Hello Class, In statistics, mutually exclusive means events that cannot occur at the same time. For example, in tossing a coin, one can only get a head and a tail at a time. The head and the tail cannot occur at the same time. Furthermore, the failing of an exam for a student in a particular course is also mutually exclusive. The student cannot pass and fail the exam in the particular course at the same time. In the case of a discrete probability distribution, the values of x are always mutually exclusive. One of the characteristics of discrete probability distribution, according to Lind et al. (2021, is that the outcomes (which are the values of x) are mutually exclusive. For example, in tossing a coin two times, we may get HH, HT, TH, or T. These outcomes are the values of x and occur distinctively, as head (H) and tail (T) cannot occur at the same time in a single toss. References Lind, D. A., Marchal, W. G., & Wathen, S. A. (2021). Statistical techniques in business and economics with Connect (18th ed.). McGraw Hill Education. ISBN-13: 9781260788785