Given the probabilities, which event is most likely to occur on any school day?

The event that Diane is not late for school is the most likely to occur on any school day because it typically represents a more favorable outcome or a broader range of possibilities. In most scenarios, the probability of students arriving on time is generally higher than the probability of them being late.

When considering probabilities, being on time is often a default or expected scenario, while being late is usually an exceptional case that occurs due to various reasons such as traffic, oversleeping, or other unforeseen circumstances.

Thus, if we assume the underlying data supports the idea that students are more often on time than late, then the event of Diane not being late becomes the most probable choice. This perspective reinforces the idea that not being late is the baseline expectation for a normal school day.