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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%fracX/64
125.01/416
225.01/416
325.01/416
56.251/164
66.251/164
76.251/164
91.561/641
101.561/641
111.561/641
121.561/641