Dice Sum Probability Calculator
Probability of rolling a specific sum with two dice.
Enter your values
Enter the target sum 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.
- Ways to roll sum
- 6 of 36
- Probability
- 16.667%
- Odds
- 1 in 6
Quick answer
For two standard dice, the probability of a sum is the number of ordered pairs producing that sum divided by 36.
P(sum=s) = ways(s) / 36
At a glance
| What it does | Probability of rolling a specific sum with two dice. |
|---|---|
| Category | Statistics |
| Inputs needed | Target sum |
| Main output | Ways to roll sum |
| Formula | P(sum=s) = ways(s) / 36 |
| Cost | Free — no sign-up, no download |
How to use the Dice Sum Probability Calculator
- 1Enter the target sum you want the probability for (2 through 12).
- 2The tool counts every ordered pair of dice faces that add up to that sum.
- 3Divide the count by 36, the total number of equally likely outcomes.
Inputs explained
- Target sum
- Enter the target sum you are working with.
Worked example
Using the values the calculator loads with:
Inputs
- Target sum7
Results
- Ways to roll sum6 of 36
- Probability16.667%
- Odds1 in 6
Frequently asked questions
Why 36 outcomes?
Two six-sided dice have 6x6=36 equally likely ordered outcomes.
Which sum is most likely?
7 is most likely, with 6 ways out of 36 (about 16.7%).
What do I need to enter into the Dice Sum Probability Calculator?
Just 1 value: target sum. 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 Sum Probability Calculator work out the answer?
For two standard dice, the probability of a sum is the number of ordered pairs producing that sum divided by 36. It applies the formula P(sum=s) = ways(s) / 36 and shows the working so you can check each step by hand.
Is the Dice Sum 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.