quartz/content/vault/Bayes' Rule.md

#math #stats P(A)P(B|A) = P(B)P(A|B) If you know P(A|B) and want P(B|A):

definition of Conditional Expectations:

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

since

P(B|A)=\frac{P(B\cap A)}{P(A)}

because of joint probability.

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