What describes the intersection of events A and B?

The intersection of events A and B, denoted as A ∩ B, consists of all the sample points that are common to both events A and B. In other words, it describes the set of outcomes where both events occur simultaneously. This is fundamental in probability and set theory, as it allows for the analysis of scenarios where multiple conditions must be satisfied at the same time.

For instance, if event A represents students who passed a math exam and event B represents students who passed a science exam, the intersection A ∩ B would include all students who passed both exams. This is crucial when determining probabilities that involve multiple criteria, as it often factors into larger calculations using principles of probability theory.

Choosing the correct description is essential to understanding the relationships between different events in probability, which is a major focus in quantitative business analysis.