A survey of magazine subscribers showed that 43% rented a car during the past 12 months for business reasons, 50% rented a car during the past 12 months for personal reasons, and 25% rented a car during the past 12 months for both business and personal reasons. What is the probability that a subscriber did not rent a car during the past 12 months for either business or personal reasons?

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Asked Apr 1, 2019
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A survey of magazine subscribers showed that 43% rented a car during the past 12 months for business reasons, 50% rented a car during the past 12 months for personal reasons, and 25% rented a car during the past 12 months for both business and personal reasons. What is the probability that a subscriber did not rent a car during the past 12 months for either business or personal reasons?

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Expert Answer

Step 1

Let A be the event that a person rented a car during the past 12 months for business reasons

Let B be the event that a person rented a car during the past 12 months for personal reasons.

Hence, AC be the event that a person didn’t rent a car during the past 12 months for business reasons

BC be the event that a person didn’t take a car during the past 12 months for personal reasons.

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Step 2

The probability that a subscriber did not rent a car during the past 12 months for either bu...

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