Dice Roll Probability Calculator

Find the exact probability of rolling a specific total sum with any number of standard six-sided dice.

Ways to Roll This Sum-
Total Possible Outcomes-
Probability-
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How Dice Probability Works

With multiple dice, some totals are far more likely than others because there are more ways to combine the individual dice rolls to reach that sum.

Formula

Probability (%) = (Number of Ways to Reach the Sum ÷ 6^(Number of Dice)) × 100

How to Use This Calculator

Example

With 2 dice, there are 6 ways to roll a sum of 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1) out of 36 total outcomes, giving a probability of 16.67% - the most likely sum with 2 dice.

Frequently Asked Questions

How is dice roll probability calculated?

For a single fair die, each face has a 1/6 chance; for multiple dice, probabilities of specific sums use combinatorics to count favorable outcomes over total possible outcomes.

What's the most likely sum when rolling two six-sided dice?

7 — it has the most possible combinations (6 out of 36) compared to any other sum.

Why isn't rolling a 2 as likely as rolling a 7 with two dice?

There's only one way to roll a 2 (1+1), but six different combinations add up to 7, making 7 far more probable.

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