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Bayes' Theorem
4. Probability / Bayes' Theorem / Problem 2
Problem 2

Given P(E)=0.47 P(E) = 0.47 , P(E′)=0.53P\(\left\)(E^{\(\prime\)}\(\right\))=0.53, P(F∣E)=0.29 P(F|E) = 0.29 , and P(F∣E′)=0.11P\(\left\)(F|E^{\(\prime\)}\(\right\))=0.11, use Bayes’ Theorem to find P(E∣F) P(E|F) .