Honing one's skills at games and puzzles such as 20 Questions, Mastermind, Ghost, The Tower of Hanoi, variations of Tic Tac Toe and Cram; how mathematical ideas and concepts are essential to increasing one's chances of winning.

Turning to games that rely heavily on chance and betting; how to evaluate the fairness of games using the concept of expected value; using the Kelly criterion or the Gambler's Ruin formula to help decide the best wagering strategies.

Professor Benjamin shows how to get the best of blackjack instead of vice versa; going through scenarios of increasing difficulty to strengthen one's skills; demonstrating the secrets of simple card counting; looking at optimal strategies.

Looking at zero-sum games such as penny matching, rock-paper-scissors and simplified poker; how to use math to bluff, play unpredictably and win these kinds of games through strategies including the equilibrium strategy.

Investigating the mathematics of Texas Hold 'Em; enhancing mathematical poker-playing skills; finding answers to various questions; the probability of a hand improving; how to calculate "pot odds" to help determine wagering decisions.

Mathematically trained players have an edge in backgammon; the rules of the game; the basic strategies for winning; the best ways to play opening rolls; how math constantly enters the picture, such as in figuring out the safest way to move checkers.