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Given P(A)=0.8P(A)=0.8, P(B)=0.51P(B)=0.51 and P(A\cap B)=0.468P(A∩B)=0.468, find the value of P(B|A)P(B∣A), rounding to the nearest thousandth, if necessary.

Given P(A)=0.8P(A)=0.8, P(B)=0.51P(B)=0.51 and P(A\cap B)=0.468P(A∩B)=0.468, find-example-1

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\begin{gathered} P(A)=0.8 \\ P(B)=0.51 \\ P(AnB)=0.468 \\ P(B|A^{})=\text{?} \end{gathered}
P(B\textA)=(P(BnA))/(P(A))
P(B|A)=(0.468)/(0.8)=0.585

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