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Supporting Mathematics The application of mathematics, especially probability theory in gambling, is a simple process because a finite sample space can be attached to any game of chance. In some games, probability calculations for some events can become harder because of their structure, but applying the theory is quite normal and straightforward everywhere in this field. The finite sample space and the randomness of the events (whether rolling dices, drawing cards, or spinning a wheel) allow us to build a simple probability model to work within to find the numerical probabilities of the events involved in that game. This model assumes a finite probability space in which the field of events is the set of parts of the sample space (and, implicitly, is finite), and the probability-function is given by the classical definition of probability. In this probability space, any event, no matter how complex, can be broken down into elementary events. Therefore, finding the probability of a compound event means applying some properties of probability and doing some algebraic calculations. In lottery, anyone with a minimal mathematical background can perform its probability applications and calculations. All the main calculations involve only arithmetic and basic algebraic operations, but at some point, some problems, especially those involving unions of events and probability distributions, require math skill. For those interested in improving their probability calculus skills and figuring out correct probability results for any game of chance, we recommend the beginner’s guide, Understanding and Calculating the Odds, which also contains a number of gambling applications. Let us see now how probability theory and combinatorics can be applied in lottery and how the numerical probability results from this book were obtained. 15PDF Image | THE MATHEMATICS OF LOTTERY Odds, Combinations, Systems
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