Enter your dice type (d4, d6, d8, d10, d12, or d20) and the number of dice to roll, and this Dice Average Calculator returns the expected average roll, the minimum and maximum possible totals, and the full range — all based on the standard dice average formula.
Expected Average Total
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Average per Die
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Minimum Possible Total
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Maximum Possible Total
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Total Range (Max − Min)
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The dice average (or expected value) is the mean result you would expect if you rolled a die an infinite number of times. For a fair die with faces numbered 1 through h, the average is (h + 1) / 2. For example, a d6 has an average roll of 3.5.
Use the formula: Average = (h + 1) / 2, where h is the number of faces on the die. For multiple dice, multiply this value by the number of dice rolled. So two d6 dice have an expected average total of 2 × 3.5 = 7.
A d20 has faces numbered 1 through 20, so its average roll is (20 + 1) / 2 = 10.5. Over many rolls, you can expect an average result close to 10 or 11.
Yes — but only for a standard 6-sided die (d6). The average of a d6 is (6 + 1) / 2 = 3.5. Other dice types have different averages: d4 averages 2.5, d8 averages 4.5, d10 averages 5.5, d12 averages 6.5, and d20 averages 10.5.
Multiply the single-die average by the number of dice. For two d6 dice, the average per die is 3.5, so the expected total is 2 × 3.5 = 7. The same logic applies to any dice combination.
Dice averages are useful in tabletop role-playing games (like D&D), board games, and probability studies. They help players estimate expected damage, plan strategies, or understand the statistical spread of possible outcomes across multiple dice.
The minimum total when rolling n dice is always n (every die shows a 1), and the maximum is n × h (every die shows its highest face). For example, rolling 3d8 gives a minimum of 3 and a maximum of 24.
Yes. The formula (h + 1) / 2 × n assumes each face on every die has an equal probability of appearing. Weighted or trick dice would produce a different expected value.