Dice Probability Calculator

How many dice are rolled and summed together. More dice make the distribution of the sum increasingly bell-shaped.

The number of faces on each die, numbered 1 to s — 6 for standard dice, 20 for a d20.

The sum you care about. The tool reports the probability of rolling exactly, at most, and at least this total — e.g. a 7 with two dice has probability 1/6.