Work out dice probability for games instantly with clear inputs, formula shown and shareable results.
The distribution of dice totals is built by convolution: start with one way to score zero, then for each die spread every running total across its faces. Dice totals are not uniform, which is why 7 comes up six times more often than 2 on two dice and why board games reward middle numbers.
Total outcomes
outcomes = sides ^ number of dice
Probability
probability = combinations giving the target / total outcomes
outcomes = sides ^ number of dice. The distribution of dice totals is built by convolution: start with one way to score zero, then for each die spread every running total across its faces.
Dice totals are not uniform, which is why 7 comes up six times more often than 2 on two dice and why board games reward middle numbers.
Enter number of dice, sides per die, target total. The defaults shown are a realistic worked example — swap in your own figures to get a result you can use.