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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Enhancing the Winning Probability In the previous chapter we evaluated the general winning probabilities corresponding to one single simple line played in any lottery matrix; now we deal with the probabilities involved in the play with several simple lines. We are especially interested in the probabilities specific to the winning categories, and we will study the increase of these probabilities with the number of the played lines. For our purposes here, we will use the term system or playing system to indicate an independent group of simple lines played on one or more tickets, by same player. The systems can be of several types, depending on the method of choosing the simple lines and their structure: - aleatory system – in which the played lines are chosen at random and not by a predefined set of rules; - compound line – in which the constituent simple lines form an unfolded combination of several given numbers; - system of compound (complex) lines – a group of several compound lines; the simple lines represent the result of unfolding all the constituent combinations; - multicriterial system – a group of simple lines chosen by a predefined set of personal criteria; - reduced system – a system obtained from unfolding a compound line, from which some combinations were removed on the basis of some predefined criteria. We shall talk in detail about these types of systems in the sections devoted to each type. The play with any system has as its goal increasing the winning probability through the increase of the coverage of the combinations possible to be drawn, as well as the achievement of multiple prizes (in several winning categories simultaneously, in certain circumstances. Because the lotto game assumes only two gaming events that can influence the final result – namely choosing the played lines or system, and the drawing of the winning numbers – the only way a player can increase his or her winning odds is by increasing the number of played simple lines. 29

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