D10 Roller
A D10 is a 10-sided die shaped like a pentagonal trapezohedron with numbered faces from 0 to 9 or 1 to 10, each possessing a 10% probability.
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0Exact Mathematical Probability
Combinatorial EngineCalculates discrete binomial distributions, probability density, and cumulative odds for the active dice expression.
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| 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 D10 (Pentagonal Trapezohedron)
The D10 is the core die for decimal-based RPG mechanics like the World of Darkness / Storyteller system and Cyberpunk. Paired with a tens-digit die, two D10s form the standard D100 (percentile) system.
Geometric Properties
Pentagonal trapezohedron featuring 10 kite-shaped faces, 12 vertices, and 20 edges. Unlike Platonic solids, its faces are kites rather than regular polygons, but all 10 faces are congruent and fair.
Common Tabletop & Gaming Uses
- • Heavy weapons like Halberds, Glaives, and Pikes
- • Hit dice for Fighters, Paladins, and Rangers
- • Cantrips like Eldritch Blast and Fire Bolt (1d10 force/fire damage)
- • Combined with another D10 to roll percentile (D100) tables
D10 Probability Basics
Every outcome on a single 1–10 die has exactly a 10.00% probability.
| Face Value | Theoretical Odds | Exact Percentage |
|---|---|---|
| 1 | 1/10 | 10.00% |
| 2 | 1/10 | 10.00% |
| 3 | 1/10 | 10.00% |
| 4 | 1/10 | 10.00% |
| 5 | 1/10 | 10.00% |
| 6 | 1/10 | 10.00% |
| 7 | 1/10 | 10.00% |
| 8 | 1/10 | 10.00% |
| 9 | 1/10 | 10.00% |
| 10 | 1/10 | 10.00% |