The Probability Lifesaver

"This is a superb book by a gifted writer and mathematician. Miller's amiable, intuitive writing style weaves stories about probability into the narrative in a unique fashion."--Larry Leemis, College of William & Mary"The Probability Lifesaver creates a wonderful mathematical experience. It combines important theories with fun problems, giving a new and creative perspective on probability. This book helped me understand the big questions behind the mathematics of probability: why the complex theories I was learning are true, where they come from, and what are their applications. This approach is a welcome complement to other heavy theoretical books, and was detailed and expansive enough to serve as the main textbook for our class."--Alexandre Gueganic, Williams College '19"This fun book gives readers the feeling that they are having a live conversation with the author. A wonderful resource for students and teachers alike, The Probability Lifesaver contains clear and detailed explanations, problems with solutions on every topic, and extremely helpful background material."--Iddo Ben-Ari, University of Connecticut"In The Probability Lifesaver, Miller does more than simply present the theoretical framework of probability. He takes complex concepts and describes them in understandable language, provides realistic applications that highlight the far-extending reaches of probability, and engages the problem-solving intuitions that lie at the heart of mathematics. Lastly, and most importantly, I am reminded throughout this textbook of why I chose to study mathematics: because it's fun!"--Michael Stone, Williams College '16"The Probability Lifesaver motivates introductory probability theory with concrete applications in an approachable and engaging manner. From computing the probability of various poker hands to defining sigma-algebras, it strikes a balance between applied computation and mathematical theory that makes it easy to follow while still being mathematically satisfying."--David Burt, Williams College '17"A balanced mix of theoretical and practical problem-solving approaches in probability--suited for personal study as well as textbook reading in and out of the classroom. After college, while working, I took a probability class remotely and with this book, I was able to follow easily despite being without a TA or easy access to the professor. From research examples to interview questions, it has saved my life more than once."--Dan Zhao, Williams College ' 14"The Probability Lifesaver helped me build a foundation of probability theory and an appreciation for its nuances through engaging examples and easy-to-follow explanations. This well-written and extensive book will serve as your guide to probability and reward you for the time you give it."--Jaclyn Porfilio, Williams '15"I see a tremendous value in this fun, engaging, and informal book. It has a conversational tone, which invites students to engage the material and concepts. It is as if Miller is there, lecturing on the topics, helping students to think things through for themselves."--John Imbrie, University of Virginia"The Probability Lifesaver contains a lot of explanations and examples and provides step-by-step instructions to how definitions and ideas are formulated. I appreciated that it tries to provide multiple solutions to each problem. Interesting, informative, approachable, and comprehensive, this book was easy to read and would make a good supplement for a first probability course at the undergraduate level."--Jingchen Hu, Vassar College"Filled with many interesting and contemporary examples, The Probability Lifesaver would have undoubtedly helped me while I was taking statistics. Miller offers careful, detailed explanations in simple terms that are easy to understand."--James Coyle, former student at Rutgers University