Dice Probability Calculator

Dice probability uses combinatorics to calculate the exact likelihood of rolling specific sums or outcomes with one or more dice. The distribution of sums follows a discrete probability distribution that becomes approximately bell-shaped (normal) as more dice are added — an illustration of the Central Limit Theorem

The calculator uses the standard published formula for dice probability. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.

This calculator works with inches. You can enter values in the units shown — the calculator handles all conversions internally.

The core formula is: P(sum = T) = ways / total outcomes. Each step in the calculation is shown so you can verify the result manually.