THE MATHEMATICS OF LOTTERY Odds, Combinations, Systems

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THE MATHEMATICS OF LOTTERY Odds, Combinations, Systems ( the-mathematics-lottery-odds-combinations-systems )

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strengthens their intuitive belief that in the long-run, the game cannot bring them regular positive results. Rather, a single win can vanquish the previous cumulative losses, and moreover, can make them rich overnight, when, theoretically, they will stop playing. The permanent hunt for this “hit” provides the primary motivation for perseverance in the lottery game. By its simplicity, the lottery is not predisposed to objective strategies. The only game strategy is that of choosing a lottery matrix, the financial management of the player, and choosing the numbers and the combinations of numbers to play, taking into account various parameters, among which there is also risk. Moreover, any strategy must include the personal criteria of the player (time terms, amounts at disposal, the accepted level of risk, etc.), which automatically turns it into a subjective one. Regardless of the chosen options and playing strategies, the players will be always interested in the amount of that risk, and this means probability. This is not a lottery strategy book, because an optimum strategy does not exist. Only the choice of the lottery matrices and the combinations to play exist. What does exist, however, is a collection of numerical probabilities and mathematical parameters specific to each lottery matrix, and those are generated by the mathematical model of these games of chance. The mathematical approach of this book is mainly oriented toward generalities; thus, all formulas were obtained by using a group of variables covering all possible lottery matrices. A large number of numerical results returned by these formulas have been listed in tables and cover the most popular lottery matrices in the world. The examples refer most frequently to the 6/49 lottery, which is the most widespread matrix. The mathematical and probability models of lottery provide information that players should know before they launch into a long- run play. This information, along with its mechanism and the possibilities it offers, is part of the entire ensemble of the lottery game. On the basis of these data, decisions can be made, decisions that might also change the customary play. The structure and content of the major chapters follow. 8

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