Entertainment & Fun
Dice Probability Calculator
Choose the number of dice, sides, target total, and comparison to estimate dice-roll probability.
Inputs
Results
Useful next checks
- Check the inputs before relying on the result.
- Try a second scenario to compare outcomes.
- Read the guide below for context.
# Dice Probability Calculator
Use this dice probability calculator to estimate the chance of rolling exactly, at least, or at most a target total with fair dice.
What this calculator does
Enter the number of dice, sides per die, target total, and outcome type. The calculator counts every possible total and reports the chance as a percentage.
How it works
For fair dice, total outcomes equal `sides ^ dice`. The calculator builds the exact sum distribution, counts favourable outcomes, and divides favourable outcomes by total outcomes.
Example calculation
With two six-sided dice there are 36 possible outcomes. Six outcomes total 7, so the chance of rolling exactly 7 is `6 / 36 = 16.6667%`.
How to use the result
Use the probability to compare game choices, tabletop scenarios, or chance-based rules. The result assumes fair dice and independent rolls.
Assumptions and limitations
The dice are assumed fair, identical, and independent. The dice count is limited so the exact distribution stays fast in the browser.
FAQs
Does order matter?
The calculator counts every ordered dice outcome. Rolling 1 then 6 and 6 then 1 are different outcomes, which is standard for dice probability.
Can I use custom dice?
Yes, if each die has the same number of sides and each face is equally likely.
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Frequently asked questions
Does this assume fair dice?
Yes. Every face is assumed to have an equal chance.
Why is the dice count limited?
The limit keeps the exact distribution fast in the browser.