Dive into a comprehensive 2.5-hour video series on probability theory, covering fundamental concepts from introduction to advanced topics. Explore probability measures, discrete and continuous cases, and various distributions including binomial and hypergeometric. Learn about conditional probability, Bayes's Theorem, and the concept of independence for events and random variables. Delve into the properties of random variables, their distributions, and cumulative distribution functions. Conclude with an in-depth look at expectation and change-of-variables, providing a solid foundation in probability theory for mathematics enthusiasts and students alike.