Gaming

Dice Roller

Roll any dice notation, with modifiers and totals.

Enter your values

Results update instantly as you type — no submit needed.

Results
Notation
3d6+2
This roll
4 + 3 + 3 + 2 = 12
Average result
12.5
Minimum / maximum
5 / 20
Chance of maximum
0.463%

Quick answer

The average of a fair d-sided die is (d + 1) ÷ 2, so 3d6 averages 10.5 before modifiers.

Mean = n × (d + 1) ÷ 2 + modifier

How to use the Dice Roller

  1. 1Enter how many dice to roll.
  2. 2Enter the number of sides.
  3. 3Add a modifier if your rules need one.

Frequently asked questions

Why do 3d6 results cluster?

Sums of multiple dice form a bell curve — 10 and 11 are six times more likely than 3 or 18.

What is the average of a d20?

10.5. Any single die averages (sides + 1) ÷ 2.