Final answer:
Events are disjoint if they cannot occur at the same time, such as holding two different full-time day jobs. For example, a person cannot be a full-time bank teller and a full-time store cashier simultaneously.
Step-by-step explanation:
When determining whether two events are disjoint, we assess if they can occur simultaneously. In your specific case of securing a full-time day job as a bank teller and a full-time day job as a store cashier, these events are disjoint because a person cannot hold two full-time day jobs at once. This conclusion is true because 'full-time' typically implies a commitment that spans most of the day and would not leave sufficient time for another full-time job. Disjoint, also known as mutually exclusive events, cannot happen at the same time. For instance, a high school graduating class of 300 students where 200 attend college, 40 work full-time, and 80 take a gap year, these occurrences cannot be disjoint because the total exceeds the number of students, suggesting overlap.
Contrarily, independent events are those where the occurrence of one event has no impact on the probability of the other occurring. Mutual exclusivity and independence are different concepts; events can be one, both, or neither. Understanding these concepts is crucial when working with probabilities, as they dictate the rules applied when calculating the likelihood of compound events.