Final answer:
An unmarried person cannot have a spouse; therefore, the events of being an unmarried person and having an employed spouse cannot occur simultaneously, making them mutually exclusive.
Step-by-step explanation:
To determine whether the events of being an unmarried person and a person with an employed spouse are mutually exclusive, we need to consider the definition of mutually exclusive events. Mutually exclusive events are those that cannot occur at the same time. In other words, the occurrence of one event precludes the occurrence of the other, and thus the probability of both events occurring together is zero.
In this case, an unmarried person cannot have an employed spouse because having a spouse implies being married. Therefore, it is impossible for the two events to happen simultaneously. As a result, these two events are mutually exclusive because the occurrence of one event (being unmarried) makes the occurrence of the other event (having an employed spouse) impossible.