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Colin F
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Quote Colin F Replybullet Topic: ANALYSIS OF 15 LOTTO NUMBER SETS - WORST TO BEST
    Posted: February 15 2009 at 7:25pm

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
    .
  • 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.
    .
  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?
    .
  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.
    .
  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.
    .
  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.
    .
  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.
Lotto Draws have no relationship to one another; the integers serve just as identifiers. Any prediction calculation on one history of draws for a same type game is just as irrelevant as another.
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Colin F
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Quote Colin F Replybullet Posted: February 15 2009 at 7:25pm
 
Playing 28 Random Selections or Quick Pick Lines
in a Pick 6, Pool 49 Lotto game -  
an Analysis of Win Groupings for 13,983,816 possible draw results

by Colin Fairbrother
 
Unlike the 14 other sets of numbers analysed in this series Random Selections vary a bit in their structure. To be seen to be fair in choosing a representative example I have included a table below showing the first 28 draws for the year in 4 USA 6/49 State games. As you can see the variation is small and even the lowest percentage covering of any prize at 40% comfortably beats the best of the Covers or Wheels with Guarantees by 7% and the worst by 35%. I have chosen Wisconsin 2007 as being the closest to the average to do the analysis on. 
 
For the self styled "experts" who have disparaged Random Selections the egg is on your face. For all the courageous people who through no fault of their own have limited speech ability, some of whom I worked with many years ago and found to be highly intelligent, this is a win I dedicate to you. 
 
This is ranked Set 14 (ie the second best) in an analysis comparison of 15 differently constructed sets of numbers to play which includes other subset repeats, Covers or Wheels with Guarantees, Random Selections and the set which is proven to be the best, my Unique 3's ™ using all the integers for the game and maximizing the coverage of the potential winning numbers. You can generate these best numbers online and save them for later checking for wins at LottoToWin
 
  
 
 
The figures given here are from my own Lotto set analyzer. There are 37 Prize Groupings for this set; the table below reduces this to 14 by giving the main prize grouping and a range for the lesser prizes. eg Of the 368,211 combinations with a single Four win 228,246 have no other prizes.
 
 
Repeats Analysis Random Selections sample:
For the Ones we see that only 46 of the 49 are used and the idea of "balancing" or having them appear the same number of times is proven absurd. For the Threes which do pay unlike the ones 10 are repeated twice and 1 Four is repeated. So, to avoid the repetitions which reduce your chances for a prize use my Best Unique 3's ™.
 
 
 
 
Regards
Colin Fairbrother
Lotto Draws have no relationship to one another; the integers serve just as identifiers. Any prediction calculation on one history of draws for a same type game is just as irrelevant as another.
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Colin F
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Quote Colin F Replybullet Posted: August 27 2008 at 10:37pm
Playing 28 Lines with Unique Threes
in a Pick 6, Pool 49 Lotto game without Maximizing Coverage -  
an Analysis of Win Groupings for 13,983,816 possible draw results

by Colin Fairbrother
 
The reason I include this playset is to show that simply constructing your number set from a lexicograpic or numerical order enumeration and making sure you don't duplicate a CombThree and you do include all the Pool integers you end up with a set that makes a mockery of all the Covers with a reduced Pool at around 28 lines. The construction is simple - just enumerate lexicographically the combinations of six integers and you will find you have all 49 integers in 29 lines. Delete the 28th line and that's it - you have a set with 34% coverage. The old saying, "Couldn't see the wood for the trees" comes to mind.
 
This is ranked Set 13 in an analysis comparison of 15 differently constructed sets of numbers to play which includes other subset repeats, Covers or Wheels with Guarantees, Random Selections and the set which is proven to be the best, my Unique 3's ™ using all the integers for the game and maximizing the coverage of the potential winning numbers. You can generate these best numbers online and save them for later checking for wins at LottoToWin
 
 

ID LexID Comb Comment
1 1 01 02 03 04 05 06
2 54956 01 02 07 08 09 10
3 96115 01 02 11 12 13 14
4 126006 01 02 15 16 17 18
5 146901 01 02 19 20 21 22
6 160816 01 02 23 24 25 26
7 169511 01 02 27 28 29 30
8 174490 01 02 31 32 33 34
9 177001 01 02 35 36 37 38
10 178036 01 02 39 40 41 42
11 178331 01 02 43 44 45 46
12 220593 01 03 07 11 15 19 Already used {1,3,4} {1,3,5} {1,3,6} {8,9,10} {11,12,13)
13 231953 01 03 08 12 16 20 Already used {8,9,10} {11,12,13} {12,13,14}
14 242496 01 03 09 13 17 21
15 252262 01 03 10 14 18 22
16 324893 01 03 23 27 31 35
17 327421 01 03 24 28 32 36
18 329652 01 03 25 29 33 37
19 331610 01 03 26 30 34 38
20 341318 01 03 39 43 47 48
21 370322 01 04 07 12 17 22
22 380346 01 04 08 11 18 21
23 392020 01 04 09 14 15 20
24 400596 01 04 10 13 16 19
25 474134 01 04 23 28 33 38
26 476238 01 04 24 27 34 37
27 478784 01 04 25 30 31 36
28 480400 01 04 26 29 32 35 Not used
29 490408 01 04 40 44 47 49


There are 28 Prize Groupings for this set; the table below reduces this to 13 by giving the main prize grouping and a range for the lesser prizes. eg Of the 362,172 combinations with a single Four win 154,999 have no other prizes.
 
 
 
 
 
 
 
Regards
Colin
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Quote Colin F Replybullet Posted: August 27 2008 at 8:33am
Playing a Wheel with Guarantee, 3 if 6 in 28
or 31 Line Cover C(28,6,3,6)=31 
in a Pick 6, Pool 49 Lotto Game -  
an Analysis of Win Groupings for 13,983,816 Draw Possibilities 
by Colin Fairbrother
 
Using 28 integers from a Pool of 49 a noticeable improvement is shown over other Covers but with only 34% Covered after allowing an extra 3 combinations this is still well short of the 46% Coverage for my best set. Looking at the repeat table below we see that 46 Threes are repeated twice and 20 trice and 7 Fours are repeated twice wasting respectively 86 and 7 chances.
 
This is Set 12 in an analysis comparing 15 differenty constructed sets of 28 (or near to that) numbers to play which includes other subset repeats, Covers or Wheels with Guarantees, Random Selections and the set which is proven to be the best, my Unique 3's ™ using all the integers for the game and maximizing the coverage of the potential winning numbers. You can generate these best numbers online and save them for later checking for wins at LottoToWin
 
 
 
 
 
 
 
 
Regards
Colin
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Quote Colin F Replybullet Posted: August 27 2008 at 1:45am
Playing a Wheel with Guarantee, 3 if 4 in 19
or 30 Line Cover C(19,6,3,4)=30 
in a Pick 6, Pool 49 Lotto Game 
an Analysis of Win Groupings for 13,983,816 Possibilities 
by Colin Fairbrother
 
Would you knowingly play a set of numbers in a Pick 6, Pool 49 Lotto game where for no good reason 3 of the combinations of 4 integers are repeated twice and repectively 57 of the combinations of 3 integers are repeated twice and 2 repeated 3 times. Well, that is the case with this Lotto Wheel or Cover which guarantees a Three win if 4 of the integers are correct in a pool of 19 you have chosen out of the possible 49. The decoy with these nonsense Covers, that have been touted since the 1980's by various con-artists and still are, is the guarantee, without consideration of how your chances of winning any prize or prizes are reduced!
 
This is Set 11 in an analysis comparing 15 differenty constructed sets of 28 (or near to that) numbers to play which includes other subset repeats, Covers or Wheels with Guarantees, Random Selections and the set which is proven to be the best, my Unique 3's ™ using all the integers for the game and maximizing the coverage of the potential winning numbers. You can generate these best numbers online and save them for later checking for wins at LottoToWin
 
 
 
 
  
 
 
Regards
Colin
Lotto Draws have no relationship to one another; the integers serve just as identifiers. Any prediction calculation on one history of draws for a same type game is just as irrelevant as another.
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Quote Colin F Replybullet Posted: August 27 2008 at 1:43am
Analysis of Potential Win Groupings for Pick 6, Pool 49 Lotto
Playing 30 Line Cover C(24,6,3,5)=30
or Wheel with Guarantee, 3 if 5 in 24
by Colin Fairbrother
 
There are no prizes for 71% of the possible draws compared to only 54% for my best set? Looking at the repeats table we see 14 of the Fours are squandered by repeating twice and the Threes are abominable with 80 repeated twice and 40 repeated 3 times.
 
This is ranked Set 10 in an analysis comparison of 15 differently constructed sets of numbers to play which includes other subset repeats, Covers or Wheels with Guarantees, Random Selections and the set which is proven to be the best, my Unique 3's ™ using all the integers for the game and maximizing the coverage of the potential winning numbers. You can generate these best numbers online and save them for later checking for wins at LottoToWin
 
 
 
 
 
 
 
 
Lotto Draws have no relationship to one another; the integers serve just as identifiers. Any prediction calculation on one history of draws for a same type game is just as irrelevant as another.
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Quote Colin F Replybullet Posted: August 27 2008 at 1:41am
Analysis of Potential Win Groupings for Pick 6, Pool 49 Lotto
Playing 31 Line Cover C(15,6,3,3)=31
or Wheel with Guarantee, 3 if 3 in 15
by Colin Fairbrother
 
With 74% of the possible winning combinations giving zilch compared to only 54% for my best set why would anyone play this? Looking at the repeats table we see 14 of the Fours are squandered by repetition and the Threes are abominable with 98 repeated twice, 3 trice, 19 quadrupled and 1 repeated 5 times.
 
This is ranked Set 9 in an analysis comparison of 15 differently constructed sets of numbers to play which includes other subset repeats, Covers or Wheels with Guarantees, Random Selections and the set which is proven to be the best, my Unique 3's ™ using all the integers for the game and maximizing the coverage of the potential winning numbers. You can generate these best numbers online and save them for later checking for wins at LottoToWin
 
 
 
 
 
 
 
 
Regards
Colin
Lotto Draws have no relationship to one another; the integers serve just as identifiers. Any prediction calculation on one history of draws for a same type game is just as irrelevant as another.
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Quote Colin F Replybullet Posted: August 27 2008 at 1:39am
 
Playing 28 Repeat Threes in a Pick 6, Pool 49 Lotto game -
Analysis of Potential Win Groupings

by Colin Fairbrother
 
Despite repeating a subset Three 28 times and giving away 3 combinations this set still does better than the Cover or Wheel with Guarantee which gives a Four win if you have 5 integers correct in a Pool of 14. No one in their right mind would play this set; how can the "experts" promote this pitiful Cover as being of benefit in playing Lotto?
 
This is ranked Set 8 in an analysis comparison of 15 differently constructed sets of numbers to play which includes other subset repeats, Covers or Wheels with Guarantees, Random Selections and the set which is proven to be the best, my Unique 3's ™ using all the integers for the game and maximizing the coverage of the potential winning numbers. You can generate these best numbers online and save them for later checking for wins at LottoToWin
 
 
There are 53 Prize Groupings for this set; the table below reduces this to 15 by giving the main prize grouping and giving a range for the lesser prizes. eg Of the 204,588 prize groups with a single Four win 9,078 have no other prizes.
 
 
 
 
 
 
 
Regards
Colin
Lotto Draws have no relationship to one another; the integers serve just as identifiers. Any prediction calculation on one history of draws for a same type game is just as irrelevant as another.
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Quote Colin F Replybullet Posted: August 27 2008 at 1:29am
Analysis of Potential Win Groupings for Pick 6, Pool 49 Lotto
Playing 30 Line Cover C(14,6,4,5)=30
or Wheel with Guarantee, 4 if 5 in 14
by Colin Fairbrother
 
This Cover or Wheel with Guarantee is listed as Number 35 by Professor Iliya Bluscov and Number 507 by Gail Howard, albeit slightly better in their way of ranking these things. You see the coverist way of looking at it is that it doesn't matter how distorted you make the set with regard to yield as long as the number of lines, blocks or combinations is less, then it is better. The fact that from all the possible 13,983,816 winning combinations only 21% will give a prize compared to 46% with my best Unique 3's ™ using the full pool and with coverage maximized is simply not acknowledged. Truly one can describe Covers or Wheels like this to be the best of the worst and their advocates for use in Lotto to be none other than con-artists.
 
This is ranked Set 7 in an analysis comparison of 15 differenty constructed sets of numbers to play which includes other subset repeats, Covers or Wheels with Guarantees, Random Selections and the set which is proven to be the best, my Unique 3's ™ using all the integers for the game and maximizing the coverage of the potential winning numbers. You can generate these best numbers online and save them for later checking for wins at LottoToWin.
 
 
 
 
 
 
Lotto Draws have no relationship to one another; the integers serve just as identifiers. Any prediction calculation on one history of draws for a same type game is just as irrelevant as another.
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Colin F
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Quote Colin F Replybullet Posted: August 27 2008 at 1:27am
Playing 28 Repeat Fours in a Pick 6, Pool 49 Lotto game -
Analysis of Potential Win Groupings
by Colin Fairbrother
 
Despite repeating a subset Four 28 times and giving away 4 combinations this set still does better than the Cover or Wheel with Guarantee which gives a Four if you have 4 integers correct in a Pool of 11. The lunatics that still think this Cover is OK are the same genrie that think they can detect a bias in their favour by discerning the difference in blemishes on the balls!
 
This is ranked Set 6 in an analysis comparison of 15 differenty constructed sets of numbers to play which includes other subset repeats, Covers or Wheels with Guarantees, Random Selections and the set which is proven to be the best, my Unique 3's ™ using all the integers for the game and maximizing the coverage of the potential winning numbers. You can generate these best numbers online and save them for later checking for wins at LottoToWin
 
 
 
 
 
 
 
 
Regards
Colin Fairbrother
Lotto Draws have no relationship to one another; the integers serve just as identifiers. Any prediction calculation on one history of draws for a same type game is just as irrelevant as another.
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