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Lottery W/ Law Of Third Applied

Topic closed. 18 replies. Last post 6 years ago by time*treat.

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eddessaknight's avatar - nw paladin.jpg
LAS VEGAS
United States
Member #47729
November 22, 2006
4499 Posts
Online
Posted: December 5, 2010, 5:03 pm - IP Logged

Ah, if you can find a text data source that doesn't require a whole bunch of work to get the numbers into usable form ... Cool

examples:

Texas' text format is good.

Florida's text format is a clusterfark

(Neither of those is a 6/49, though.)

 

Time*Treat, et al-

Do appreciate your upbeat but factual heads up on text data source-

Just fun the fun of it would be nice how it actually performs,

but no can do .... YET!!!

 

Good Luck All.

EddessaKnight Sun Smiley

    time*treat's avatar - radar

    United States
    Member #13130
    March 30, 2005
    2171 Posts
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    Posted: December 5, 2010, 6:40 pm - IP Logged

    Re-wording the question slightly to "How many drawings before 2/3rds of the numbers are drawn?"

    a few definitions

    block size -- number of (sequential) drawings to consider at once

    block count -- number of complete blocks in the draw history of size block size

    nums rmvd -- average quantity of numbers removed per block

    source data: Lotto Texas 6/54

    period: 04/26/2006 ~ 12/04/2010

    block sizeblock countnums rmvd
    14826.00
    248111.32
    348016.09
    447920.31
    547824.13
    647727.52
    747630.49
    847533.13
    947435.46
    1047337.51

    A block size of 1 always removes 6 numbers (by definition).

    A block size of 2 can remove 12 unique numbers, but often (2 out of 3 times) there will be a repeat, so the average is 11 and a piece.

    To remove a full 2/3rds of the numbers (36 of 54) takes on average only 10 drawings.

    So probably even fewer drawings to remove 2/3rds on a 6/49 game. Cool

    [They've changed the game matrix and format a few times. This is the most recent incarnation]

    In neo-conned Amerika, bank robs you.
    Alcohol, Tobacco, and Firearms should be the name of a convenience store, not a govnoment agency.

      eddessaknight's avatar - nw paladin.jpg
      LAS VEGAS
      United States
      Member #47729
      November 22, 2006
      4499 Posts
      Online
      Posted: December 6, 2010, 5:57 pm - IP Logged

      Re-wording the question slightly to "How many drawings before 2/3rds of the numbers are drawn?"

      a few definitions

      block size -- number of (sequential) drawings to consider at once

      block count -- number of complete blocks in the draw history of size block size

      nums rmvd -- average quantity of numbers removed per block

      source data: Lotto Texas 6/54

      period: 04/26/2006 ~ 12/04/2010

      block sizeblock countnums rmvd
      14826.00
      248111.32
      348016.09
      447920.31
      547824.13
      647727.52
      747630.49
      847533.13
      947435.46
      1047337.51

      A block size of 1 always removes 6 numbers (by definition).

      A block size of 2 can remove 12 unique numbers, but often (2 out of 3 times) there will be a repeat, so the average is 11 and a piece.

      To remove a full 2/3rds of the numbers (36 of 54) takes on average only 10 drawings.

      So probably even fewer drawings to remove 2/3rds on a 6/49 game. Cool

      [They've changed the game matrix and format a few times. This is the most recent incarnation]

      Hi time*treat

      Do appreciate your on going interest & contuing constructive contributions towards investigating this Law' opporftunity

      Definitions, block numbers, size and expected drawings are  positive tools & yard sticks to help get a realistic handle.

      Hope we can keep this developing forward >>>>>>

      Many thanks again for your support!!!

       

      Regards,

      EddessaKnight Sun Smiley

        time*treat's avatar - radar

        United States
        Member #13130
        March 30, 2005
        2171 Posts
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        Posted: December 7, 2010, 8:05 pm - IP Logged

        Out of curiosity, I adapted this for p5 and ran it against 3 years (2002~2004) of my state's 5/36 game ...

        Same definitions as before.

        block sizeblock countnums rmvd
        110965.00
        210959.30
        3109412.99
        4109316.14
        5109218.85
        6109121.20
        7109023.22
        8108924.95

        So, like before, giving each number one full chance to come out (on average) leaves 1/3rd of the numbers not drawn. Here you're having to choose between 5*7 and 5*8, you have to go with 5*8 to fully cover 36 numbers.

        In neo-conned Amerika, bank robs you.
        Alcohol, Tobacco, and Firearms should be the name of a convenience store, not a govnoment agency.