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Use the following probabilities to answer the question. It may be helpful to sketch a Venn diagram.P(A)=0.45 , P(B)=0.45 and P(AandB)=0.10 .P(B∣A)= . Round to at least 3 decimal places.Question HelpQuestion 15:

Use the following probabilities to answer the question It may be helpful to sketch a Venn diagramPA045 PB045 and PAandB010 PBA Round to at least 3 decimal place class=

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Answer:

[tex]P(B\lvert A)=0.222[/tex]

Explanations:

Given the following probability values

[tex]\begin{gathered} P(A)=0.45 \\ P(B)=0.45 \\ P(A\text{ and B})=0.10 \end{gathered}[/tex]

Required

P(B | A)

According to the conditional probability formula

[tex]\begin{gathered} P(B|A)=\frac{P(A\text{ and B})}{P(A)} \\ P(B|A)=\frac{0.10}{0.45} \\ P(B|A)=0.222 \end{gathered}[/tex]

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