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⚂ Dice Probability Calculator

Calculate roll probabilities, view full distributions, simulate rolls, and compare D&D 5e advantage vs disadvantage.

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How Dice Probability Works

For a single die, every face has equal probability (1/faces). For multiple dice, the distribution follows a convolution โ€” the bell-curve shape gets more pronounced as you add more dice. This is why 2d6 averages 7 and extreme results (2 or 12) are far less likely than middle values.

Advantage in D&D 5e means rolling two d20s and keeping the higher result. The probability of getting at least X with advantage is: 1 โˆ’ P(both rolls below X)ยฒ = 1 โˆ’ ((Xโˆ’1)/20)ยฒ.