Odds of rolling 10 on 3d6

One of the two joint peaks for three dice.

Chance per roll
12.50%

27 of the 216 ways 3 6-sided dice land add up to 10 — about one roll in 8.0. Among the 16 totals 3d6 can make, that is the likeliest total — tied with 1 other, since the distribution is symmetric.

34567891011121314151617180%4%8%12%16%

Every total 3d6 can roll, with 10 picked out. The peak is 10 at 12.50%.

Exactly 10, or past it?

Plenty of games ask you to beat a number rather than hit it, and the two are not close.

Exactly 1012.50%
10 or more62.50%
10 or less50.00%

The 27 ways to make it

Too many to list usefully — 27 ordered combinations out of 216. Ordered is the point: with two dice, 1 and 6 is a different outcome from 6 and 1, and counting them as one is the commonest way to get dice odds wrong.

Other rolls worth knowing

Need a pool that isn’t here? The calculator takes any number of dice with any number of sides.

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