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Bayes' Theorem

★★★★☆Undergraduate

📖Definition

A theorem for updating prior probability with new evidence to compute posterior probability.

P(A|B) = (P(B|A) · P(A))/(P(B))

Bayes' theorem

P(B) = ∑ᵢ P(B|Aᵢ) P(Aᵢ)

Law of total probability

예제 1★★★★☆

Test accuracy 99%, disease prevalence 1%. If positive, what's P(disease)?

Discovered by: Thomas Bayes (1763)

Published posthumously.

Diagnostic test interpretation

Naive Bayes, Bayesian inference

Email classification

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