Dice Probability Calculator
Calculate the probability of any dice roll outcome — choose your dice, set a target sum, and see the exact odds instantly.
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How to use
- Choose the number of dice and how many sides each has.
- Enter a target sum and pick Exactly, At least or At most.
- Read the probability, the number of ways to hit it, and the average roll.
What is this tool?
Dice Probability Calculator works out the exact odds of a dice roll outcome by counting every possible combination for your chosen number of dice and sides. It shows the probability as a percentage, the number of winning combinations out of the total, and the mathematical average roll.
Common uses
- Checking the odds of a specific roll in tabletop RPGs
- Understanding how likely a 2d6 or 3d6 sum is before rolling
- Teaching probability and combinatorics with a concrete example
- Designing balanced house rules for dice-based games
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FAQ
How is the probability calculated?
It counts every possible combination of the dice you chose using a standard combinatorial method, then divides the matching combinations by the total.
What's the difference between the three modes?
"Exactly" gives the odds of one specific sum, while "At least" and "At most" add up the odds across a range of sums.
Can I use different-sided dice at once?
This calculator assumes all dice have the same number of sides, matching how most tabletop games roll multiple dice of one type.