Dice odds·6d6 = 21

6d6 = 21

Rolling 6 dice, 4332 of the 46,656 outcomes add up to 21 — a 9.28% chance. It is the most likely sum with this many dice.

Probability

9.28%

Ways for each sum
6111621263136
Ways to roll it
4,332 / 46,656
Probability
9.28%
One roll in
10.77
This or higher
54.64%
This or lower
54.64%
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 21 on 6 dice?

9.28% — 4332 of 46,656 possible rolls, or roughly one roll in 10.77.

Q. How often do I roll 21 or more?

54.64% of the time. Rolling 21 or less happens 54.64% of the time.

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

This one. The average sum is 21.

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

No. Each roll is independent of the last. One in 10.77 is a long-run average, not a schedule.