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An insurance agent sells life, health and auto insurance. During the year she met with 85 potential clients. Of these 42 purchased life insurance, 40 purchased health insurance, 24 purchased auto insurance, 14 purchased both life and health, 9 both life and auto, 11 both health and auto, and 2 purchased all 3. A client is selected at random. Calculate the following a) P(client purchased no polices) b) P(client purchased health insurance only) c) P(client purchased a single insurance policy) d) P(client purchased life or health, but not auto insurance)
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