Conditional Probability and Independence Practice Test

A company finds $P(A)=0.50$, $P(B)=0.40$, and $P(A\cap B)=0.30$, where event $A$ is “an employee completed training” and event $B$ is “an employee received a promotion.” Based on the information given, are $A$ and $B$ independent? Use conditional probability by comparing $P(A\mid B)$ and $P(A)$.

In a study of 300 households, 120 have a pet (event $B$). Of those, 45 also have a garden (event $A\cap B$), where event $A$ is “the household has a garden.” Based on the information given, what is $P(A\mid B)$? Give your answer as a percent.