Explore Newcomb's paradox, a fascinating mathematical and philosophical problem, in this 34-minute lecture. Delve into concepts of free will, determinism, choice, probability, and rationality as you examine this intriguing paradox first studied by William Newcomb. Learn about the "obvious solution" that often divides opinions and discover how the problem evolves upon deeper contemplation. Gain insights into probability theory and expected value as the lecturer presents a mathematical approach to resolving the paradox. Follow along as the discussion progresses through a preliminary problem, the main paradox, arguments for different choices, associated probabilities, and a potential decision-making strategy.