What are the odds against winning the Lottery, making money in a casino, or backing the right horse. Every day, people make judgements on these matters and face other decisions that rest on their understanding of probability: buying insurance, following medical advice, carrying an umbrella. Yet many of us are ignorant of how probability works. This text presents an exploration of probability, revealing traps and fallacies in the field. It describes and analyzes a variety of situations where chance plays a role, including football pools, the Lottery, TV games, sport, cards, roulette, coins, and dice. The book guides the reader round common pitfalls, demonstrates how to make better informed decisions, and shows where the odds can be unexpectedly in your favour.