Advanced Probability: Independent Random Variables

This lecture covers the concept of independent random variables, defined as X and Y being independent if the probability of X taking a certain value and Y taking another value is the product of their individual probabilities. The instructor explains this definition using examples with dice rolls and emphasizes the importance of understanding independence between events. The lecture also delves into the calculation of probabilities for dependent random variables, showcasing how to determine the probability of specific outcomes based on the given conditions.