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Colin F
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Quote Colin F Replybullet Topic: PROFESSOR ILIYA BLUSKOV OUTRAGEOUS LOTTO CLAIMS
    Posted: April 07 2014 at 11:23pm

PROFESSOR ILIYA BLUSKOV AND HIS
OUTRAGEOUS LOTTO CLAIMS

by Colin Fairbrother

In 1997 Dr Iliya Bluskov wrote his thesis titled "New Designs and Coverings", which can be downloaded or viewed at -
http://www.collectionscanada.gc.ca/obj/s4/f2/dsk3/ftp04/nq24295.pdf

On page 8 and 9 of the thesis Bluskov gives an example of playing an 80 line Lotto Wheel or Cover in a 6/49 Lotto game using a restricted set of numbers (Pool) of 14 rather than the available 49.

The Cover Bluskov uses guarantees in a hypothetical and non-existent 6/14 Lotto game that unequivocally a match-4 will be obtained, not only when all the 3003 combinations of 6 from 14 are considered or the 2002 combinations of 5 from 14 but also when the 1001 combinations of 4 from 14 are considered.

What does this Cover, which can be described using the syntax C(14,6,4,4,1)=80 guarantee in a 6/49 Lotto game? The answer is a
BIG FAT NOTHING! For the minimum guarantee in a 6/49 Lotto game a C(49,6,3,6)=163 is needed ie 163 lines - no ifs, no buts. The coverage for the C(14,6,4,4,1)=80 for any match in a 6/49 Lotto game is only 21.82% compared to 80 random selections using the full Pool of 49 of 78% + or - 1. 

However, according to Dr Iliya Bluskov it "will secure a certain guarantee".

The next paragraph introduces the reader to the Iliya Bluskov art of devious, deceitful semantics and just outright lies. The paragraph is reproduced below; let's examine it phrase by phrase.

        "Naturally, one can ask: What is the advantage of
         playing for such a guaranteed win? If we compare
         playing with 80 random tickets against 80 tickets
         forming a (14,6,4) covering we see that the probability
         of a 6-win ("hitting the jackpot") is the same for
         each ticket; namely 14c6^-1. However, if any 4 of
         the numbers drawn are among the 14 numbers chosen by
         the syndicate, then the 80 tickets of a (14,6,4)
         covering guarantee at least one 4-win while 80 random
         tickets (on the same 14 numbers) guarantee nothing!

         This property of the coverings is attractive to some
         lottery players and there are many books (see, for
         example, [32] or [46]) and computer software
         available describing coverings. In this application,
         the coverings are often referred to as wheels or
         lottery systems."


The paragraph begs the question to any rational and mildly analytical reader,
"Why random selections from only 14 numbers when the example is for a 6/49 Lotto game?". Also, "Where would a normal player go to get 80 random selection lines from a Pool of only 14?"

Now, knowing Iliya Bluskov and most of his tactics from the other article I started titled :-

Professor Iliya Bluskov promotes deceitful claims for Lotto Covers or Wheels
https://groups.google.com/forum/#!topic/rec.gambling.lottery/TVhINzsP0hI

- the first accusation he will make is to accuse me of rigging the 80 random lines of 6 from 14. Well, at the bottom of this page I have embedded the reputable Randomizer.org RNG for your convenience with instructions.

Let's examine this very loud sentence,
         "However, if any 4 of the numbers drawn are among the
          14 numbers chosen by the syndicate, then the 80
          tickets of a (14,6,4) covering guarantee at least one
          4-win while 80 random tickets (on the same 14 numbers)
          guarantee nothing!"


Far from being no guarantee after the draw as Iliya Bluskov states for 80 Random Selections of 6 numbers from 14, if three numbers or four are seen to be in the draw then there is a 4if6 guarantee as well as a 3if4 and consequently 3if5 and 3if6.



Range Absent Integers 3if3 Covered 3if3 Uncovered 3if4 Covered 4if4 Covered 4if4 Uncovered 4if5 Covered 4if5 Uncovered 4if6 Covered Repeats
1 to 80 0 360 4 TRUE 692 309 1989 1 TRUE 2
81 to 160 0 358 6 TRUE 704 297 1996 6 TRUE 0
161 to 240 0 360 4 TRUE 711 290 1988 14 TRUE 1
241 to 320 0 359 5 TRUE 686 315 1989 13 TRUE 1
321 to 400 0 357 7 TRUE 673 328 1991 11 TRUE 2
401 to 480 0 362 2 TRUE 717 284 2000 2 TRUE 1
481 to 560 0 362 2 TRUE 721 280 1998 4 TRUE 1
561 to 640 0 364 0 TRUE 707 294 1993 9 TRUE 4
641 to 720 0 362 2 TRUE 702 299 1987 15 TRUE 1
721 to 800 0 363 1 TRUE 727 274 1999 3 TRUE 0
801 to 880 0 357 7 TRUE 690 311 1986 16 TRUE 2
881 to 960 0 352 12 TRUE 684 317 1976 26 TRUE 2
961 to 1040 0 361 3 TRUE 708 293 1989 13 TRUE 0
1041 to 1120 0 358 6 TRUE 702 299 1982 20 TRUE 2
1121 to 1200 0 356 8 TRUE 690 311 1982 20 TRUE 1
1201 to 1280 0 352 12 TRUE 694 307 1981 21 TRUE 1
1281 to 1360 0 358 6 TRUE 689 312 1995 7 TRUE 2
1361 to 1440 0 357 7 TRUE 703 298 1996 6 TRUE 2
1441 to 1520 0 362 2 TRUE 729 272 1997 5 TRUE 1
1521 to 1600 0 360 4 TRUE 707 294 1990 12 TRUE 2













20 samples of 20 Random Selections from 1000 generated Random Selections using the Merzenne Twister algorithm for Pool 10 and Pick 6 showing that far from there being no guarantee as Iliya Bluskov states there is a guaranteed prize for the hypothetical 6/10 Lotto game for 4if6 and 3if4 (consequently 3if5 and 3if6 as well).

Range 6/49 3if6 Coverage Absent Integers Repeats 3if6 Covered 3if5 Covered 3if4 Covered 3if3 Covered 3if3 Uncovered 4if6 Covered 4if5 Covered 4if5 Uncovered 4if4 Covered 4if4 Uncovered
1 to 20     8.96 0 1 TRUE TRUE TRUE 119 1 TRUE 252 0 166 44
21 to 40     8.77 0 2 TRUE TRUE TRUE 116 4 TRUE 251 1 156 54
41 to 60     8.44 0 0 TRUE TRUE TRUE 111 9 TRUE 251 1 149 61
61 to 80     8.90 0 0 TRUE TRUE TRUE 118 2 TRUE 251 1 164 46
81 to 100     8.96 0 0 TRUE TRUE TRUE 119 1 TRUE 252 0 164 46
101 to 120     8.83 0 2 TRUE TRUE TRUE 117 3 TRUE 252 0 162 48
121 to 140     8.96 0 0 TRUE TRUE TRUE 119 1 TRUE 251 1 170 40
141 to 160     8.77 0 1 TRUE TRUE TRUE 116 4 TRUE 250 2 161 49
161 to 180     9.03 0 2 TRUE TRUE TRUE 114 6 TRUE 249 3 153 57
181 to 200     8.96 0 0 TRUE TRUE TRUE 119 1 TRUE 252 0 172 38
201 to 220     8.96 0 0 TRUE TRUE TRUE 119 1 TRUE 252 0 172 38
221 to 240     8.37 0 0 TRUE TRUE TRUE 110 10 TRUE 248 4 143 67
241 to 260     9.03 0 1 TRUE TRUE TRUE 120 0 TRUE 252 0 169 41
261 to 280     8.96 0 1 TRUE TRUE TRUE 119 1 TRUE 252 0 173 37
281 to 300     8.77 0 1 TRUE TRUE TRUE 116 4 TRUE 251 1 162 48
301 to 320     8.63 0 0 TRUE TRUE TRUE 114 6 TRUE 252 0 160 50
321 to 340     8.70 0 0 TRUE TRUE TRUE 115 5 TRUE 251 1 153 57
341 to 360     8.57 0 1 TRUE TRUE TRUE 113 7 TRUE 247 5 153 57
361 to 380     8.90 0 1 TRUE TRUE TRUE 118 2 TRUE 252 0 169 41
381 to 400     9.03 0 0 TRUE TRUE TRUE 120 0 TRUE 252 0 173 37















To generate 80 Random lines of Pick 6, Pool 14 -
1st row enter 80
2nd row enter 6
3rd row enter 1 to 14
4th row Yes
5th row Yes

After generating select copy to Excel.
In Excel highlight numbers and Copy

In Excel select your start cell and then Paste Special.
In the Paste Special dialogue check transpose.




Colin Fairbrother


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