Dice Roller
Roll any dice notation, with modifiers and totals.
Enter your values
Enter the number of dice you are working with.
Enter the sides per die you are working with.
Enter the modifier you are working with.
Results update instantly as you type — no submit needed. Your values are remembered on this device, and the shareable link reopens the calculator with exactly these numbers.
- Notation
- 3d6+2
- This roll
- 3 + 4 + 5 + 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.
Mean = n × (d + 1) ÷ 2 + modifier
At a glance
| What it does | Roll any dice notation, with modifiers and totals. |
|---|---|
| Category | Gaming |
| Inputs needed | Number of dice, Sides per die, Modifier |
| Main output | Notation |
| Formula | Mean = n × (d + 1) ÷ 2 + modifier |
| Cost | Free — no sign-up, no download |
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.
Inputs explained
- Number of dice
- Enter the number of dice you are working with.
- Sides per die
- Enter the sides per die you are working with.
- Modifier
- Enter the modifier you are working with.
Worked example
Using the values the calculator loads with:
Inputs
- Number of dice3
- Sides per die6
- Modifier2
Results
- Notation3d6+2
- This roll4 + 5 + 6 + 2 = 17
- Average result12.5
- Minimum / maximum5 / 20
- Chance of maximum0.463%
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.
What do I need to enter into the Dice Roller?
Just 3 values: number of dice, sides per die, modifier. Every field starts with a realistic example, so you can change one number at a time and watch the result update instantly.
How does the Dice Roller work out the answer?
The average of a fair d-sided die is (d + 1) ÷ 2, so 3d6 averages 10.5 before modifiers. It applies the formula Mean = n × (d + 1) ÷ 2 + modifier and shows the working so you can check each step by hand.
Is the Dice Roller free, and do I need an account?
It is completely free with no sign-up, no download and no usage limit. Everything is calculated in your browser, so the numbers you type never leave your device.
Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.