What is the result when two mutually exclusive events are considered?

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Prepare for the UCF QMB3200 Quantitative Business Tools II Exam. Study with comprehensive resources and practice multiple choice questions. Be exam-ready!

When discussing mutually exclusive events, it is essential to understand the fundamental property that defines them. Mutually exclusive events are those that cannot occur at the same time; if one event happens, the other cannot.

Thus, when considering the intersection of two mutually exclusive events, represented as P(A ∩ B), the result is always zero because there is no overlap between the two events. In simpler terms, if event A occurs, event B cannot occur, leading to the conclusion that the probability of both A and B occurring simultaneously is nonexistent.

This understanding clarifies why the option stating that P(A ∩ B) = 0 is correct. It accurately reflects the nature of mutually exclusive events and adheres to the rules of probability related to their interactions.