Dice Roller
Roll any dice notation, with modifiers and totals.
Reviewed by James Whitfield · How we check our maths
Your values
ⓘ Live results
Results
- Notation
- 3d6+2
- This roll
- 6 + 3 + 3 + 2 = 14
- 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.
The formula
Mean = n × (d + 1) ÷ 2 + modifier
Worked example
Worked example
Using the values the calculator loads with.
Inputs
- Number of dice3
- Sides per die6
- Modifier2
Result
- Notation3d6+2
- This roll3 + 4 + 6 + 2 = 15
- Average result12.5
- Minimum / maximum5 / 20
- Chance of maximum0.463%
How to use the Dice Roller
- 1Enter how many dice to roll.
- 2Enter the number of sides.
- 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.
About this calculator
- Built and reviewed by James Whitfield · How we build and test calculators
- Report an error