12d6 = 45
Rolling 12 dice, 128184068 of the 2,176,782,336 outcomes add up to 45 — a 5.89% chance.
Probability
5.89%
Ways for each sum
- Ways to roll it
- 128,184,068 / 2,176,782,336
- Probability
- 5.89%
- One roll in
- 16.98
- This or higher
- 33.81%
- This or lower
- 72.08%
- 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 45 on 12 dice?
5.89% — 128184068 of 2,176,782,336 possible rolls, or roughly one roll in 16.98.
Q. How often do I roll 45 or more?
33.81% of the time. Rolling 45 or less happens 72.08% of the time.
Q. What is the most likely sum with this many dice?
Something near the average of 42. 5 sums come up more often than 45.
Q. Will it definitely turn up if I keep rolling?
No. Each roll is independent of the last. One in 16.98 is a long-run average, not a schedule.