John Walsh, one of the great masters of the subject, has written a superb book on probability. It covers at a leisurely pace all the important topics that students need to know, and provides excellent examples. I regret his book was not available when I taught such a course myself, a few years ago. —Ioannis Karatzas, Columbia University In this wonderful book, John Walsh presents a panoramic view of Probability Theory, starting from basic facts on mean, median and mode, continuing with an excellent account of Markov chains and martingales, and culminating with Brownian motion. Throughout, the author's personal style is apparent; he manages to combine rigor with an emphasis on the key ideas so the reader never loses sight of the forest by being surrounded by too many trees. As noted in the preface, “To teach a course with pleasure, one should learn at the same time.” Indeed, almost all instructors will learn something new from the book (e.g. the potential-theoretic proof of Skorokhod embedding) and at the same time, it is attractive and approachable for students. —Yuval Peres, Microsoft With many examples in each section that enhance the presentation, this book is a welcome addition to the collection of books that serve the needs of advanced undergraduate as well as first year graduate students. The pace is leisurely which makes it more attractive as a text. —Srinivasa Varadhan, Courant Institute, New York This book covers in a leisurely manner all the standard material that one would want in a full year probability course with a slant towards applications in financial analysis at the graduate or senior undergraduate honors level. It contains a fair amount of measure theory and real analysis built in but it introduces sigma-fields, measure theory, and expectation in an especially elementary and intuitive way. A large variety of examples and exercises in each chapter enrich the presentation in the text.

This book presents not only the mathematical concept of probability, but also its philosophical aspects, the relativity of probability and its applications and even the psychology of probability. All explanations are made in a comprehensible manner and are supported with suggestive examples from nature and daily life, and even with challenging math paradoxes. (Mathematics)

From the popular Book of Odds website, this stylish and accessible reference book offers a fascinating peek at the probabilities that govern every aspect of human life Did you know that your odds of dying from drowning are higher than the odds of meeting your mate on a blind date? That the odds a child has seen Internet porn are the same as the odds a person is right-handed? That nearly one in three adults believes in UFOs and nearly one in six has reported seeing one? Drawing from a rigorously researched trove of more than 400,000 statements of probability, based on the most accurate and current data available, The Book of Odds is a graphic reference source for stats on the everyday, the odd, and the outrageous—from sex and marriage, health and disease, beliefs and fears, to wealth, addiction, entertainment, and civic life. What emerges from this colorful and captivating volume is a rich portrait of who we are and how we live today.

"What are the odds against winning the Lotto, The Weakest Link, or Who Wants to be a Millionaire? The answer lies in the science of probability, yet many of us are unaware of how this science works. Every day, people make judgements on a wide variety of situations where chance plays a role, including buying insurance, betting on horse-racing, following medical advice - even carrying an umbrella. In Taking Chances, John Haigh guides the reader round common pitfalls, demonstrates how to make better-informed decisions, and shows where the odds can be unexpectedly in your favour. This new edition has been fully updated, and includes information on top television shows, plus a new chapter on Probability for Lawyers."--BOOK JACKET.

An intuitive, yet precise introduction to probability theory, stochastic processes, statistical inference, and probabilistic models used in science, engineering, economics, and related fields. This is the currently used textbook for an introductory probability course at the Massachusetts Institute of Technology, attended by a large number of undergraduate and graduate students, and for a leading online class on the subject. The book covers the fundamentals of probability theory (probabilistic models, discrete and continuous random variables, multiple random variables, and limit theorems), which are typically part of a first course on the subject. It also contains a number of more advanced topics, including transforms, sums of random variables, a fairly detailed introduction to Bernoulli, Poisson, and Markov processes, Bayesian inference, and an introduction to classical statistics. The book strikes a balance between simplicity in exposition and sophistication in analytical reasoning. Some of the more mathematically rigorous analysis is explained intuitively in the main text, and then developed in detail (at the level of advanced calculus) in the numerous solved theoretical problems.

Have you ever noticed that you talk about luck every day of your life? Luck is your silent companion, sometimes bringing awesome parking spaces, a chance meeting with a new love interest, or a small windfall. Most of the time you probably don’t even pay attention to luck. Chances are, you only really think about luck when you buy a lottery ticket or participate in a contest. Luck is so much more than that. If you take steps to live longer by eating right and exercising, why wouldn’t you also take similar steps to improve your good fortune? Barrie Dolnick and Anthony Davidson asked themselves this very question, and set out to study luck and decipher how it works. In this insightful and engaging book, they share the secrets they’ve uncovered so you can use luck more effectively in your day-to-day life. Where does luck originate? Does one need to be “born lucky” in order to be lucky? Answering these and many other pressing questions, Dolnick and Davidson investigate both ancient and scientific approaches to luck. From early man to famous rationalists, luck has been prayed for, played with, and courted. You’ll learn how ancient practices such as the I Ching, astrology, tarot, and numerology have been used to understand luck, and how great mathematicians studied luck–some guided by their own interest in gambling. Every- one wants to be lucky. Once you know the fundamentals of luck, the authors take you through your own Personal Luck Profile so that you can use this wisdom and try your luck. People do a lot of weird things to improve their luck–and now you can make smart choices and informed decisions about how to play with yours.