Top: Pairs, pairings, pairing frequency: BEST Winning lotto lottery strategy system - wonder grid.

A lotto strategy — Lottery number pairing, pairs, frequency

By Ion Saliu, Frequently At-Large

Pairs, pairings, pairing frequency: BEST Winning lotto, lottery strategy, systems.

Posted by Ion Saliu on July 25, 2001.

• I have received some interesting feedback in response to "An offer you can't refuse!". I have rewarded the authors as promised. They received the pick-4 software. Unfortunately, LOTWON4 is not of much use to those who live in jurisdictions without pick 3/4 lottery games. A promise is a promise, so I added an option to the reward system. An author can now choose to receive a more potent UTIL-6.EXE - the collection of utilities for lotto-6 games.

The most useful capability of the new UTIL-6.EXE is related to what I called in a previous post the "wonder-grid". I also call it the "magical wheel" - for there is no better method of "wheeling" lotto numbers. I briefly presented the strategy in my post "Re: An experiment in mutual cooperation/A 'wonder' lotto strategy?" The idea is to play every lotto number plus its 'top five pairings'. If the game has 49 numbers, we play 49 combinations. That is, a 49-ticket wheel. The UTIL-6.EXE currently on my download site creates a file with the frequencies of all the pairs in a lotto game. The frequencies are sorted in descending order, i.e. from the most frequent pairing to the least frequent one. That version of the program, however, does not create a file that can be used directly as a wheel (e.g. 49 lines of 6 numbers each). It is not too hard to create such a file manually, using copy-and-paste.
The new UTIL-6.EXE creates the wheel automatically. Moreover, the program offers a lot more choices. It defaults now to an optimal range of analysis. The user has the option to select how many 'worst pairings' to save to file. Or, how many 'best pairings' to write to disk, and also at what point to start. The user can choose, for example, to write to file the 'top 7 pairings' beginning with the 3rd best pair, instead of the very best (first) one.

I did a test. I generated a data file for a lotto 49/6 game. I ran UTIL-6 and created a WHEEL49 file consisting of each lotto number followed by its 'best 5' pairings. The file looks like this:


 1   15   46   47   18   19  
 2   21   16   25   29   33  
 3   23   29   31   42   48  
 4   8   32   41   12   30  
 5   9   10   29   30   31  
 6   28   14   15   25   9  
 7   15   22   41   6   20  
 8   15   33   24   17   4  
 9   26   6   33   48   15  
 10   33   25   15   42   1  
………… 
Etc.
Lotto number 7 was best paired with #15 (6 times in 147 drawings), #22 (5 times), #41 (5 times), #6 (4 times), #20 (4 times). That amounts to 24 times out of 90 appearances of all pairings for number 7. Or, number 7 was paired with its 'top 5' in 27% of the cases! Meanwhile, number 7 was not paired at all (i.e. in 147 drawings) with 6 other lotto numbers! Here is the fragment of PAIRS6 (that shows the frequency of all pairs in a lotto game):

       Number:  7     Hits:   18   ( 12.2 %)
 With #: 15 22 41  6 20 10 12 30 32 33 36  2 14 23 24 25 26  4 17 18 19 37 38  9 43 48 49  1 16 34  5  3 13 39 40 27 28 45 46 47  8 31 44 35 29 21 42 11
 Hits:    6  5  5  4  4  3  3  3  3  3  3  3  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  0  0  0  0  0
 Pairs total: 90 

       Number:  8     Hits:   20   ( 13.6 %)
 With #: 15 33 24 17  4 19 22 12 26 13 39 45 46 49 21 11  3 25  1 27 30 31 32  6 38 16 41  9 10 20 34 36 37 28 29  5 42 43 44 14  7 47 48 23 35  2 40 18
 Hits:    7  6  5  5  4  3  3  3  3  3  3  3  3  3  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  0  0  0
 Pairs total: 100 
I ran then UTIL-6 and selected the option 'W – check for Winners'. To my positive astonishment, the 49-line WHEEL49 had 76 '4 of 6' winners (1 in 5) and 4 '5 of 6' winners (1 in 100) in 400 drawings analyzed! That's serious leverage if you consider that people are astonished by static lotto 49/6 wheels assuring '3 of 6' in 16o+ lines! I don't even bother to check for '3 of 6' winners. I am sure, there is a ton of them, and I mean hundreds! The winning report is at the end of this message. You can do it for yourself, with a real drawing file. I am sure that real drawing files are even more biased than random combination files. You'll see serious bias in the report. The lines starting with lotto number 7 had 6 hits. Meanwhile, there was no hit for lotto number 12 and its 'top 5 pairings'.

How is it possible for a 49-line wheel to yield far better results than a 160-line static wheel? The answer is in 'static'. A static wheel considers all number patterns to be probabilistically and statistically EQUAL all the time. That's the fundamental sin. FFG proves that the probability of appearance is determined by the AGE of the last appearance. For example, a lotto number is more likely to repeat (to be drawn again) after a skip equal to/less than its median. For a lotto 49/6 game: a lotto number will repeat after 6 misses in at least 50% of the cases. Look at the skip chart for number 6:


        Number: 6  (22 hits)
* Skips >  30  2  0  4  0  6  19  0  2  0  0  3  2  5  7  11  1  2  6  4  8  6 
Sorted Skips:  0  0  0  0  0  1  2  2  2  2  3  4  4  5  6  6  6  7  8  11  19  30 
* Median Skip:  3 
In 14 of its 24 hits, the lotto number 6 waited 5 or fewer drawings between hits (58%). (A skip of 0 is another way of saying that the number came out in consecutive drawings.)

There are many other patterns that show the same discrepancy. You may want to look at a simpler lottery game, such as pick-3. Some combinations come out 10 times in 1000 draws, while other combinations do not come out within the same range. The static sin considers that all combinations will come out with an equal frequency because they have the same probability 1/N. You will never ever see a random event (such a lottery game) showing equal frequencies among its elements. Now you understand why a 160-line WHEEL49 is far less efficient than the dynamic WHEEL49 created by UTIL-6. The 160-line static wheel combines number 7 with numbers like 44, 35, 29, 21, 42, 11. Those numbers came out ZERO times paired with number 7.

There are two opposite opinions when it comes to randomness. There are those who say randomness is synonymous with agnosticism. “It is random therefore we cannot know it.”
Then, there are those who say: “Everything has a rule, therefore there is no randomness.”
I believe the truth is: “Everything is random”. Everything in the Universe, the Universe itself is the result of RANDOM INTERACTION BETWEEN FORCES. Randomness represents fairness in its purest form. Randomness is logical. Randomness is the only solution to the logical absurdity I call “Deus ex machina” “the god in the machinery”. In old times, there were very surprising conclusions to stage plays. The “god in the machinery” explained the totally unexpected surprise. Unfortunately, even today, when knowledge has reached dizzyingly high peaks, humans still explain the Universe by “deus ex machina”. It is the gnoseological (related to knowledge) root of religion. The ontological (related to being) root of religion is in the FearSurvival essential principle. Fear of gods is Fear in its most frightening form. Eternal life provided by gods is the ultimate form of Survival.


“For [if] you do not look [at yourself] in the mirror of the lake, you shall see nothing but you shan't see Nothingness. [If] you look [at yourself] in the mirror of the clouds reflected in the lake, you shall see the simplicity of Infinite and the immensity of Nothingness.” (Tladouque, “Steps to Maya Pyramid”.)


Don't we have an attraction towards mysticism? I find it more evident these hot summer days. The sun is like the truth. It is uncomfortable sometimes. I am attracted to the mystical but cool shade of the forest. It is more comfortable. Socrates was sentenced to death, among other charges, because he was praying to the Sun. These summer days I heard of people in Chicago and elsewhere being killed by the sun.


The role of pairing, pairs in winning lottery software, lotto software.



                   ----- LOTTO-6 Winning Number Checking -----
                   Files: MOST6 -> DATA-6 Date: 07-24-2001

    Line    Numbers                              6         5         4   
    no.     Checked                           Winners   Winners   Winners
   ------------------------------------------------------------------------
      1     1 15 46 47 18 19       in line #                         100 
      1     1 15 46 47 18 19       in line #                         117 
      2     2 21 16 25 29 33       in line #                         15 
      2     2 21 16 25 29 33       in line #                         20 
      3     3 23 29 31 42 48       in line #                         222 
      4     4  8 32 41 12 30       in line #                         75 
      4     4  8 32 41 12 30       in line #                         147 
      5     5  9 10 29 30 31       in line #                         34 
      6     6 28 14 15 25  9       in line #                         68 
      6     6 28 14 15 25  9       in line #                         231 
      7     7 15 22 41  6 20       in line #               41 
      7     7 15 22 41  6 20       in line #                         69 
      7     7 15 22 41  6 20       in line #                         87 
      7     7 15 22 41  6 20       in line #                         106 
      7     7 15 22 41  6 20       in line #                         142 
      7     7 15 22 41  6 20       in line #                         279 
      8     8 15 33 24 17  4       in line #                         52 
      8     8 15 33 24 17  4       in line #                         309 
      9     9 26  6 33 48 15       in line #                         26 
      9     9 26  6 33 48 15       in line #                         107 
      9     9 26  6 33 48 15       in line #                         119 
     10    10 33 25 15 42  1       in line #                         85 
     11    11 49 38 41 47 48       in line #                         111 
     11    11 49 38 41 47 48       in line #                         191 
     13    13 32 46 28 20 26       in line #                         39 
     15    15  8  7  1 26 19       in line #                         339 
     16    16  2 17 13 21 23       in line #                         20 
     17    17 33 20  8 27 28       in line #                         2 
     18    18 33  2  6  9 26       in line #                         26 
     18    18 33  2  6  9 26       in line #                         35 
     18    18 33  2  6  9 26       in line #                         107 
     19    19 15 11 28 48  8       in line #                         52 
     19    19 15 11 28 48  8       in line #                         318 
     20    20 17 25 28  6  7       in line #                         87 
     20    20 17 25 28  6  7       in line #                         224 
     21    21  2 25 27 28 31       in line #                         20 
     21    21  2 25 27 28 31       in line #                         74 
     22    22  7 15 33 41 17       in line #                         41 
     22    22  7 15 33 41 17       in line #                         106 
     22    22  7 15 33 41 17       in line #                         142 
     22    22  7 15 33 41 17       in line #                         309 
     24    24  8 29 43 19  1       in line #                         23 
     25    25 21 28  6 20 37       in line #                         53 
     25    25 21 28  6 20 37       in line #                         74 
     26    26  9 15 13 33 40       in line #                         116 
     26    26  9 15 13 33 40       in line #                         363 
     27    27 17 21 25 28 39       in line #                         18 
     27    27 17 21 25 28 39       in line #                         20 
     27    27 17 21 25 28 39       in line #                         53 
     27    27 17 21 25 28 39       in line #                         125 
     28    28  6 25 20 19 13       in line #                         124 
     29    29 46 41 31 35 24       in line #                         90 
     29    29 46 41 31 35 24       in line #                         122 
     29    29 46 41 31 35 24       in line #                         138 
     33    33  8 17 10  9 18       in line #                         7 
     35    35 41 29 46 10 11       in line #                         90 
     35    35 41 29 46 10 11       in line #                         122 
     35    35 41 29 46 10 11       in line #                         138 
     36    36 25 20  7 16 17       in line #                         87 
     36    36 25 20  7 16 17       in line #                         93 
     37    37 14 25 48 42 38       in line #                         145 
     38    38 11 20 30 32 33       in line #               357 
     39    39 27 11 17 20  8       in line #               66 
     40    40 26 28 33 48 49       in line #                         116 
     41    41 35 29 31  7 46       in line #                         90 
     41    41 35 29 31  7 46       in line #                         122 
     41    41 35 29 31  7 46       in line #                         138 
     41    41 35 29 31  7 46       in line #                         373 
     42    42 10 25 30 37 38       in line #               11 
     42    42 10 25 30 37 38       in line #                         30 
     42    42 10 25 30 37 38       in line #                         92 
     43    43 47 24 26 28 15       in line #                         143 
     44    44  6 20 26 28 34       in line #                         39 
     45    45 33 15 20 25 26       in line #                         61 
     45    45 33 15 20 25 26       in line #                         372 
     46    46 29 13  1 41  2       in line #                         90 
     46    46 29 13  1 41  2       in line #                         122 
     47    47 43 11 15 20 34       in line #                         71 
     48    48  9 37 41 14 19       in line #                         380 

Pairs, pairings, pairing frequency: BEST Winning lotto lottery strategy system.

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Pairs, pairings, pairing frequency: BEST Winning lotto lottery system - wonder grid.

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