8d6 = 33
Rolling 8 dice, 82384 of the 1,679,616 outcomes add up to 33 — a 4.9% chance.
Probability
4.9%
Ways for each sum
- Ways to roll it
- 82,384 / 1,679,616
- Probability
- 4.9%
- One roll in
- 20.39
- This or higher
- 17.89%
- This or lower
- 87.02%
- Average sum
- 28
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 33 on 8 dice?
4.9% — 82384 of 1,679,616 possible rolls, or roughly one roll in 20.39.
Q. How often do I roll 33 or more?
17.89% of the time. Rolling 33 or less happens 87.02% of the time.
Q. What is the most likely sum with this many dice?
Something near the average of 28. 9 sums come up more often than 33.
Q. Will it definitely turn up if I keep rolling?
No. Each roll is independent of the last. One in 20.39 is a long-run average, not a schedule.