Conditional Probability of Insurance Given Car Ownership

In a certain urban area, it is known that 60% of the residents own cars, and 30% of the car owners have insurance that covers theft. The total percentage of residents with insurance is 25%. If a resident of this area is chosen at random, what is the probability that they have insurance given that they own a car?

Let:

$P(C)$ = Probability of car ownership = 0.60

$P(I | C)$ = Probability of having insurance given car ownership

$P(I)$ = Probability of having insurance = 0.25

Use the formula for conditional probability:

$P(I | C) = \f\frac{P(I \cap C)}{P(C)}$