Dice odds·9d6 = 31

9d6 = 31

Rolling 9 dice, 767394 of the 10,077,696 outcomes add up to 31 — a 7.61% chance. It is the most likely sum with this many dice.

Probability

7.61%

Ways for each sum
914192429313439444954
Ways to roll it
767,394 / 10,077,696
Probability
7.61%
One roll in
13.13
This or higher
57.61%
This or lower
50%
Average sum
31.5

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 31 on 9 dice?

7.61% — 767394 of 10,077,696 possible rolls, or roughly one roll in 13.13.

Q. How often do I roll 31 or more?

57.61% of the time. Rolling 31 or less happens 50% of the time.

Q. What is the most likely sum with this many dice?

This one. The average sum is 31.5.

Q. Will it definitely turn up if I keep rolling?

No. Each roll is independent of the last. One in 13.13 is a long-run average, not a schedule.