Foundations of Probability

Do you want to understand the likelihood of events, from simple coin tosses to complex real-world scenarios? This course provides a clear, conceptual introduction to probability, empowering you to critically analyze information and build a strong foundation for further study in statistics or data science. You will gain the ability to reason about uncertainty and make more informed choices in various contexts. What you'll learn: * Understand core probability definitions, terminology, and axioms. * Calculate probabilities for various types of events, including unions and intersections. * Apply concepts of conditional probability and independence to solve problems. * Explore common discrete and continuous probability distributions and their characteristics. * Grasp the foundational role of probability in statistical inference and data analysis. * Differentiate between frequentist and basic Bayesian interpretations of probability. The course begins with essential terminology and basic concepts, gradually progressing to methods for calculating probabilities and understanding different types of distributions. It then delves into the practical applications of probabilistic thinking in real-world contexts. This course is designed for absolute beginners with no prior knowledge of probability or advanced mathematics. Begin your journey to master the language of chance and uncertainty.