Determining Independence of Events: Comparing Conditional and Simple Probabilities

The video tutorial explains how to determine if two events are independent by comparing the conditional probability of one event given another to the simple probability of the first event. It covers the conditional probability formula, the concept of independence, and provides a practical example using a two-way table. The tutorial concludes by emphasizing that if the probabilities are not equal, the events are associated and not independent.

In Jen's class, what were the simple and conditional probabilities of being female and a soccer player?

What conclusion can be drawn about the independence of being female and being a soccer player in Jen's class?