Dice Probability Calculator
Odds of hitting any total on any number of dice.
Enter your values
Enter the number of dice you are working with.
Enter the sides per die you are working with.
Enter the target total 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.
- Chance of exactly 9
- 11.111%
- Chance of 9 or higher
- 27.778%
- Chance of 9 or lower
- 83.333%
- Average roll
- 7
- Total possible outcomes
- 36
Working
- 14 of 36 outcomes sum to 9.
Quick answer
The probability of a dice total is the count of favourable outcomes divided by all possible outcomes across the dice.
At a glance
| What it does | Odds of hitting any total on any number of dice. |
|---|---|
| Category | Gaming |
| Inputs needed | Number of dice, Sides per die, Target total |
| Main output | Chance of exactly 9 |
| Cost | Free — no sign-up, no download |
How to use the Dice Probability Calculator
- 1Set how many dice you are rolling.
- 2Set the number of sides.
- 3Enter the target total.
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.
- Target total
- Enter the target total you are working with.
Worked example
Using the values the calculator loads with:
Inputs
- Number of dice2
- Sides per die6
- Target total9
Results
- Chance of exactly 911.111%
- Chance of 9 or higher27.778%
- Chance of 9 or lower83.333%
- Average roll7
- Total possible outcomes36
- 4 of 36 outcomes sum to 9.
Frequently asked questions
Why is 7 the most likely on 2d6?
It has the most combinations — six of the 36 possible pairs sum to seven, more than any other total.
What is the average of 3d6?
10.5, since each die averages 3.5. Real rolls cluster tightly around it thanks to the central limit effect.
What do I need to enter into the Dice Probability Calculator?
Just 3 values: number of dice, sides per die, target total. 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 Probability Calculator work out the answer?
The probability of a dice total is the count of favourable outcomes divided by all possible outcomes across the dice. The working is shown step by step so you can verify the result by hand.
Is the Dice Probability Calculator 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.