12d6 = 38
Rolling 12 dice, 116523342 of the 2,176,782,336 outcomes add up to 38 — a 5.35% chance.
Probability
5.35%
Ways for each sum
- Ways to roll it
- 116,523,342 / 2,176,782,336
- Probability
- 5.35%
- One roll in
- 18.68
- This or higher
- 77.44%
- This or lower
- 27.92%
- Average sum
- 42
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 12 dice?
5.35% — 116523342 of 2,176,782,336 possible rolls, or roughly one roll in 18.68.
Q. How often do I roll 38 or more?
77.44% of the time. Rolling 38 or less happens 27.92% of the time.
Q. What is the most likely sum with this many dice?
Something near the average of 42. 7 sums come up more often than 38.
Q. Will it definitely turn up if I keep rolling?
No. Each roll is independent of the last. One in 18.68 is a long-run average, not a schedule.