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D&D Average Damage Roll Calculator

Mean damage of n·d_x + mod plus crit-doubled mean.

Compute the average damage of a D&D damage expression of the form n·d_x + mod (e.g. 3d6 + 4). Reports the per-die mean, the average normal hit, and the average critical hit (dice doubled, modifier not).

Marcus Laurent By Marcus Laurent
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

Average die = (sides + 1) / 2. Damage = n · (s+1)/2 + mod. Crit = 2n · (s+1)/2 + mod.

In depth

Compute the average damage of a D&D damage expression of the form n·d_x + mod (e.g. 3d6 + 4). Reports the per-die mean, the average normal hit, and the average critical hit (dice doubled, modifier not).