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Analysis by Grouping Win Results per Possible Winning Number | |
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Colin F
Lotto Systems Tester Creator & Analyst ![]() To dream the impossible dream ... Joined: September 30 2004 Location: Australia Online Status: Offline Posts: 678 |
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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 |
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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
Lotto Systems Tester Creator & Analyst ![]() To dream the impossible dream ... Joined: September 30 2004 Location: Australia Online Status: Offline Posts: 678 |
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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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Colin F
Lotto Systems Tester Creator & Analyst ![]() To dream the impossible dream ... Joined: September 30 2004 Location: Australia Online Status: Offline Posts: 678 |
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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.
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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Colin F
Lotto Systems Tester Creator & Analyst ![]() To dream the impossible dream ... Joined: September 30 2004 Location: Australia Online Status: Offline Posts: 678 |
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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
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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
Lotto Systems Tester Creator & Analyst ![]() To dream the impossible dream ... Joined: September 30 2004 Location: Australia Online Status: Offline Posts: 678 |
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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 -
"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: -
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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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