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Independent Probability Tool
2 Dice • Range 2 - 12

2D6 Roller

Rolling 2D6 produces a total between 2 and 12 with an expected average of 7. The total 7 is the single most likely roll with a 1 in 6 (16.67%) chance.

Dice Tray
2d6
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

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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.

Probability Curve & Mathematical Mechanics

The 2D6 roll is the quintessential dual-die system in tabletop gaming. Unlike a single die where every outcome has identical odds, summing two six-sided dice creates a triangular probability distribution that clusters strongly toward the center (7).

There are 6 × 6 = 36 total permutations. The sum of 7 has 6 distinct combinations (1+6, 2+5, 3+4, 4+3, 5+2, 6+1), giving it a 16.67% chance. The extremes (2 and 12) have only 1 combination each (1+1 and 6+6), resulting in only a 2.78% probability.

Prominent Tabletop Games Using 2D6

  • • Settlers of Catan resource production (numbers 2 through 12, excluding 7 robber activation)
  • • Powered by the Apocalypse (PbtA) moves (10+ full success, 7–9 partial success, 6- miss)
  • • Casino Craps (pass line bets, come out roll 7 or 11 win, 2, 3, or 12 craps)
  • • Greatsword and Maul damage in fantasy RPGs (2d6 slashing/bludgeoning)

2D6 Distribution Overview

Min Total 2
Max Total 12
Average 7
Most Likely 7 (16.67% probability)
Total Sum Permutations Exact Probability
2 1/36 2.78%
3 2/36 5.56%
4 3/36 8.33%
5 4/36 11.11%
6 5/36 13.89%
7 6/36 16.67%
8 5/36 13.89%
9 4/36 11.11%
10 3/36 8.33%
11 2/36 5.56%
12 1/36 2.78%

Explore Related Dice Systems

3D6 Roller → 4D6 Roller → D6 Roller → D12 Roller →

Frequently Asked Questions About 2D6

What is the most common roll on 2D6?
The number 7 is the most common roll on 2D6, with 6 out of 36 combinations (16.67%).
What are the odds of rolling snake eyes (two 1s)?
Rolling a total of 2 (1 + 1) has a 1 in 36 chance, or approximately 2.78%.
What is the chance of rolling at least 8 on 2D6?
The combinations for 8, 9, 10, 11, and 12 sum to 5 + 4 + 3 + 2 + 1 = 15 out of 36, or 41.67%.