Closest CallThree dice odds (3d6)
The chance of every total from 3 to 18 with three six-sided dice.
Every total with three dice
Three six-sided dice have 216 equally likely combinations and average 10.5. Totals of 10 and 11 are the most common.
| Total | Ways to roll it | Chance | Chance of this or higher |
|---|---|---|---|
| 3 | 1 | 0.46% | 100.0% |
| 4 | 3 | 1.39% | 99.5% |
| 5 | 6 | 2.78% | 98.1% |
| 6 | 10 | 4.63% | 95.4% |
| 7 | 15 | 6.94% | 90.7% |
| 8 | 21 | 9.72% | 83.8% |
| 9 | 25 | 11.6% | 74.1% |
| 10 | 27 | 12.5% | 62.5% |
| 11 | 27 | 12.5% | 50.0% |
| 12 | 25 | 11.6% | 37.5% |
| 13 | 21 | 9.72% | 25.9% |
| 14 | 15 | 6.94% | 16.2% |
| 15 | 10 | 4.63% | 9.26% |
| 16 | 6 | 2.78% | 4.63% |
| 17 | 3 | 1.39% | 1.85% |
| 18 | 1 | 0.46% | 0.46% |
What the chart tells you
- 10 and 11 are the most likely totals, at 12.5% each.
- Half of all rolls are 11 or more (50.0%), and half are 10 or less.
- A total of 15 or more comes up 9.26% of the time, and 16 or more 4.63%.
- An 18 needs three sixes: 0.46%, or 1 in 216. A 3 is just as rare.
- Any triple (all three dice the same): 2.78%, or 1 in 36.
Where this matters
Rolling three dice and adding them is the classic way to generate character statistics in tabletop role-playing games, and several dice games score on the three-dice total. Because the totals bunch around 10 and 11, extreme scores are much rarer than they look: you are about 27 times more likely to roll a 10 than an 18.
More dice odds
- Dice odds library: every chart in one place
- Two dice (2d6) odds chart
- 4d6 drop the lowest: ability score odds
- d20 with advantage and disadvantage
- Five of a kind and other five-dice odds
- Attacker against defender dice odds
- Two twenty-sided dice (2d20) odds chart
- At least one six in 1 to 10 rolls
- Dice calculator: the exact odds for any total with any number of dice, plus a dice roller.
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Every figure on this page was computed by counting all possible outcomes. Game names mentioned here are trademarks of their owners; this site is not affiliated with or endorsed by them.