4d6 drop lowest (ability scores)
At the table
Classic D&D character creation: roll four d6, drop the lowest, sum the rest. The average is about 12.24, noticeably higher than straight 3d6.
Try it
In the playground, open this recipe in the playground and click Run.
The script
↗output("ability", 4d6dl1)
Sugar expands 4d6dl1 to drop_lowest(4, 6, 1), which returns the full distribution of ability scores.
Lesson 5 — Dice notation walks through dl1, kh, and related notation step by step.
ability · DieRoll · mean 12.245
| outcome | % | frac | X/1296 |
|---|---|---|---|
| 3 | 0.08 | 1/1295 | 1 |
| 4 | 0.31 | 1/324 | 4 |
| 5 | 0.77 | 5/648 | 10 |
| 6 | 1.62 | 7/432 | 21 |
| 7 | 2.93 | 19/648 | 38 |
| 8 | 4.78 | 31/648 | 62 |
| 9 | 7.02 | 62/883 | 91 |
| 10 | 9.41 | 61/648 | 122 |
| 11 | 11.4 | 37/324 | 148 |
| 12 | 12.9 | 167/1296 | 167 |
| 13 | 13.3 | 43/324 | 172 |
| 14 | 12.3 | 10/81 | 160 |
| 15 | 10.1 | 103/1019 | 131 |
| 16 | 7.25 | 47/648 | 94 |
| 17 | 4.17 | 1/24 | 54 |
| 18 | 1.62 | 7/432 | 21 |