# 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?

Question
8 views

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?

check_circle

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.

Step 2

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

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in