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/strategy for optimizing bets for drawing games (Lottery, Lotto-like, Powerball, Euromillions, etc.).
The principle is to combine several games/grids by judiciously selecting a subset of numbers which will form a cover of numbers and allow the bets to be minimized in order to guarantee a win in each game.
Players use a draw reducer system to maximize their chances of winning while minimizing expenses.
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 generator offers a convering design 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) ).
For a drawing of N numbers, the one and only way to guarantee that the player plays these N numbers in one of his grids is to play all the grids. There is no other way to guarantee the maximum gain: in fact, if a single grid is missing, then its draw remains possible and therefore the gain is no longer guaranteed.
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Cite as source (bibliography):
Covering Design for Lottery on dCode.fr [online website], retrieved on 2023-12-06,