Exact model

A natural 20 critical success on a d20 attack roll

Probability:
5%
Odds:
1 to 19
dBan
−12.8 dBan

One of the fair d20’s 20 equally likely results is a natural 20, which the 2024 D&D Basic Rules treat as a critical hit on an attack roll.

Calculation

p = 1 natural 20 / 20 results = 1/20

Assumptions

The d20 is fair and rolled once for an attack. Modifiers, rerolls, advantage, and disadvantage are excluded. Critical outcomes for other checks or other role-playing systems can follow different rules.

Sources

  1. D&D Basic Rules (2024): rolling 20 or 1