Dice odds·11d6 = 38

11d6 = 38

Rolling 11 dice, 25090131 of the 362,797,056 outcomes add up to 38 — a 6.92% chance. It is the most likely sum with this many dice.

Probability

6.92%

Ways for each sum
11162126313638414651566166
Ways to roll it
25,090,131 / 362,797,056
Probability
6.92%
One roll in
14.46
This or higher
56.92%
This or lower
50%
Average sum
38.5

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 38 on 11 dice?

6.92% — 25090131 of 362,797,056 possible rolls, or roughly one roll in 14.46.

Q. How often do I roll 38 or more?

56.92% of the time. Rolling 38 or less happens 50% of the time.

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

This one. The average sum is 38.5.

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

No. Each roll is independent of the last. One in 14.46 is a long-run average, not a schedule.