Theorem of total probability

The Theorem of Total Probability helps us find the chance of an event happening by considering all possible ways it could occur through different scenarios. Imagine multiple paths lead to the same outcome, each with its own likelihood. This theorem sums up the probability of that outcome across all these paths, weighting each path’s likelihood by how likely that path is to happen. It's a way to break down complex probabilities into manageable parts, providing a complete picture of the overall chance of an event by accounting for all relevant scenarios.