Question

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:

Answer 1

`P(B\lvert A)=0.222`

Explanations:

Given the following probability values

`\begin{gathered} P(A)=0.45 \\ P(B)=0.45 \\ P(A\text{ and B})=0.10 \end{gathered}`

Required

P(B | A)

According to the conditional probability formula

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