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Consider an insurer that offers 2 types of policy: home insurance and car insurance. 20% of all customers have a home insurance policy, and 92%

Consider an insurer that offers 2 types of policy: home insurance and car insurance. 20% of all customers have a home insurance policy, and 92% 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) has home insurance, given that he has car insurance,

(ii) does not have car insurance, given that he has home insurance

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