Colin Fairbrother

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whether other than through sheer luck the odds can be bettered.

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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
 
 

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


This article first published on the web 25/8/2008 and has been viewed 188166 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.