Colin Fairbrother

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Best possible Set of Numbers to play in
Pick 6, Pool 49 Lotto analyzed by grouping of
Win results for all possible 13,983,816 winning numbers
by Colin Fairbrother
 
Playing just 28 numbers in a 6/49 Lotto game this Lotto Design gives you nearly a 46% chance of getting a prize each draw! The other designs shown with excessive repeat subsets don't even come close, even when a few extra plays are allowed for the Covers or Wheels with Guarantees. Those that are within 10% proximity are definitely not Covers or Wheels with Guarantees and effectively this proves wrong that Covers or Wheels with Guarantees are superior for this number of combinations as advocated by the likes of Professor Iliya Bluskov and Gail Howard. Moreover, due to the distortionary nature of maximized Covers, with excessive repetitions, as related to Lotto where the minimum pool is 25, my Unique 3's ™ using the full Pool and maximizing Coverage against the main numbers are always superior by a long margin. 
 
 
 
 
 
 
 
How does the 54% no win per draw stack up against probability formula? One must be wary here because 13,983,816 possibilities is not the same as that many random draws. Considering 28 plays over 13,983,816 draws is unrealistic and it is unnecessary as over just say, 2,000 draws your chances of getting any prize per draw will be around 52% which also means your chances of getting nothing per draw are 48%. There is a correlation with the difference in the figures being explained through nearly 9% of the possible draws giving multiple wins which when averaged out increases the Win percentage. It's a good measurement of getting something or nothing or the grouping most likely for a draw to occur in and realistically nothing, a Three or a Four is what you are more likely to get.
 
I believe I have made an absolutely solid case for using -
  • Unique 3's™ (and therefore no duplicate Fours, Fives or Sixes)
    .
  • With all integers used in the Lotto game
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  • And Coverage of all possible winning sixes maximized

"You can lead a horse to water but you can't make it drink!"  

Interestingly, those who have looked through the test results forum would have recognized a familiarity with a post I made back in December, 2004 on a 50% Cover for a 6/49 Lotto game using all integers twice and with the best coverage. At that stage I had not worked out the fatal flaw with optimized Covers or Wheels with Guarantees ie sacrificing your chances of multiple wins by stupidly guaranteeing one pitiful win. Looky here!   
 
Regards
Colin
 
ps 1  Having established the principles for the best Lotto Play Sets my objective in starting this web site has been achieved. I hoped with the forum format that there would be some constructive input from others but that has not been the case so I will in due course construct a different portal with a greater emphasis on presenting the information, rather than looking for input from others. I have done a complete makeover of LottoToWin to enable you to play and store these number sets so you can check for wins later and this will be uploaded to commence with the USA PowerBall configuration change in January 2009 from 55 to 59 main numbers and from 42 to 39 for the PowerBall. Practically all Lotto games around the world will be covered and the annual subscription will be a nominal $5.00.
 
ps 2 Here is a summary of each Number Set with 1 representing the worst: -
  1. One Six combination is repeated 28 times; 98.13825% of Sixes uncovered.
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  2. Full System Eight or all the combinations of 6 integers from a Pool of 8; 95.30397% of Sixes Uncovered. How the Lottery Operators can promote the second worst style of play as increasing your chances of winning defies comprehension.
    .
  3. Cover or Wheel with Guarantee of a Five Win if 5 of the winning integers from a pool of 9 are obtained; despite allowing an extra 2 combinations to bring it up to 30 still 93.32568% of Sixes are uncovered. The abjectness and absurdity of this Cover is further revealed when it is realized that just 12 of the combinations maximized for coverage give the same uncovered percentage! Far from increasing the chances of getting a Five with a repeat of 54 of the Fives it decreases your chances not to mention the 624 Fours and 916 Threes repeated. The section of the mathematical community that espoused this Cover as being beneficial in Lotto and still continue to do so, should bow their heads in shame. The ignominy for the mathematical community at large is that exposure of this fraud was not done by one of their own but by yours truly, a competent database programmer guy that went to the trouble of checking things out.
    .
  4. One Five combination is repeated 28 times; 89.44119% of Sixes uncovered but still better than 5if5in9 Cover.
    .
  5. Cover or Wheel with Guarantee of a Four win if 4 of the winning integers from a pool of 11 are obtained; despite allowing an extra 4 combinations to bring it up to 32 still 88.25823% of Sixes are uncovered. 
  6. One Four combination is repeated 28 times; 83.99215% of Sixes uncovered but still better than a System play or both the 5if5in9 or 4if4in11 Covers.
    .
  7. C(14,6,4,5)=30
    .
  8. One Three combination is repeated 28 times; 73.48612% of Sixes uncovered but still better than a System play or the 5if5in9, 4if4in11 or 3if3in15 Covers.
     
    .
  9. Cover or Wheel with Guarantee of a Three win if 3 of the winning integers from a pool of 15 are obtained; despite allowing an extra 3 combinations to bring it up to 31 still 74.28749% of Sixes are uncovered. One Three combination is repeated 28 times; 73.48612% of Sixes uncovered but still better than a System play or the 5if5in9, 4if4in11 or 3if3in15 Covers.
    .
  10. C(24,6,3,5)=30
  11. Cover or Wheel with Guarantee of a Three win if 4 of the winning integers from a pool of 19 are obtained; despite allowing an extra 2 combinations to bring it up to 30 still 69.60506% of Sixes are uncovered. For 28 of the combinations maximized for coverage of the Sixes the uncovered percentage rises to a whopping 91.15284%. Lordy, Lordy how can brain matter be so under utilized?
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  12. Cover or Wheel with Guarantee of a Three win if 6 of the winning integers from a pool of 28 are obtained; despite allowing an extra 3 combinations to bring it up to 31 still 65.485% of Sixes are uncovered.
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  13. Partial Cover to 28 combinations of 6 integers generated to give maximum coverage for 3if3in49 but only using pool of 48 to give 65.93677% of Sixes uncovered.
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  14. Good old Ramdom Selections - 2nd best and putting to shame all the nonsense that has been promoted since the 1980's with 60.33555% uncovered for the 28 combinations.
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  15. The best - 28 combinations with Unique Threes using the full pool of 49 and with coverage maximized to give only 54.25824% of Sixes uncovered.


This article first published on the web 25/8/2008 and has been viewed 192959 times.
The author may be contacted at fairbros@bigpond.com. To generate sets of Lotto numbers to play for most Lotto games around the world go to LottoToWin ® where for a US$5.00 annual subscription you can store the numbers as well, to check later for wins. The numbers produced have no duplicate subset combinations of two integers (if applicable) or three integers, use all the integers for the particular Lotto game and maximize the coverage of the potential winning main number. The articles on this site have been selected from the many at the forum LottoPoster
© Colin Fairbrother 2004 to 2012 All rights reserved.