Dice odds·6d6 = 18

6d6 = 18

Rolling 6 dice, 3431 of the 46,656 outcomes add up to 18 — a 7.35% chance.

Probability

7.35%

Ways for each sum
611161821263136
Ways to roll it
3,431 / 46,656
Probability
7.35%
One roll in
13.6
This or higher
79.42%
This or lower
27.94%
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 18 on 6 dice?

7.35% — 3431 of 46,656 possible rolls, or roughly one roll in 13.6.

Q. How often do I roll 18 or more?

79.42% of the time. Rolling 18 or less happens 27.94% of the time.

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

Something near the average of 21. 5 sums come up more often than 18.

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

No. Each roll is independent of the last. One in 13.6 is a long-run average, not a schedule.