Explore the fascinating world of chaos theory and unpredictability in this captivating lecture by Professor Jens Marklof. Delve into the mathematical principles behind chaotic systems, from weather forecasts to political developments. Examine the butterfly effect and its implications for climate modeling and extreme weather prediction. Investigate the concept of determinism versus chance through experiments with coin tosses and dice. Discover how kneading dough serves as a simple model for generating randomness, and learn about exponential sensitivity in chaotic systems. Explore applications in statistical mechanics, including the Boltzmann gas and Lorentz gas models. Gain insights into the mathematics of ergodic theory and dynamical systems. Conclude with practical applications and recommendations for further study in this thought-provoking exploration of predicting the unpredictable.