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Bayes' Theorem
4. Probability / Bayes' Theorem / Problem 7
Problem 7

Given P(E)=0.3,P(E)=0.7,P(FE)=0.6P(E)=0.3,P(E^{\(\prime\)})=0.7,P(F|E)=0.6, and P(FE)=0.2P\(\left\)(F|E^{\(\prime\)}\(\right\))=0.2, use Bayes’ Theorem to find P(EF) P(E|F) .