๐ฒ Dice Probability Calculator
Supports up to 6 dice (the number of combinations grows very quickly beyond that).
Specify the number of dice and the number of sides to calculate the exact probability distribution for every possible sum. Uses precise combinatorial math, useful for evaluating probabilities in board games and tabletop RPGs.
How to use
- Enter the number of dice (1 to 6).
- Select the number of sides (d4, d6, d8, d10, d12, d20).
- The probability of each possible sum is shown as a chart.
FAQ
How is the probability calculated?
It performs an exact combinatorial calculation (convolution) considering every possible combination of die faces โ this is an exact probability, not an approximation.
Whatโs the probability of rolling a 7 with 2d6 (two six-sided dice)?
6 out of 36 possible combinations sum to 7, giving a probability of 6/36 โ 16.67% โ the most likely sum for 2d6.
Why is 7 more likely than 2 or 12 with 2d6?
There are 6 combinations that sum to 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1), while only 1 combination sums to 2 or 12 (1+1 or 6+6 respectively).