Dice Average Calculator
Find the average (expected) result of rolling dice — enter the number of dice, sides and a modifier to get the mean roll, minimum and maximum.
How to calculate the average dice roll
A single fair die averages (sides + 1) ÷ 2 — so a d6 averages 3.5 and a d20 averages 10.5. For several dice, multiply by the number of dice and add any modifier. This gives the expected value: the long-run average total of the roll.
average = N × (sides + 1) ÷ 2 + modifier
For example, 2d6 averages 2 × 3.5 = 7 (minimum 2, maximum 12). A 3d8 + 2 attack averages 3 × 4.5 + 2 = 15.5. Handy for D&D, tabletop and board-game probability — compare the average of different dice pools before you commit.
For the plain mean of a list of numbers, use the average calculator.
Frequently asked questions
What is the average roll of a die?
The average of a single fair die is (sides + 1) ÷ 2. A six-sided die (d6) averages (6 + 1) ÷ 2 = 3.5; a d20 averages 10.5. For several dice, multiply by the number of dice.
What is the average of 2d6?
Two six-sided dice average 2 × 3.5 = 7. The minimum is 2 and the maximum is 12, with 7 being the most likely single total.
How do you calculate the average of NdX + modifier?
Average = N × (X + 1) ÷ 2 + modifier, where N is the number of dice and X the sides. For 3d8 + 2: 3 × (8 + 1) ÷ 2 + 2 = 13.5 + 2 = 15.5. This calculator also shows the minimum and maximum possible totals.