Probability calculator
Dice Probability Calculator
Calculate exact sum probabilities for fair identical dice using integer outcome counts, reduced fractions, decimals, and percentages.
All entered values remain in this browser tab. No account, upload, persistence, URL state, or remote calculation is used.
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Result
Formula and method
Dynamic programming counts exact sum outcomes with BigInt integers. The numerator is selected by the requested exact, at-most, at-least, or inclusive-between event.
Worked example
For two fair six-sided dice, six of 36 outcomes total 7, so the probability is 1/6.
Limitations
Supports 1–20 identical fair dice with 2–100 sides. It does not model weighted, mixed, exploding, or rerolled dice.