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hundreds of thousands, even millions of other “non-particular” combinations met the same fate. Moreover, this subjective reasoning can be considered through an objective strategy: if you play this particular line and it wins, the cash amount will be larger than that for another played line, because the prize fund will be divided among fewer winners. Thus, the optimal decision would be to play this kind of particular lines. Obviously, this argument remains valid as long as the minority (those playing particular lines) does not become majority! All the strategies of choosing the numbers to play contain more or less subjective criteria, as we saw in the previous exposition. From a mathematical point of view, any number has the same probability of occurrence in a draw as any other, and any combination has the same probability of occurrence as any other one. No matter what the previous frequency has been, we have the same mathematical probability of occurrence in the next draw, because the probabilities are calculated under the hypothesis that the experiments are independent. Thus, from a probability point of view, it does not matter whether we play a number (or group of numbers, or a complete line) repeatedly or we change them with every game; the mathematical chances of winning with them in an isolated game or cumulatively (in several games) are the same for both situations. In mathematics, the strategies of choosing do not exist; they could be eliminated, leaving only the random choice of the number to play. Remaining devoted to this non-preferentiality principle, we cannot make recommendations as to any of the strategies of choosing the numbers presented in this chapter for illustrative purposes. On the other hand, neither we can declare as somehow incorrect the criteria these strategies are based on, nor recommend their elimination. Whether we choose the numbers at random or based on some personal strategies, the final result will be equally possible for both situations. In addition, choosing the numbers seems to be part of the enjoyment of the game, and this is a sufficient reason not to oppose it. But there also exist strategies of choosing based on objective criteria, as we shall see further. These strategies relate to choosing the playing systems. 67PDF Image | THE MATHEMATICS OF LOTTERY Odds, Combinations, Systems
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