Exploding dice
At the table
Exploding (or “open-ended”) dice add another roll when you hit the die’s maximum face, and keep adding until you stop exploding. Savage Worlds uses this on raising and damage; many house rules explode d4s or d6s on max.
Try it
In the playground, open this recipe in the playground and click Run. Output shows the distribution of one d4 exploding up to two extra rolls on max.
The script
↗output("exploded", explode(d(4), 2))
exploded · DieRoll · mean 3.281
| outcome | % | frac | X/64 |
|---|---|---|---|
| 1 | 25.0 | 1/4 | 16 |
| 2 | 25.0 | 1/4 | 16 |
| 3 | 25.0 | 1/4 | 16 |
| 5 | 6.25 | 1/16 | 4 |
| 6 | 6.25 | 1/16 | 4 |
| 7 | 6.25 | 1/16 | 4 |
| 9 | 1.56 | 1/64 | 1 |
| 10 | 1.56 | 1/64 | 1 |
| 11 | 1.56 | 1/64 | 1 |
| 12 | 1.56 | 1/64 | 1 |