Unlocking the Power of Probability: Changing the Game for Real-World Phenomena
The article explains what a probability measure is and discusses conditional probabilities, multiplication rule, total probability theorem, and Bayes' theorem. It also introduces the concept of a conditional-probability measure. Probability measures are labels for measures on a space that satisfy certain conditions. They are used to understand real-world random experiments. The chapter also talks about independence of events and sets of events, as well as conditional independence given an event.