Statistics

Dice Probability Calculator

Find the chance of rolling a value at least once.

Calculated Output

P of a specific value (one roll) (%) 16.667

P at least once in all rolls (%) 42.13

Formula: P(at least once) = 1 − ((s−1)/s)^rolls

Step-by-Step Breakdown

1. Values used:

2. Sides per die = 6

3. Number of rolls = 3

5. P of a specific value (one roll) = 16.667%

6. P at least once in all rolls = 42.13%

Did this calculator solve your problem today?

The math behind it

Single roll: 1 ÷ sides. At least once in n rolls: 1 − ((sides−1)/sides)ⁿ.

6-sided, 3 rolls → 16.7% single, 42.1% at least once.

Two dice sum?

Use the Dice Average calculator for sums.