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Q47Section C (Section C)47 of 60

Conditional probability under conditional independence

Let E,FE,F and GG be three events such that P(E∩F∩G)=0.1P(E\cap F\cap G)=0.1, P(G∣F)=0.3P(G|F)=0.3 and P(E∣F∩G)=P(E∣F)P(E|F\cap G)=P(E|F). Then P(G∣E∩F)P(G|E\cap F) equals ____________

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