Probability helper

Dice Roller Calculator

Calculate range and expected value for a dice pool with an optional modifier.

Planning, not gambling

This calculator reports mathematical range and expected value. It does not generate random rolls or make predictions about any future random event.

Example

For 2 six-sided dice with no modifier, the minimum is 2, the maximum is 12 and the expected value is 2 x (6 + 1) / 2 = 7.

How to use the result

Expected value is the long-run average over many rolls, not the result you should expect on the next roll.

Limitations

This calculator assumes fair dice with equally likely sides. It does not model advantage rules, exploding dice, rerolls or custom probability tables.

Last reviewed: 2026-05-17

Before relying on this result

Use this calculator together with the formula, assumptions, limitations and examples on the page. If the topic involves health, tax, lending, investment, legal, safety or current-rate decisions, treat the number as an estimate and check the relevant primary source or professional guidance.

Calculator metadata last reviewed: 2026-05-14.