🎲 Dice Probability Calculator

Enter the number of dice and number of sides per die to see the exact probability of rolling each possible sum.

Number of Dice

Sides per Die

Counting ways, not guessing

Nothing here is simulated. The tool counts how many of the possible rolls make each total by building the distribution one die at a time, then divides:

total outcomes = sides ^ dice
P(sum) = ways to make that sum / total outcomes

Two six-sided dice have 6² = 36 ordered outcomes. Seven can be made six ways - 1+6, 2+5, 3+4 and their mirrors - so 6/36 = 16.67%, while snake eyes has the single way 1+1 and comes in at 2.78%. Each row shows both the count and the percentage, so you can sanity-check the arithmetic yourself.

Reading the spread

Total on 2d6	Ways	Odds
2 or 12	1	2.78%
3 or 11	2	5.56%
6 or 8	5	13.89%
7	6	16.67%

Adding dice does not just raise the total, it narrows the shape: 3d6 covers 3 to 18 across 216 outcomes, but 48% of rolls land between 9 and 12. That is why a 2d6 game feels swingier than a 3d6 one even after you allow for the different averages.

Set the dice count to 1 and every face is equally likely, so the "most likely" badge simply reports the lowest total. It only means something once two or more dice are in play.

Frequently asked questions

What are the odds of rolling a 7 with two dice?

16.67%, or 6 chances in 36. Seven is the most likely total on 2d6 because it is the only one every face can contribute to - whatever the first die shows, exactly one face on the second completes it.

What is the most likely roll with three dice?

10 and 11 tie, at 27 ways each out of 216, so 12.5% apiece. The badge names 10 because it reports the lowest total when there is a tie.

How many outcomes do four dice have?

1,296 for four six-sided dice, since 6² is 36 and 6⁴ is 1,296. The possible totals run 4 to 24, and 14 is the peak with 146 of those outcomes, about 11.3%.