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PSF: Probability, Statistics and Financial Mathematics Location: D301 Session Chair: Michael Kupper Session Chair: Mathias Trabs | |
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Tackling the 6/49 Lottery and Debunking Common Myths with Probabilistic Methods and Combinatorial Designs Private Researcher, Germany At the end, the house always wins! This simple truth holds for all public games of chance. Nevertheless, since lotteries have existed, people have tried everything to give luck a helping hand. This presentation compares objective scientific approaches to tackle the 6/49 lottery: probabilistic methods and combinatorial designs. The mathematical models developed herein can be modified and applied to other lotteries. The newly constructed (49, 6, 5) covering design is introduced, which meets the Schönheim bound. It currently ranks among the largest and most efficient combinatorial designs made available for free download in the La Jolla Covering Repository. For lottery designs and for covering designs, a benchmark based on probabilistic methods is presented. It is demonstrated that common attempts to outwit the odds correspond to limitations of numbers to subsets, which disproportionately reduce the chances of winning. | |
