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Distances between the winning numbers in Lottery. Combinatorics Study and Proof.


Last Edited: April 2, 2009, 7:23 pm

Recently a paper submitted to arxiv.org Combinatorics category came to my attention. (also under Annals of Pure and Applied Logic): "Distances between the winning numbers in Lottery" written by Konstantinos Drakakis and published in  16 March 2005

It provides a rigorous proof about Lottery (using Pick 6 game as a model): the winning 6 numbers (out of 49) in the game of the Lottery contain two consecutive numbers with a surprisingly high probability (almost 50%).

Almost 50%  still gives house an advantage, but is sufficiently large enough that it can not be ignored in generating prediction mumbers as in almost one game out of two the winning set of numbers contains two consecutive ones.

One simple strategy is to keep track of consecutive numbers in n-draws and calculate probability and predict accordingly according to the 50% rule.

Very recent draw in New Jersey Pick 5 game on April 1, 2009 with winning numbers: 11-12-13-25-33, prompted me to investigate consecutive numbers and look for some formal paper on the subject, the almost 50/50 chance of it occuring came as a big surprise to me...


http://arxiv.org/PS_cache/math/pdf/0507/0507469v1.pdf           Distances between the winning numbers in Lottery by Konstantinos Drakakis

http://www.lotterypost.com/thread/189933/6                             Lotterypost thread of a draw in New Jersey Pick 5 game on April 1, 2009

Entry #3


Comment by pumpi76 - April 3, 2009, 2:16 pm
thanks edge...
And if you knew the consecutive or the ending digits, if you knew it, there is not going to be too many combinations with consecutives....There is only a few combinations with consecutives...
edgeComment by edge - April 3, 2009, 8:55 pm
my pleasure! fyi:) another consecutive pair just happened in NJ Cash 5 (below), to clarify paper speaks of just 1-pair of consecutive numbers probability being alomsot 50%, so 11-12-13-25-33 would be considered a 2-pair consecutive numbers 11-12 and 12-13, calculation for which I am not certain as of yet.

New Jersey Cash 5 winning numbers Today (Friday , April 03, 2009 ) were: 09-19-31-37-38 jackpot rolled to $290,000.

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