Why is the number of cars sold by a dealership modeled as a discrete random variable?

The number of cars sold by a dealership is modeled as a discrete random variable because it represents a count of distinct, individual items.

In probability theory, a random variable is classified as discrete when it can only take on a finite or countably infinite number of values. Since a dealership can only sell a whole number of cars (e.g., 0, 1, 2, 3, ...), the possible outcomes are distinct and countable rather than existing on a continuous spectrum. Each of these specific outcomes is associated with a probability, and the sum of all these probabilities must equal 1. This contrasts with continuous random variables, which are used for measurements that can take any value within an interval, such as time or weight.1