10d6 = 40
Rolling 10 dice, 2930455 of the 60,466,176 outcomes add up to 40 — a 4.85% chance.
Probability
4.85%
Ways for each sum
- Ways to roll it
- 2,930,455 / 60,466,176
- Probability
- 4.85%
- One roll in
- 20.63
- This or higher
- 20.5%
- This or lower
- 84.35%
- Average sum
- 35
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 40 on 10 dice?
4.85% — 2930455 of 60,466,176 possible rolls, or roughly one roll in 20.63.
Q. How often do I roll 40 or more?
20.5% of the time. Rolling 40 or less happens 84.35% of the time.
Q. What is the most likely sum with this many dice?
Something near the average of 35. 9 sums come up more often than 40.
Q. Will it definitely turn up if I keep rolling?
No. Each roll is independent of the last. One in 20.63 is a long-run average, not a schedule.