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A comment on Visualizing Bayes Theorem (2009).
P(A|B) * P(B) = P(A U B) = P(B|A) * P(A)
=>
P(A|B) = P(B|A) * P(A) / P(B)
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P(A|B) * P(B) = P(A U B) = P(B|A) * P(A)
=>
P(A|B) = P(B|A) * P(A) / P(B)