Roll 3 Dice

Press Roll to roll 3 six-sided dice at once and see each die plus the total, which runs from 3 to 18. All three dice match (a triple) 2.78% of the time, at least two match 44.44% of the time, and all three are different 55.56% of the time. It works for Bunco, Sic Bo and any three-dice game.

Bonus

d20 3D dice Dice colour

Odds when you roll 3 dice

Event	Chance
All 3 dice show the same number	2.7778%
At least two dice match	44.44%
Every die is different	55.56%
At least one 6	42.13%
No 6s at all	57.87%

Total of 3d6

The total ranges from 3 to 18, averages 10.5, and is most likely to be 10.

Total	Chance	This or higher
3	0.46%	100%
4	1.39%	99.54%
5	2.78%	98.15%
6	4.63%	95.37%
7	6.94%	90.74%
8	9.72%	83.8%
9	11.57%	74.07%
10	12.5%	62.5%
11	12.5%	50%
12	11.57%	37.5%
13	9.72%	25.93%
14	6.94%	16.2%
15	4.63%	9.26%
16	2.78%	4.63%
17	1.39%	1.85%
18	0.46%	0.46%

Games that use 3 dice

Bunco: A party game played in six rounds, one for each number from 1 to 6. On your turn you roll three dice and score a point for every die that matches the round number. Rolling all three of the round number is a "Bunco," worth the most points, and it only happens 0.46% of the time (1 in 216). House rules for scoring vary, so agree on them first.

Sic Bo and Chuck-a-luck: These are betting games built around three dice. Players bet on totals, on a specific number appearing, or on a triple. Any triple comes up 1 time in 36 (2.78%), while a specific triple like three 4s is 1 in 216. They make good practice for seeing how three dice behave.

Classroom and party games: Three dice are popular for math games where kids add, subtract or multiply the dice to hit a target number, and for drinking or party games where a pair or triple triggers a rule. For D&D, the 3d6 roller is the same roll in dice notation, with ability score odds.

Roll 3 Dice FAQ

What are the odds of rolling a triple with 3 dice?

The chance that all three dice match is 1 in 36, or 2.78%. The chance of one specific triple, such as three 6s, is 1 in 216, or 0.46%.

What are the odds of a pair with 3 dice?

At least two of three dice match 44.44% of the time (96 of 216 outcomes). That includes triples.

What is the average total of 3 dice?

The average total of three six-sided dice is 10.5. 10 and 11 are the most common totals, at 12.5% each.

How many dice do you need for Bunco?

Standard Bunco uses three six-sided dice per table. Press Roll here to roll all three at once.

Other dice

About this roller

DnD Dice Roller (dnddiceroller.org) rolls every die with your browser's cryptographically secure random number generator, crypto.getRandomValues, and uses rejection sampling so every face is exactly equally likely. The 3D dice only animate a result that has already been decided this way; the physics never picks the number. Rolls happen on your device and are never sent to our server.

The site is built and maintained by Farooq Choudhary at Ozeito, which also publishes the DnD Dice Roller app for Android and iOS. Found a problem? Contact us.

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Contains content from the System Reference Document 5.1 and 5.2 by Wizards of the Coast LLC, used under the Creative Commons Attribution 4.0 International License.