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High-speed intro to Bayes's rule - Arbital

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Bayes' rule is the core theorem of probability theory saying how to revise our beliefs when we make a new observation.

x Bayes' rule — LessWrong Main 46 Guide 95 Fast Intro 26 Definition 13 High-speed intro to Bayes's rule Edited by Eliezer Yudkowsky , et al. last updated 31st Aug 2025 Teaches: Proof of Bayes' rule , Bayes' rule: Vector form , Conditional probability , Bayes' rule: Odds form (This is a high-speed introduction to Bayes' rule for people who want to get straight to it and are good at math. If you'd like a gentler or more thorough introduction, try starting at the Bayes' Rule Guide page instead.) Percentages, frequencies, and waterfalls Suppose you're screening a set of patients for a disease, whi

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