For decades, casino gaming has been steadily increasing in popularity worldwide. Blackjack is among the most popular of the casino table games, one where astute choices of playing strategy can create an advantage for the player. RISK AND REWARD analyzes the game in depth, pinpointing not just its optimal strategies but also its financial performance, in terms of both expected cash flow and associated risk. The book begins by describing the strategies and their performance in a clear, straightforward style. The presentation is self-contained, non-mathematical, and accessible to readers at all levels of playing skill, from the novice to the blackjack expert. Careful attention is also given to simplified, but still nearly optimal strategies that are easier to use in a casino. Unlike other books in the literature the author then derives each aspect of the strategy mathematically, to justify its claim to optimality. The derivations mostly use algebra and calculus, although some require more advanced analysis detailed in supporting appendices. For easy comprehension, formulae are translated into tables and graphs through extensive computation. This book will appeal to everyone interested in blackjack: those with mathematical training intrigued by its application to this popular game as well as all players seeking to improve their performance.

People have been gambling, in one form or another, for as long as history itself. Why? Money, entertainment, escape and a desire to win are all traditional explanations. Arguably, however, these are secondary considerations to a higher order purpose: a craving for control. Gambling offers a means of gaining authority over the unknown, granting us a sense of control over uncertainty. Almost always that sense is illusory - gambling, including betting and investing, is essentially random - yet for many it is nonetheless profoundly rewarding. This book attempts to explore the reasons why. Along the way, it examines: The science of probability and uncertainty Why gambling is often condemned The difference between expectation and utility The irrationality of human beings Evolutionary perspectives on gambling Luck and skill Market efficiency and the wisdom of crowds Why winners take all Cheating Why the process matters more than the outcome