Exploding Dice Average Calculator
This tool calculates the average (expected value) of exploding dice commonly used in RPGs and tabletop games.
📘 How Exploding Dice Work (Click to Open)
What Is an Exploding Die?
An exploding die allows you to roll again whenever the maximum value is rolled. Each additional roll is added to the total.
Example (Exploding d6)
Rolls: 6 → 6 → 3
Final result: 15
Average Formula
Average = ((1 + N) / 2) ÷ (1 − 1/N)
Where N is the number of sides on the die.
Multiple Dice
Total Average = Dice Count × Single Die Average
This calculator assumes standard explosion rules (explode on max value only).