Dice odds·6d6 = 22

6d6 = 22

Rolling 6 dice, 4221 of the 46,656 outcomes add up to 22 — a 9.05% chance.

Probability

9.05%

Ways for each sum
611162122263136
Ways to roll it
4,221 / 46,656
Probability
9.05%
One roll in
11.05
This or higher
45.36%
This or lower
63.69%
Average sum
21

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 22 on 6 dice?

9.05% — 4221 of 46,656 possible rolls, or roughly one roll in 11.05.

Q. How often do I roll 22 or more?

45.36% of the time. Rolling 22 or less happens 63.69% of the time.

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

Something near the average of 21. 1 sums come up more often than 22.

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

No. Each roll is independent of the last. One in 11.05 is a long-run average, not a schedule.