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This lecture covers fundamental concepts in probability and statistics, including probability spaces, random experiments, event spaces, and probability distributions. The instructor discusses the calculation of probabilities for various events using examples such as coin tossing, dice rolling, and birthday probabilities. The lecture emphasizes the importance of understanding the language of mathematics to interpret the universe, as illustrated by Galileo Galilei's quote. Additionally, the lecture explores the application of Boole's inequality and the properties of probability functions.