Odds of rolling 16 on 3d6
Chance per roll
2.78%
6 of the 216 ways 3 6-sided dice land add up to 16 — about one roll in 36.0. Among the 16 totals 3d6 can make, that is the 6th least likely of 16 — tied with 1 other, since the distribution is symmetric.
Every total 3d6 can roll, with 16 picked out. The peak is 10 at 12.50%.
Exactly 16, or past it?
Plenty of games ask you to beat a number rather than hit it, and the two are not close.
| Exactly 16 | 2.78% |
| 16 or more | 4.63% |
| 16 or less | 98.15% |
The 6 ways to make it
Every one of them, which is the whole proof of the figure above — count the rows, divide by 216.
Other rolls worth knowing
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