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Independent Probability Tool
Cube (Hexahedron) • 6 Faces

D6 Roller

A D6 is a classic six-sided cube die with faces numbered from 1 to 6. Each face has an identical 1 in 6 (16.67%) chance of appearing on any roll.

Dice Tray
1d6
Click button or press Space to roll
Total Result
-- Ready
Roll Breakdown
Roll the dice to see outcome
Select Die Type Standard Polyhedral Set
Roll Configuration Quantity & Modifiers
1 – 100
2 – 1000
± bonus
âš™ Advanced Expression (NdM±K) â–¼
Shortcuts:
âš¡ Quick Dice Rolls 1-Click instant roll

Saved Presets

Roll History

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Exact Mathematical Probability

Combinatorial Engine

Calculates discrete binomial distributions, probability density, and cumulative odds for the active dice expression.

Range (Min - Max) --
Theoretical Average --
Most Likely (Mode) --
Total Permutations --
Query Target Probability
Exactly ( = X ) --%
At Least ( ≥ X ) --%
At Most ( ≤ X ) --%
Probability Density Distribution Hover / tap bar to view odds
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.

Trials --
Mean (Avg) --
Median --
Mode --
Min --
Max --
Sum --

Empirical Frequency Table

Roll Total Hits (Count) Frequency Bar Percentage
Click "Run Trials" to simulate rolls and generate frequency data.

About the D6 (Cube (Hexahedron))

The D6 is the most widely recognized die across the globe, foundational to classic board games (Monopoly, Yahtzee, Risk) as well as tabletop war games (Warhammer) and roleplaying systems (Shadowrun, GURPS, D&D short swords and fireballs).

Geometric Properties

Regular hexahedron (cube) possessing 6 square faces, 8 vertices, and 12 edges. Opposite faces conventionally add up to 7 (1 opposite 6, 2 opposite 5, 3 opposite 4).

Common Tabletop & Gaming Uses

  • • Standard family board games: Monopoly, Yahtzee, Catan, Backgammon, Craps
  • • Tabletop RPG spells like Fireball (8d6) and sneak attack damage
  • • Character stat generation (4d6 drop the lowest)
  • • Warhammer 40k hit rolls, wound rolls, and armor saves

D6 Probability Basics

Single D6 distribution is flat (uniform). Rolling multiple D6s (like 2D6 or 3D6) creates a bell-shaped binomial curve clustered around the median.

Minimum Roll 1
Maximum Roll 6
Theoretical Average 3.5
Odds Per Face 1 in 6 (16.67%)
Face Value Theoretical Odds Exact Percentage
1 1/6 16.67%
2 1/6 16.67%
3 1/6 16.67%
4 1/6 16.67%
5 1/6 16.67%
6 1/6 16.67%

Related Dice & Combinations

2D6 Roller → 3D6 Roller → 4D6 Roller → D8 Roller →

Frequently Asked Questions About D6

What is the expected value of a single D6 roll?
The average of a standard fair 6-sided die is (1 + 2 + 3 + 4 + 5 + 6) / 6 = 3.5.
What are the chances of rolling a 6 on a D6?
The chance of rolling a 6 on a single fair D6 is 1/6, which is approximately 16.67%.
How do you roll 2D6 or 3D6 on this page?
You can increase the dice quantity selector on the roller, or visit our dedicated 2D6 and 3D6 pages for specialized probability curves.