When the events within a set are both mutually exclusive and exhaustive,the sum of their probabilities is 1.0.

Question

Quizplus · Accepted Answer

This statement is true according to the definition of mutually exclusive and exhaustive events. If events are mutually exclusive, they have no outcomes in common, and if they are exhaustive, they cover all possible outcomes. Therefore, the probability of one event or the other occurring is 1, which means the sum of their probabilities is 1.0.

When the Events Within a Set Are Both Mutually Exclusive