Elementary Probability

This book provides a complete one-semester introduction to probability, combining intuition, rigorous analysis, and numerical methods. A key feature of the book is its numerous exercises, which encourage learning by doing. About half of these exercises are accompanied by detailed solutions, making the book suitable for self-study. The topics covered include the standard material for such courses: combinatorics, discrete and continuous models, and the convergence of random variables and distributions. An additional chapter is devoted to Markov chains and their applications. The target audience consists of second-year students in engineering, information sciences, economics, and mathematics. The mathematical level is kept accessible, while fostering connections with related topics that students may have encountered in other courses.