Dice Probability Calculator
Calculate the exact probability of rolling any total with any number of dice and any number of sides. See the odds and a full distribution chart. Free dice odds calculator.
How to use the Dice Probability Calculator
Enter the number of dice and how many sides each one has.
Type the sum you want the odds for.
Get the exact percentage and ‘1 in N’ odds.
The bar chart shows the full distribution, with your target highlighted.
About this tool
The dice probability calculator shows the exact odds of rolling any total. Set how many dice, how many sides each, and your target sum — and instantly see the precise percentage, the ‘1 in N’ odds, and a full distribution chart.
It computes real probabilities by counting every possible outcome (not by simulating rolls), so the numbers are exact. Whether you are studying for a stats class, balancing a board game, or just curious why 7 comes up so often with two dice, this tool reveals the math behind the dice.
Frequently asked questions
Why is 7 the most likely roll with two dice?
Because more combinations add up to 7 than any other total — six of them (1+6, 2+5, 3+4 and their reverses). The bar chart makes this peak in the middle easy to see.
Is the probability exact or simulated?
Exact. The tool counts every possible outcome mathematically rather than rolling sample dice, so the percentage is precise — not an estimate.
Can I calculate odds for many dice or unusual dice?
Yes — up to 10 dice, each with anywhere from 2 to 100 sides, covering everything from coins to a d100.
What does ‘1 in N’ mean?
It expresses the odds as a frequency: ‘1 in 6’ means that, on average, you’d expect that total once every six rolls of the dice.