# Addition theorem on probability

A survey of magazine subscribers showed that 55.8% rented a car during the last 12 months for business reasons, 44% rented a car for personal reasons, and 25% rented a car for both business and personal reasons.

a. What is the probability that a subscriber rented a car for personal or business reasons?

b. What is the probability that a subscriber rented did not rent a car for either personal or business reasons?

https://brainmass.com/statistics/probability/addition-theorem-on-probability-122733

#### Solution Preview

Let A be the event that the car is rented for business reasons

and B be the event that the car is ...

#### Solution Summary

Calculation of probability based on addition theorem.

$2.19