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Covering Design for Lottery

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.

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Covering Design for Lottery -

Tag(s) : Combinatorics

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Covering Design for Lottery

Covering Design Generator






Cover Checker


Answers to Questions (FAQ)

What is a convering design? (Definition)

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.

Why use a reduced covering design?

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.

How to generate a reduced system/covering design?

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 ).

How to guarantee a draw with all the correct numbers?

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.

Source code

dCode retains ownership of the "Covering Design for Lottery" source code. Except explicit open source licence (indicated Creative Commons / free), the "Covering Design for Lottery" algorithm, the applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, breaker, translator), or the "Covering Design for Lottery" functions (calculate, convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (Python, Java, PHP, C#, Javascript, Matlab, etc.) and all data download, script, or API access for "Covering Design for Lottery" are not public, same for offline use on PC, mobile, tablet, iPhone or Android app!
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Cite as source (bibliography):
Covering Design for Lottery on dCode.fr [online website], retrieved on 2024-06-15, https://www.dcode.fr/covering-design-lottery

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Questions / Comments

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