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The Rules of Lottery This chapter gives readers the definition of the lottery matrices and the entire ensemble of their rules. Their variations, structure, technical progress of the game, winning categories, and prizes are presented. Supporting Mathematics Here, the processes of lottery drawings and choosing the combinations to play are converted into probability experiments that generate aleatory events. We will see the same space, the field of events, and the probability space in which the numerical probabilities of lottery are worked out. We also present as theoretical support the probability properties and formulas used; these appear as statements without mathematical proofs. We will confront the whole mathematical model of the lottery matrices and see what the parameters are of such constructs. Within this model, we pay special attention to the combinatorics applied to these various matrices. Anyone with a minimal mathematical background can follow this chapter because it requires only basic arithmetic, algebraic and combinatorial skills, and the basics of set theory and probability theory. Alternatively , readers who are interested only in direct results can skip this chapter and go to the tables of results which follow. Number Combinations In this chapter, readers can become familiar with the entire combinatorics applied in lottery. It is a chapter with applications regarding counting the combinations specific to a draw and to the act of choosing the lines to play, as well as unfolding the combinations from a given set of numbers. Probabilities of Winning with Simple Lines Here lottery players will face the real mathematical odds involved in playing simple lines. We present not only the probabilities specific to each winning category, but also the cumulated probabilities for several winning categories, as well as intermediary probabilities corresponding to the various moments in the draw. 9PDF Image | THE MATHEMATICS OF LOTTERY Odds, Combinations, Systems
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