Ten d6 in D&D
- Fireball and Lightning Bolt do 8d6 from a 3rd-level slot and one more d6 for each slot level above that, so a 5th-level slot throws 10d6, average 35, or 17 on a successful save.
- Sneak Attack reaches 10d6 at 19th level, the most it ever gets.
- Disintegrate is 10d6 + 40, average 75. Set the modifier to 20 and add another 20 in your head, or type it into the dice generator.
With ten dice the total is very predictable: it lands between 29 and 41 about three rolls in four.
The odds of a 10d6 total
There are 60,466,176 ways ten d6s can land. Counting them all:
| Total | Exactly | Or higher |
|---|---|---|
| 20 | 0.14% | 99.9% |
| 25 | 1.4% | 97.5% |
| 30 | 4.8% | 84.3% |
| 35 | 7.3% | 53.6% |
| 40 | 4.8% | 20.5% |
| 45 | 1.4% | 3.9% |
| 50 | 0.14% | 0.29% |
| 60 | 1 in 60 million | 1 in 60 million |
Thirty-five is the most likely total. The other totals fall away evenly on both sides, so 30 and 40 are exactly as likely as each other.
Dice pools
Pool games roll a handful of dice and count the ones that hit a target instead of adding them up. In Shadowrun, each die showing 5 or 6 is a hit, so ten dice give about 3.3 hits on average. The roller shows every die, so you can count your hits straight off the result.
| Hits | Exactly | At least |
|---|---|---|
| 0 | 1.7% | 100% |
| 1 | 8.7% | 98.3% |
| 2 | 19.5% | 89.6% |
| 3 | 26.0% | 70.1% |
| 4 | 22.8% | 44.1% |
| 5 | 13.7% | 21.3% |
| 6 or more | 7.7% | 7.7% |
Even more dice
This roller goes up to 20 dice: the 20 dice roller holds a full handful, and the 8d6 roller and 6d6 roller sit below it. For odds of any roll, use the dice calculator. The main roller takes bigger mixes and saves the ones you use every session.
Spells that roll 10d6
Base damage in the SRD, before upcasting or cantrip levels.
- Freezing Sphere (6th level)
- Wall of Ice (6th level)
Questions
What does 10d6 mean?
Ten six-sided dice, added together. The first number is how many dice, the second how many sides, so 10d6 totals anywhere from 10 to 60. The Dice Notation Guide covers the rest.
What is the average of 10d6?
Thirty-five. Each d6 averages 3.5, and ten of them make 35. It is also the single most likely total, at 7.3% of rolls.
How much damage does a 5th-level Fireball do?
Ten d6 of fire damage, average 35, to every creature in a 20-foot-radius sphere that fails a Dexterity saving throw. A creature that succeeds takes half.
What are the odds of at least one 6 on ten dice?
About 83.8%. The chance of no 6 on any of the ten is (5/6) to the tenth power, 16.2%.
What are the odds of rolling 60 on 10d6?
One in 60,466,176. Every one of the ten dice has to show a 6. Even 50 or more comes up only about three rolls in a thousand.
Is this 10d6 roller fair?
Yes. Each die comes from your browser's cryptographic random number generator with no bias towards any face, and every die is shown before it is added.