Consider an insurer that offers 2 types of policy: home insurance and car insurance.

70% of all customers have a home insurance policy, and 80% of all customers have

a car insurance policy. Every customer has at least one of the two types of policies.

Calculate the probability that a randomly selected customer

(i) does not have a car insurance policy, (1)

(ii) has car insurance and home insurance, (1)

(iii) has home insurance, given that he has car insurance, (2)

(iv) does not have car insurance, given that he has home insurance. (2)