math specifically probabilty

math specifically probabilty

You and your friend just rented a car for an 8,000 mile cross-country road trip. Your rental car may be one of three different types: new (N), nearly one year old (O), and old (L). If the car you receive is brand new, it will break down with probability 0.08. If the car is nearly one year old, it will break down with probability 0.09. And if the car is old, it will break down with probability 0.5. The probability that the rental company gives you a new car, a nearly one year old car, and an old car is 0.5, 0.25, and 0.25, respectively. What is the probability that your car breaks down on your road trip? Use a probability tree to support your answe