In professional sports analytics, probability plays a crucial role in making strategic decisions. One area where the Binomial Theorem becomes particularly useful is in analyzing possible outcomes of multiple events, such as a series of free throws in basketball or a sequence of at-bats in baseball.

Imagine you’re working as a data analyst for a professional basketball team. The team wants to understand the probability of different possible outcomes when their star player, who has an 80% free throw success rate, takes multiple free throw attempts. This analysis will help inform coaching decisions in close games.