Question

Assume that you are about to buy a car. There is a probability of 0.4 that you will purchase a new vehicle, and a probability of 0.5 that you will purchase a used vehicle. There is no probability that you will go home with more than one vehicle. Which of the following is true? Purchasing a new car and purchasing a used car are disjoint events. If you buy a new car, then you will not buy a used car. All of the answer options are correct. The probability that you will not buy a used vehicle is 0.5.

Answer 1

Purchasing a new car and purchasing a used car are disjoint events.

Explanation:

Disjoint Events are events which do not have common outcomes.

In the given question there are two possibilities of purchasing the vehicle one is used vehicle and the other is new vehicle. These possibilities are disjoint as they do not have the same outcomes and probabilities. One has a probability of 0.5 and the other has probability of 0.4.

The probability of not buying a used vehicle is 0.6