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Probability thresholds For players who use exclusively the criterion of obtaining a maximal probability of winning for a given investment amount, the exclusiveness condition imposed on the played systems ensures attaining this maximum and allows immediate calculation of the number of simple lines required for completing a system that offers a certain fixed probability of winning. These calculations are possible due to the linearity of the winning probability. Theoretically, this number of simple lines may increase to reach the winning probability 1, but at a practical level, it is limited by the following financial parameters: - the investment amount at player’s disposal (a); - the price of a simple line (c); - the amount of the prize allocated to the winning category the calculation refers to (b); The limitation intervenes due to the given investment amount and to keep the game profitable as well – the prize must exceed the amount of the investment. If s is the number of lines of the system, the two previous conditions are expressed through the relations: sc ≤ a and sc < b, whichareequivalentto s≤a/c and sPDF Image | THE MATHEMATICS OF LOTTERY Odds, Combinations, Systems
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