Dice Average Calculator

What Is the Average Dice Roll?

The expected value of a fair die with $h$ sides is $(h + 1) / 2$. Rolling $n$ identical dice multiplies that average by $n$. For three six-sided dice, the expected sum is $3.5 \times 3 = 10.5$. Pair this with the Dice Roll Probability Calculator and Dice Roller for full tabletop math.

Dice Average Formula

For $n$ dice with $h$ sides each:

$$\text{Average} = \frac{h + 1}{2} \times n$$

The standard deviation of the total roll is $\sqrt{n \times \frac{h^2 - 1}{12}}$, since each die has variance $(h^2 - 1) / 12$.

Supported Dice

Choose standard polyhedral dice (d4, d6, d8, d10, d12, d20) or enter custom sides for homebrew games. Results update instantly as you change dice count or type.

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