17 | 17985 | 11.24062% | 17985 | 11.24062% | 17791 | 11.11937% | 17 |
| 18 | 21455 | 13.40938% | 21455 | 13.40938% | 21249 | 13.28062% | 18 |
| 19 | 25345 | 15.84062% | 25345 | 15.84062% | 25127 | 15.70438% | 19 |
| 20 | 29679 | 18.54938% | 27436 | 17.14750% | 29449 | 18.40563% | 20 |
| 21 | - | - | 2166 | 1.35375% | 2239 | 1.39938% | 21 |
| 22 | - | - | 76 | 0.04750% | 77 | 0.04813% | 22 |
| 23 | - | - | 1 | 0.00063% | 1 | 0.00063% | 23 |