Question

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.

Answer 1

`\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`