3d6 = 10
Rolling 3 dice, 27 of the 216 outcomes add up to 10 — a 12.5% chance. It is the most likely sum with this many dice.
Probability
12.5%
Ways for each sum
- Ways to roll it
- 27 / 216
- Probability
- 12.5%
- One roll in
- 8
- This or higher
- 62.5%
- This or lower
- 50%
- Average sum
- 10.5
Nearby sums
Rolls with similar odds
A different number of dice can land on much the same chance.
How to read this
- Two dice do not land evenly. There are six ways to make 7 and only one way to make 2.
- The more dice, the tighter the middle. With six dice almost everything lands near 21, while 6 or 36 turns up about once in 47,000 rolls.
- The average sum is 3.5 per die, because one die averages 3.5.
- Rare is not never — but nor is it due. Roll two dice thirty-six times and there is still roughly a 36% chance you never see a 2.
Frequently asked questions
Q. What are the odds of rolling 10 on 3 dice?
12.5% — 27 of 216 possible rolls, or roughly one roll in 8.
Q. How often do I roll 10 or more?
62.5% of the time. Rolling 10 or less happens 50% of the time.
Q. What is the most likely sum with this many dice?
This one. The average sum is 10.5.
Q. Will it definitely turn up if I keep rolling?
No. Each roll is independent of the last. One in 8 is a long-run average, not a schedule.