Dice Probability & Board Game (D&D / RPG) Calculator

Calculate dice sum probabilities, expected values, success thresholds, and doubles odds for 2d6, 3d6, d20, and tabletop RPGs.

Formula

Probability = Favorable Outcomes / (Sides ^ Dice Count) | Expected Value = N × (Sides + 1) / 2

Source / method note

Based on discrete probability distributions and combinatorial sample space ($S = \text{faces}^N$).

Legal / official rate note

Calculations represent theoretical mathematical probabilities for fair dice.

Frequently Asked Questions

What is the most likely roll with two 6-sided dice?

7 is the most probable sum with 2d6, with a 6 in 36 (16.67%) chance.

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