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.