Bayes’ Theorem

symbols, variables and units

P(A): prior; P(B|A): likelihood; P(A|B): posterior; probability is dimensionless.

applicable conditions and boundaries

P(B)>0; each probability must come from a consistent sample space.

formula source code

The following is a copyable LaTeX expression.

P(A\mid B)=\frac{P(B\mid A)P(A)}{P(B)}

Reference and Extended Learning

is organized according to model definition and assumptions. Please check actual conditions and original literature before engineering, research and clinical use.