Dice Probability Calculator

Understanding dice rolling probabilities

Roll distributions are calculated using successive convolutions of discrete uniform vectors representing die faces. When keeping or dropping dice (such as D&D 5e character stat generation where you roll 4d6 and keep the highest 3), the variables become dependent, requiring exact combination trees or Monte Carlo simulations.

This calculator allows modeling mixed pools (e.g. 2d6 + 1d10), applying static bonuses, and inspecting cumulative thresholds (at least/at most probabilities) via interactive charts.