About the Dice Probability Calculator
When you roll several dice, some totals are far more likely than others. This calculator counts every way the dice can fall to give the total you choose and divides by all possible outcomes. It shows the chance of the exact total, of at least that total and of at most that total, plus the average and the most likely totals. Type the number of dice, sides and the target total and the dice probability appears at once, with a few related figures underneath, and you can copy the result with one tap. The sums run in your browser, so nothing you enter is uploaded.
Updated October 2026
How to use the Dice Probability Calculator
- 1Enter the number of dice, sides and the target total.
- 2Pick the units or options from the menus if the dice probability tool offers them.
- 3Read the dice probability in the large result box.
- 4Look at the extra rows for related figures.
- 5Press Copy result to keep the answer.
When you need the dice probability
Game players, Dungeons and Dragons fans, students and designers use it to check odds.
The totals in the middle are the most common. With two dice the most likely sum is 7, while 2 and 12 each have only one way.
How the dice probability is worked out
Probability = ways to make the total ÷ sides^dice. At least and at most add up the ways on either side. With two six-sided dice, 6 of the 36 outcomes make 7, so the chance is 16.67%. The chance of rolling at least 10 is 6 ÷ 36 = 16.67%.
Every answer on this page comes from that one rule, so you can check any result by hand with a calculator. The figures shown underneath, such as other units, are conversions of the same answer.
- Exact, at least, at most
- Most likely totals
- Any dice and sides
Mistakes to avoid with dice probability
Dice are independent: a previous roll does not change the next. Use the right number of sides, such as 20 for a d20.
On phone and computer
On a phone, type into the boxes one after another and read the dice probability underneath; Copy result puts it on the clipboard for a message or a note. On a computer the inputs sit on the left and the answer on the right, so you can change one figure and watch the dice probability move. The dice probability calculator works the same on both.
Checking your dice probability by hand
A good habit is to test the dice probability calculator with a case you already know. With two six-sided dice, 6 of the 36 outcomes make 7, so the chance is 16.67%. The chance of rolling at least 10 is 6 ÷ 36 = 16.67%.
If your own figures give a surprising answer, repeat the working yourself: Probability = ways to make the total ÷ sides^dice. At least and at most add up the ways on either side. Small differences usually come from rounding, from mixing units, or from a typing slip in one of the inputs. A table of dice odds gets more fun when you can roll the dice yourself. Use the Dice Roller for a random result, the Probability Calculator for other chance questions, and the Permutation and Combination Calculator to count the ways an outcome can happen.
Features
- Rolls are independent
- Set the correct sides
- Large dice counts have a limit
- Clear messages when the dice probability inputs make no sense
- Copy the result with one tap
- Private: nothing is uploaded
Frequently asked questions
How do I calculate dice probability?
Probability = ways to make the total ÷ sides^dice. At least and at most add up the ways on either side. With two six-sided dice, 6 of the 36 outcomes make 7, so the chance is 16.67%. The chance of rolling at least 10 is 6 ÷ 36 = 16.67%.
What is the formula for dice probability?
Probability = ways to make the total ÷ sides^dice. At least and at most add up the ways on either side. The dice probability calculator applies it exactly and rounds only the displayed answer to six significant figures.
What is the chance of a 7 with two dice?
1 in 6, or 16.67%.
Why is 7 the most likely?
It has the most combinations: six.
Does it work for a d20?
Yes, set the sides to 20.
Is this dice probability calculator free and private?
Yes. It is free, needs no account and runs in your browser, so the numbers you type are not uploaded or stored.