Probability Theory: Events and Tribes

This lecture introduces the concept of events and tribes in probability theory. It covers the definition of an event space, the properties of events in a tribe, and the importance of defining valid tribes. The lecture also discusses examples of different tribes based on observable outcomes, emphasizing the role of tribes in modeling random experiments. Furthermore, it explores the significance of choosing appropriate tribes based on the sample space and the events of interest. The lecture concludes with practical applications of tribes in defining probabilities and establishing relationships between different events.