7d6 = 21
Rolling 7 dice, 18327 of the 279,936 outcomes add up to 21 — a 6.55% chance.
Probability
6.55%
Ways for each sum
- Ways to roll it
- 18,327 / 279,936
- Probability
- 6.55%
- One roll in
- 15.27
- This or higher
- 80.83%
- This or lower
- 25.72%
- 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 21 on 7 dice?
6.55% — 18327 of 279,936 possible rolls, or roughly one roll in 15.27.
Q. How often do I roll 21 or more?
80.83% of the time. Rolling 21 or less happens 25.72% of the time.
Q. What is the most likely sum with this many dice?
Something near the average of 24.5. 6 sums come up more often than 21.
Q. Will it definitely turn up if I keep rolling?
No. Each roll is independent of the last. One in 15.27 is a long-run average, not a schedule.