Bayes Rule

\begin{displaymath} \Pr(A\vert B) = \Pr(A)\Pr(B\vert A)/\Pr(B)\end{displaymath}

because

\begin{displaymath} \Pr(B)\Pr(A\vert B) = \Pr(AB) = \Pr(A)\Pr(B\vert A)\end{displaymath}

The most basic form of ``learning'':

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