Question

An insurance company studies a sample of 150 policyholders. There are three types of policies: auto,...

An insurance company studies a sample of 150 policyholders. There are three types of policies: auto, home and medical. The following results are obtained about the policies held by the policyholders:

 30 have only home insurance

 10 have only medical insurance

 98 have auto insurance but not all three types of insurance

 27 have medical insurance but not all three types of insurance

 13 have auto and medical insurance

Given that a policyholder has medical insurance, calculate the probability that he has home insurance.

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