Ononot — If P(A)=0.5, P(B|A)=0.4, P(B|A^c)=0.2, what is P(A|B)?

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Conditional Probabilitymedium

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If $P(A)=0.5, P(B|A)=0.4, P(B|A^c)=0.2$ , what is $P(A|B)$ ?