Dice odds·7d6 = 20

7d6 = 20

Rolling 7 dice, 15267 of the 279,936 outcomes add up to 20 — a 5.45% chance.

Probability

5.45%

Ways for each sum
71217202227323742
Ways to roll it
15,267 / 279,936
Probability
5.45%
One roll in
18.34
This or higher
86.28%
This or lower
19.17%
Average sum
24.5

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 20 on 7 dice?

5.45% — 15267 of 279,936 possible rolls, or roughly one roll in 18.34.

Q. How often do I roll 20 or more?

86.28% of the time. Rolling 20 or less happens 19.17% of the time.

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

Something near the average of 24.5. 8 sums come up more often than 20.

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

No. Each roll is independent of the last. One in 18.34 is a long-run average, not a schedule.