Free Dice Probability Calculator
Odds of a target sum when rolling multiple dice.
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Inputs
Result
Probability of sum = 7
16.667%
6 of 36 outcomes
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Short answer
Odds of a target sum when rolling multiple dice.
What is the Dice Probability Calculator?
Odds of a target sum when rolling multiple dice.
How does the Dice Probability Calculator work?
Enter the inputs above and read the result.
Formula
Variables
sSides per dienNumber of dice
Explanation
Counting is done by convolving the outcome distribution of each die together.
Examples
Applications
Advantages
Limitations
Common mistakes
Tips
Related concepts
The Dice Probability Calculator sits inside the Math Calculators hub, in the statistics & probability cluster. Describing data and quantifying uncertainty. Understanding the terms below makes the output easier to interpret and easier to compare against neighbouring measures.
Practical use cases and industry applications
Understanding Dice Probability
Odds of a target sum when rolling multiple dice. Within math calculators, dice probability belongs to the statistics & probability cluster, where it shares terminology and assumptions with closely related tools.
Learning how dice probability is calculated
Counting is done by convolving the outcome distribution of each die together. Working through the variables one at a time — s, n — makes the result reproducible by hand and easier to sanity-check.
Using dice probability to make a decision
Because outputs depend on the assumptions you enter, run more than one scenario before committing to a figure.
How dice probability compares with related measures
distribution, dispersion, significance, sample all describe adjacent aspects of statistics & probability. Comparing this calculator's output against those measures — using the related tools listed on this page — prevents a single metric from being read in isolation.
Frequently asked questions
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