Dice Average Calculator

Compute the expected sum, variance, SD, min, and max of rolling n dice with s sides plus an optional modifier - useful for D&D and tabletop games.

Frequently Asked Questions

What's the average roll of 3d6?

10.5. The mean of one d6 is 3.5, and three dice sum to 10.5 on average. The SD is about 2.96.

Does the modifier change the SD?

No - a constant modifier shifts the mean but leaves the spread unchanged. SD depends only on the dice.

Why use multiple dice instead of one big die?

Multiple dice give the same range with a tighter, bell-shaped distribution. Extreme totals become rare while the average becomes more reliable.

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Estimates for informational purposes only.

Important Disclaimer: Estimates for informational purposes only.

This calculator provides estimates for informational purposes only. Results are based on assumptions and may not reflect actual outcomes. Consult qualified professionals in relevant fields before making important decisions based on these results.

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