Conditional Probability of Car Ownership Given Garage

In a certain city, 60% of the residents own a car. Among car owners, 80% have a garage. If a resident is selected at random, what is the probability that they own a car given that they have a garage?

To solve this problem, you may apply the formula for conditional probability:

$$P(A|B) = \frac{P(A \cap B)}{P(B)}$$

Where:

• $A$ = Event that a resident owns a car.
• $B$ = Event that a resident has a garage.