D12 Roller
A D12 is a 12-sided die shaped like a regular dodecahedron with outcomes from 1 to 12. Each face has an 8.33% chance of occurring.
âš™ Advanced Expression (NdM±K) â–¼
Saved Presets
Roll History
0Exact Mathematical Probability
Combinatorial EngineCalculates discrete binomial distributions, probability density, and cumulative odds for the active dice expression.
View Full Probability Table & Combinations â–¼
| Total | Ways | Exact % | ≥ At Least | ≤ At Most |
|---|
Roll N Times (Multi-Trial Simulation)
Execute up to 10,000 repeated trials to calculate empirical distributions and statistics.
Empirical Frequency Table
| Roll Total | Hits (Count) | Frequency Bar | Percentage |
|---|---|---|---|
| Click "Run Trials" to simulate rolls and generate frequency data. | |||
About the D12 (Regular Dodecahedron)
The D12 is mathematically one of the most balanced Platonic solids. In tabletop gaming, it is beloved as the signature die of Barbarians (their hit die and greataxe damage) and for determining hours of the day, months of the year, or astrological constellations.
Geometric Properties
Regular dodecahedron featuring 12 congruent regular pentagonal faces, 20 vertices, and 30 edges. Its smooth rolling dynamics make it one of the most satisfying physical dice.
Common Tabletop & Gaming Uses
- • Greataxe damage (1d12 slashing damage)
- • Barbarian class hit die
- • Spells like Witch Bolt and Poison Spray at higher tiers
- • Randomizing clock hours (1–12) or zodiac/calendar charts
D12 Probability Basics
Each face from 1 to 12 has an equal 8.333% probability.
| Face Value | Theoretical Odds | Exact Percentage |
|---|---|---|
| 1 | 1/12 | 8.33% |
| 2 | 1/12 | 8.33% |
| 3 | 1/12 | 8.33% |
| 4 | 1/12 | 8.33% |
| 5 | 1/12 | 8.33% |
| 6 | 1/12 | 8.33% |
| 7 | 1/12 | 8.33% |
| 8 | 1/12 | 8.33% |
| 9 | 1/12 | 8.33% |
| 10 | 1/12 | 8.33% |
| 11 | 1/12 | 8.33% |
| 12 | 1/12 | 8.33% |