Tool to generate covering design / reduced lotto wheel systems for the random picking games of chance such as Lottery, Lotto or Euromillions, the principle being to guarantee a minimum winning.
Covering Design for Lottery - dCode
Tag(s) : Combinatorics
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Covering Designs are a technique for optimizing bets for drawing games (Lottery, Lotto-like, Powerball, Euromillions, etc.). The principle is to combine several games / grids that minimize bets to ensure a win each game.
Example: A Euromillions player wishing to guarantee a win (2 correct numbers) should therefore play all the combinations of 2 numbers, so 2 among 50 = 1225 grids. dCode offers a system of 130 grids which certify the same winning of 2 correct minimum numbers guaranteed for 100% of the Euromillions draws (draw of 5 out of 50 numbers). Anyone playing these 130 grids is guaranteed to win at least the prize awarded for 2 numbers.
The generation of covering designs uses combinatorial calculation tools such as the combinations generation. No fast algorithm is known to date. Calculations are very greedy and still require several days today to find solutions.
dCode can generate some systems quickly thanks to several series of pre-computed cover designs that are optimal but also other non-optimal designs (but whose computer calculations have not yet found better solutions here (link) ).