Dice Probability Calculator

Exact math — it computes a full convolution of the dice's possible outcomes (counting every combination that produces each possible sum), so the percentages shown are mathematically precise, not estimates from randomly simulating rolls.

There are more ways to combine two six-sided dice into a sum of 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1 — six combinations) than any other sum, while extreme sums like 2 or 12 have only one possible combination each — this classic bell-curve shape is exactly what the probability table visualizes.

Up to 10 dice and up to 100 sides per die — beyond that, the number of possible outcomes grows so large that the exact calculation becomes impractical to display usefully in a browser.

It shows the exact probability of your dice rolling to exactly that one specific sum, expressed as both a fraction (ways out of total possible outcomes) and a percentage.

Yes — it's useful for any game mechanic involving summed dice rolls, whether you're checking the odds of rolling a specific Catan resource-producing number or estimating how likely a particular RPG damage roll outcome is.