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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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The exclusiveness condition ensures not only the linearity of the winning probability of the played system, but also a maximal probability for the same number of played lines. Therefore, whatever other lines we may choose in the same number as in the system created under the exclusiveness condition, the winning probability of the new system will be less than or equal to the probability of the initial system (for any winning category or cumulatively). .............. missing part ................... Thus, at first glance, obtaining a maximal winning probability through choosing a system of a given size, under the condition of exclusiveness, seems to prevail as a strategic criterion. Still, a system with the same number of lines, but containing more common numbers, has in addition to the disadvantage of a lower winning probability, also a theoretical advantage: in case of winning, the prizes can be multiple (several winning lines, instead of one single line in the case of the system under the exclusiveness condition). In example 6), if the given system is winning as result of the occurrence in the draw of 2 numbers from the 4 fixed, then we will have 990 prizes in the third category, each simple line being a winning line. On the other hand, for a 990-line system under the condition of exclusiveness, only one single line can win. We shall talk in detail about the strategic aspect of choosing the playing system by these criteria in the chapter devoted to the strategy of the lotto game. 35

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