Dice Average Formula:
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The average roll of a die is the mean value you would expect to get when rolling the die many times. For standard polyhedral dice used in D&D, this follows a simple mathematical formula.
The calculator uses the dice average formula:
Where:
Explanation: The average is simply the midpoint between the minimum (1) and maximum (sides) values of the die.
Details: Knowing the average roll helps players and DMs predict outcomes, balance encounters, and make strategic decisions during gameplay.
Tips: Enter the number of sides on your die (must be at least 2). Common D&D dice include d4 (4 sides), d6 (6 sides), d8 (8 sides), d10 (10 sides), d12 (12 sides), and d20 (20 sides).
Q1: Why is the average not just half the sides?
A: Because dice start at 1, not 0. A d6 goes from 1-6, so the average is 3.5, not 3.
Q2: Does this work for non-standard dice?
A: Only for standard, equally-weighted dice with sequential numbering (1, 2, 3...n).
Q3: What about multiple dice?
A: For multiple dice, multiply the single die average by the number of dice (e.g., 2d6 averages 7).
Q4: How accurate is this for real gameplay?
A: Over many rolls, the actual average will approach this value, but individual sessions may vary.
Q5: What's the average for percentile dice (d100)?
A: 50.5 - calculated as (1 + 100)/2.