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Question

Mathematics Question on Probability

Compute P(AB), ifP(B)=0.5 and P(AB)=0.32Compute\ P(A|B), \ if P(B) = 0.5 \ and \ P(A∩B) = 0.32

Answer

Given:Given:
P(B)=0.5P(B)=0.5
P(AB)=0.32P(A∩B)=0.32

P(AB)=P(AB)P(B)P(A|B)=\frac {P(A∩B)}{P(B)}

P(AB)=0.320.50P(A|B) =\frac {0.32}{0.50}

P(AB)=3250P(A|B) =\frac {32}{50}

P(AB)=0.64P(A|B) =0.64