THE ULTIMATE BOOK ON PICK-6 LOTTO SYSTEMS
Lotbook Publishing are
proud to present the best book on lottery
wheeling systems or lotto wheels for any pick-6
lottery in the world. If you are a PLAYER
or a member of a GROUP OF PLAYERS and you plan to play
with more than one ticket and more than 6 numbers, then this is
the book
for you! If you are interested in pick-5 lotto systems, then
your best choice will be Dr. Bluskov's
pick-5 book.
We continue with a
presentation of Professor Bluskov's new
pick-6 book. In this new,
improved, and expanded edition, Professor Bluskov again delivers the best
lottery systems to the attention of lotto players from around
the world. A total of 128 current
world record least expensive systems for a broad range of guarantees
are presented.
We also offer a pocket
version of the new edition, The
Ultimate Guide to Lottery Systems, with 34 of the
best Bluskov's wheels for playing with up to 20 tickets,
which is appropriate for individual players and small syndicates. All of the
information presented at this site has relevance to both
Combinatorial Lottery Systems and the Ultimate Guide. The pocket
version can be ordered here.
A lottery system
(wheel) guarantees wins in the
same way a single ticket does. For example, a single ticket
guarantees a 4-win if 4 of your numbers are drawn. A lottery
wheeling system allows you to play with MANY NUMBERS and
still get the same guarantee (plus many other guarantees). For
instance, using the lotto system #20 from the book (and
playing with 10 numbers), you will get a guaranteed 4-win
whenever 4 of your 10 numbers are drawn. In this book
you will find, in 325 pages, the most ENTERTAINING, WELL-ORGANIZED, HIGHLY-BALANCED and
ECONOMICAL ways to play the
lotteries - the best lottery systems in existence. At a very modest price, this book
offers you a wealth of useful information and
strategies to change
your winning patterns. Not only do you get the
best
lottery wheels ever created, but you also get complete
information on the performance of every system, up to any
possible distribution of wins. If
you are a newcomer in the area of lotto systems, then you will
find a simple step-by-step explanation on how wheels
work and how you can use them in your lottery. If you are
experienced wheel user, you will find systems offering all kind
of guarantees in the minimum possible number of tickets. You
will also find systems with DOUBLE and MULTIPLE GUARANTEES,
excellent navigational tools and unique presentation. Check this section for more on how our book
compares with some other products on the market. In any case, if
you want THE NEWEST and THE BEST
on pick-6 lottery systems, you are at the right place! Please
feel free to browse the information we have put together for
you, and if you like what you see, do not hesitate to order THE
BOOK. This one time
investment could only positively change your lottery
experience. You are probably here, because you are going to
throw a couple of bucks at the next jackpot anyway, right? Why
not try the strategies of the big
winners? You can play the systems from the book over
and over for the years to come; they will never become
obsolete, simply due to the fact that improving any
system from the book is either impossible or very close to impossible! We wish you the best
of luck!
A MUST
FOR EVERY LOTTERY PLAYER!
Consider the following example: Suppose you play any pick-6
lottery and you buy just one ticket. A
single ticket guarantees you a 4-win if 4 of your
numbers are in the draw. What would you do if you want
to play not just a single ticket and 6 numbers, but,
for example, 10 numbers, and you want the same guarantee, that is, you want a
4-win whenever 4 of your 10 numbers are among the ones
drawn? Then you will need to buy more tickets.
How many? How would you arrange your numbers in the tickets?
This book gives you the BEST ANSWERS
to these and to MANY OTHER similar QUESTIONS.
In fact, if you want
to play with 10 numbers, then you need to buy at least 20
tickets for a 4-win guaranteed if 4 of your numbers are drawn.
However, just a set of
20 tickets, filled with random combinations of your 10
numbers, DOES NOT GUARANTEE YOU ANYTHING. This
book tells you how to organize your numbers so that you ALWAYS GET A GUARANTEED SET OF PRIZES, and it shows you how to
do so IN THE LEAST EXPENSIVE WAY.
It is a book for every lottery player (or a
group of players) who wishes to play with more than one ticket.
It provide strategies of playing for a desired guarantee using
more than 6 numbers in the MOST
ORGANIZED, WELL-BALANCED
and ECONOMICAL
WAY. The objects used for this purpose are the LOTTERY SYSTEMS (known also as WHEELS
or COVERINGS). Each system is
presented together with a TABLE OF ALL POSSIBLE WINS, so
that the players can estimate the expected win before the draw.
The complete tables of wins appear for the FIRST TIME IN A LOTTERY PUBLICATION. SYSTEMS WITH MULTIPLE GUARANTEES are
also published for the FIRST TIME EVER.
The book provides an ENTERTAINING
STRATEGY of playing the lottery. It is written by the RENOWN
LOTTERY EXPERT, PROFESSOR in MATHEMATICS
and COMBINATORICS, Dr. BLUSKOV,
who is also the INVENTOR of many
of the WORLD
RECORD-BREAKING
CONSTRUCTIONS of wheels (or coverings, as they are
called in mathematics). The book offers, ready
to use, the BEST LOTTERY SYSTEMS EVER
CREATED, completely supplied with information on the WINNING POSSIBILITIES.
The lottery
systems are explained in PLAIN LANGUAGE and are VERY EASY TO USE. NO MATHEMATICAL KNOWLEDGE
IS ASSUMED to either play or understand the systems and
the tables of possible wins, in spite of the fact that these
objects were created by using quite ADVANCED
MATHEMATICS.
"Life is finite. Time is infinite. The probability that I am alive
today is zero. In spite of this, I am now alive. Now, how is
that?"
Albert Einstein
Unlike the time in
the curious example of Einstein, the number of possible draws in
the lottery is finite and the probability of winning the jackpot is greater than
zero. For example, the probability of winning the jackpot in a
6/49 lottery is 1/13,983,816. The chances of winning smaller
prizes are much better. That is why, in the quest for the
elusive Jackpot, many players prefer to play with a well-organized group of tickets,
so that they can win guaranteed smaller prizes.
Lottery systems can be thought of as an interesting
and entertaining, but also very
precise strategy for playing the lottery. Although the
best lottery systems were created by using quite advanced mathematics and computations,
they are very easy to use. In fact, to use lottery systems,
all you need to know is how to count up to the number of balls used
in your lottery. No mathematical knowledge is
either assumed or required for playing a lotto system. In this book, you will find
an explanation on what constitutes a lottery
system and how to use it, and you will also be
provided with a number of excellent lotto systems to diversify
your lotto experience. You can go
directly to the explanation of lottery systems (wheels) here.
However, you might
find it useful to start with the following brief description of
lotteries. In this book
we focus on 6-numbers-drawn lotteries, but most of the existing
lotteries operate on the same principles as the 6-numbers-drawn
lotteries. If the main draw consists of 6 numbers,
the lottery is usually referred to as a pick-6 lottery. If
the main draw consists of 5 numbers, the lottery is called a
pick-5 lottery. There are also pick-3, pick-4, pick-7 and even
pick-more lotteries (Keno, for example).
So, a pick-6 lottery is a
game where one has to correctly guess several (usually 3 or
more) of the numbers (6, in the case of a pick-6 lottery) drawn
from a larger set, of, say, 49 numbers, for example, in order to
win a prize. In various places of the world, there are
lotteries with 25,26,27, etc., up to 90 numbers. The size of a
lottery often depends on the size of the country (or state)
where the lottery is played. This book
concerns lotteries where the main draw consists of 6 numbers
drawn out of a larger set of numbers (anywhere between 25 and
90). One can use the systems in the book for ANY such lottery in the world, even for
lotteries that might be introduced in the future and have a
number of balls outside the range 25-90. You can even use the
systems for playing 7-numbers-drawn lotteries, by adding a power
number (a number which is present in all of your
tickets).
In any lottery,
players fill out slips
containing one or more tables,
each containing all of the numbers of the lottery. For
example,
in a 6/49 lottery, each table has all 49 numbers, and the player
fills 6 numbers in each table. We also
refer to these tables as
tickets.
(Other sources use terms such as games,
plays,
or boards.)
A combination is the set of
6 numbers filled in a particular table. When the draw comes, 6
numbers are drawn arbitrarily from the set of all numbers in the
lottery. Players win whenever they correctly guess 3 or more of
the numbers drawn in one of their tickets. The number of tables
on a slip is irrelevant to the application of our lottery
systems.
LOTTERY SYSTEMS
If you watch morning shows or check your lotto
publication regularly, you have probably seen it
already, a syndicate of 7, or 10, or any number of people, won
the big
jackpot; or a smiling individual holding the big check
and sharing his/her joy with the world. You have dreamed of you
being there on the picture, have not you? I have dreamed about
that too; still do, as a matter of fact. Occasionally, the
winners will mention how they got there, some of them will
praise their lucky numbers, and others will
claim they used a lottery system. Yet others may have
used a lottery system, but they will shy away from mentioning it
to the public, they will just enjoy the money and try to win it
again. So, what is the hype about? It is about the fact that if
you want to play more numbers and you want to have certain
guaranteed wins, then you have to use a lottery system
(or a lottery wheel, as some authors call it) to organize (or
wheel) your numbers. What a lottery system is and how it can
help you diversify your lottery playing experience? In this book,
the lottery systems will be demystified for you, and you will be
provided with a nice collection of great lotto systems.
Lottery systems are sought and used by lottery players
throughout the world. Lottery systems are considered to be not
only entertaining,
but also a very well-organized way of playing the lottery.
This book introduces the best-known systems (also called trapping
systems, or wheeling systems, or wheels
in short; mathematicians call these objects coverings). I
talk more about what "best" means in here. Lottery players like
using a system, because a system guarantees wins in the same
way a single ticket does, while it allows playing with many
numbers (7,8,9,10,… etc.). I believe that using a lottery system
from my book is more entertaining
than just using a system from other sources or playing a random
collection of tickets, and one of the reasons is the following:
The possible wins for each system can be studied in advance from
the Table of Possible
Wins, a feature that has been fully developed and
implemented for the first time ever in my books. Players like
the fact that playing with systems provides a steadier stream of wins compared to playing with a random
collection of tickets. You can find more on that
in the Guarantees
section.
Players also like the fact that playing with a system increases the chances of winning. This
comes with a price, of course: The price of purchasing more than
just one ticket. However, you might have already been playing
with more than one ticket per draw, or, perhaps, you have
considered doing so. Then this
book is exactly the book you need.
Suppose for example, you want to play with 10 numbers
instead of just 6. Naturally, you are willing to play more than
one ticket and you want a certain guarantee. Let us say that you
want a 4-win whenever 4 of the numbers drawn are in your set of
10 numbers. This means you want a set of combinations (tickets)
that covers every possible quadruple out of your 10 numbers.
Such a set of combinations is an example of a lottery
system. You can find a lottery system with this
property under #20 in the book.
In this example, the lottery system has the property that any
quadruple out of your set of 10 numbers is contained in
at least one of your combinations, so you get a guaranteed
4-win whenever 4 of your 10 numbers are drawn.
In a sense, a lottery system expands the guarantee
that you have on playing just 6 numbers (one ticket). If you
just play one ticket and correctly guess 4 numbers, then you are
guaranteed a 4-win. The lottery system in our example has the
same guarantee, a 4-win if 4 numbers are guessed correctly,
except that now you play a larger selection of numbers; 10 in
this case. (In this book we
also present systems with 4 if 4 guarantee for playing anywhere
between 7 and 19 numbers.)
GUARANTEES
All of the lottery systems presented in this book have certain guarantees.
Here I explain what the advantages of using a
lottery system are and what exactly a guarantee means
when you play a lottery system. Using a lottery system
assumes that you play with more than six numbers,
and you want to organize your numbers in such a way
that a certain minimum win is guaranteed. If
you play with just one ticket and you correctly guess 4
numbers, then you are guaranteed exactly one 4-win. A
possible question was mentioned earlier, namely: How
to build a system that guarantees a 4-win
on 4 guessed numbers, if you play with not 6, but say,
10 numbers. Let us look at
our previously mentioned example from the book, System #20. By
using System #20, you are
guaranteed a 4-win whenever 4 of
your 10 numbers are among the 6 numbers drawn.
The system shows that you only need 20
combinations (or 20 tickets) to do so. Out of
10 numbers, one can form 210 distinct sextuples (the
non-mathematicians can take my word for it; those with some
mathematical preparation can apply the formula
C(10,6)=210). Therefore, you only need to play 20 of
these 210 combinations to achieve the 4 if 4 guarantee. What
are the advantages of playing for such a guaranteed
win? Let us compare playing with 20
random tickets against 20
tickets chosen according to our lottery system. We should mention that the probability
of a 6-win ("hitting the
jackpot") is the same for each ticket.
However, if any 4 of the numbers drawn are among the
10 numbers chosen by you, then the 20 tickets of the lottery
system guarantee at least one 4-win,
while 20 random tickets (on the same 10 numbers)
guarantee nothing! This illustrates one of
the main advantages of using a lotto system. Suppose you
played your 10 numbers in the 20 combinations of System #20 for a long
time and hit 4 of the numbers drawn, say, 15 times, over
this period of time. Every time you hit 4 of the numbers
drawn, you won at least one 4-prize. Had you played your 10
numbers in 20 random combinations, you would have probably
hit a 4-win several times, but, most likely, not all 15
times, as with the system. In a worse case scenario,
you could have missed the 4-win in each of the 15 draws in
which you hit 4 of the numbers drawn! The reason is quite
natural: Random
combinations do not come with a guarantee;
a system does!
If you want to follow everything
mentioned in the last two sections, you can check our
companion site www.lottowheeling.com,
where you will find an interactive example of system #20,
which we used as an illustration here. It allows you to substitute your numbers, generate your combinations,
check how the guarantee of the
system works, and also check
it against any possible draw if you enter the
numbers drawn; the same functionality is available for every system presented
in this book.
MINIMALITY
Lottery systems have been used by lottery players throughout
the world. In fact, some European lottery corporations have
integrated lottery systems in the automated processing
of lottery tickets. Most of the existing implementations are
based on out-of-date systems. Lottery players have always been
attracted to the most economical lottery systems,
that is, systems achieving certain guarantee in the minimum
possible (or known) number of tickets. Recent
advances in the research on coverings made it
possible to reduce the number of combinations in many systems to
the absolute
minimum in the entire range of possible guarantees.
These advances are reflected in the book.
Minimality
is an important quality of all lottery systems in my books. The
logic behind seeking minimal systems is simple: Let us
assume you play with 10 numbers. If you could get a guaranteed
4-win by using a system in 20 combinations (system #20 from this book) and a
system in 30 combinations, then which one would you choose? The
answer is obvious: You would most likely prefer to get the guaranteed
4-win in the fewest number of tickets possible,
in this case, in 20 tickets. Some players might argue here: OK,
but if I play 30 tickets, I will have 30 shots at the jackpot
rather than just 20. True, but if you really want to play 30
tickets, perhaps, you can play for a higher guaranteed
prize, or you can play more than 10 numbers for the
same guarantee, thereby giving yourself a better chance to
capture all of the jackpot numbers in your larger set. So, the minimality
concerns the following question: How many tickets have to be
played in order to have a certain guarantee? Clearly, you want
to achieve this guarantee in the minimum number of tickets
possible. Well, then you are at the right place: All of the
systems presented in this book use the minimum known
number of tickets. The systems are combinatorial objects
that have been extensively studied by
mathematicians and computer scientists. The systems in this book are either impossible
or very
unlikely to ever be improved. Some of the
systems represent classical results in combinatorics;
others originate from recent research. Many of the
systems have been obtained by the author and described in depth
in a series of scientific papers. Others have been
obtained via hundreds of hours of programming and computations.
As a result, all of the systems are currently the best
(in the minimum number of tickets) known. For some of
the systems we can say even more: They are mathematically
minimal, meaning that no further improvement (that is,
reducing the number of tickets while preserving the guarantee)
can ever be done.
Let us look one more time at our example, System #20. It has been proven
that the minimum number of tickets is 20 for the given
guarantee. In other words, if you want to play 10 numbers and
you want a guaranteed 4-win if 4 of your 10 numbers are drawn,
then you need to play at least 20 tickets. System #20 achieves this guarantee
in exactly
20 tickets, and this is the minimum possible number of tickets.
That is why we call such a system mathematically minimal.
A new feature and a very important
quality of our book is the full
table of possible wins for each of the presented
systems. The tables give the distribution of wins in all
possible draws and are excellent tools for
determining which system to choose and what could the expected win be once you hit some
(usually at least three) of the numbers drawn. Let us take a
look at the table of possible wins for System
#20. Each lines represents a possible distribution of
wins. The last column shows the probability of the corresponding
distribution of wins.
| Guessed |
6 |
5 |
4 |
3 |
% |
| 6 |
1 |
- |
12 |
4 |
2.38 |
| |
1 |
- |
10 |
8 |
7.14 |
| |
- |
3 |
8 |
7 |
28.57 |
| |
- |
3 |
7 |
9 |
28.57 |
| |
- |
2 |
9 |
8 |
28.57 |
| |
- |
- |
15 |
2 |
4.77 |
| 5 |
- |
1 |
4 |
10 |
23.81 |
| |
- |
1 |
3 |
11 |
23.81 |
| |
- |
- |
7 |
6 |
23.81 |
| |
- |
- |
5 |
11 |
23.81 |
| |
- |
- |
5 |
10 |
4.76 |
| 4 |
- |
- |
3 |
4 |
2.38 |
| |
- |
- |
3 |
2 |
4.76 |
| |
- |
- |
2 |
7 |
28.57 |
| |
- |
- |
1 |
9 |
28.57 |
| |
- |
- |
1 |
8 |
35.72 |
| 3 |
- |
- |
- |
5 |
8.33 |
| |
- |
- |
- |
4 |
16.67 |
| |
- |
- |
- |
3 |
75.00 |
If you play System #20 and 4
of your 10 numbers are drawn, then the system guarantees you at
least one 4-win. Note that you will actually win more than that:
There are five possibilities that are clearly seen from the
table; these are given in the five lines of the section
corresponding to 4 guessed numbers: You can either get one 4-win
and either 8 or 9 3-wins with probabilities 35.72% or 28.57%,
correspondingly, or you can get two 4-wins and seven 3-wins
(probability 28.57%), or three 4-wins and either two or four
3-wins with probabilities 4.76% or 2.38% correspondingly.
Similarly, if you correctly guess only three numbers, you get at
least three 3-wins, or more precisely, three 3-wins with
probability 75%, four 3-wins with probability 16.67%, or five
3-wins (probability 8.33%). The percentages add up to 100% in
each of the four sections of the table. We include a further
brief explanation for those readers who are not familiar with
probabilities: Suppose you have played long enough
with the same system and hit 3 of the numbers many times. Then,
in approximately 75 out of 100 cases, you will have three
3-wins; in 17 (16.67, to be precise) out of 100 cases, you will
have four 3-wins, and in 8 (8.33, to be precise) out of 100
cases, you will get five 3-wins.
Presenting
individually every line in the full table is not always
physically possible; in many cases, the full table would contain
up to several thousands entries. In such cases, we present an abbreviated table. An abbreviated table
still comprises all possible distributions of wins, but most of
the lines in such a table actually represent several lines from
the full table. We have chosen to keep distinction between the
highest prizes. For example, had the table for System #20 been much longer, we
could have written the 6-wins section abbreviated form as
| Guessed |
6 |
5 |
4 |
3 |
% |
|
6
|
1 |
- |
10-12 |
4-8 |
9.52 |
| |
- |
3 |
7-8 |
7-9 |
57.14 |
| |
- |
2 |
9 |
8 |
28.57 |
| |
- |
- |
15 |
2 |
4.77 |
instead of
| Guessed |
6 |
5 |
4 |
3 |
% |
| 6 |
1 |
- |
12 |
4 |
2.38 |
| |
1 |
- |
10 |
8 |
7.14 |
| |
- |
3 |
8 |
7 |
28.57 |
| |
- |
3 |
7 |
9 |
28.57 |
| |
- |
2 |
9 |
8 |
28.57 |
| |
- |
- |
15 |
2 |
4.77 |
We can justify such
abbreviations by observing that what matters most are the highest-ranked prizes (those in
the leftmost non-empty column of the corresponding part of the
table). I tried to keep distinction between the highest prizes.
What one gets in lower-ranked prizes is usually just a small
percentage of the entire win.
Playing with the systems is very easy: The
operations are the same for any system in the book. In our
example, System # 20, where
you play with 10 numbers, you just (1)
write the numbers from 1 to 10 in a line (these are the
numbers in the original system), then (2) write your 10 numbers in a
line below the first one, and finally, (3) substitute each number in the
original system by the corresponding number from the second
line to obtain your set of tickets. Now, it only
remains to (4) fill your
combinations in the playing slips. For example, if you
choose your 10 numbers to be 3,7,12,14,18,22,29,33,40, and 46,
then you will write
| Numbers
in the original system: |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
| Your numbers: |
3 |
7 |
12 |
14 |
18 |
22 |
29 |
33 |
40 |
46 |
| Original system: |
Your set of tickets: |
| 1. |
1 |
2 |
3 |
4 |
8 |
9 |
1. |
3 |
7 |
12 |
14 |
33 |
40 |
| 2. |
1 |
2 |
3 |
5 |
6 |
7 |
2. |
3 |
7 |
12 |
18 |
22 |
29 |
| 3. |
1 |
2 |
3 |
5 |
9 |
10 |
3. |
3 |
7 |
12 |
18 |
40 |
46 |
| 4. |
1 |
2 |
4 |
5 |
8 |
10 |
4. |
3 |
7 |
14 |
18 |
33 |
46 |
| 5. |
1 |
2 |
4 |
6 |
7 |
8 |
5. |
3 |
7 |
14 |
22 |
29 |
33 |
| 6. |
1 |
2 |
6 |
7 |
9 |
10 |
6. |
3 |
7 |
22 |
29 |
40 |
46 |
| 7. |
1 |
3 |
4 |
5 |
6 |
10 |
7. |
3 |
12 |
14 |
18 |
22 |
46 |
| 8. |
1 |
3 |
4 |
5 |
7 |
8 |
8. |
3 |
12 |
14 |
18 |
29 |
33 |
| 9. |
1 |
3 |
5 |
6 |
8 |
9 |
9. |
3 |
12 |
18 |
22 |
33 |
40 |
| 10. |
1 |
3 |
7 |
8 |
9 |
10 |
10. |
3 |
12 |
29 |
33 |
40 |
46 |
| 11. |
1 |
4 |
5 |
7 |
9 |
10 |
11. |
3 |
14 |
18 |
29 |
40 |
46 |
| 12. |
1 |
4 |
6 |
8 |
9 |
10 |
12. |
3 |
14 |
22 |
33 |
40 |
46 |
| 13. |
2 |
3 |
4 |
5 |
7 |
9 |
13. |
7 |
12 |
14 |
18 |
29 |
40 |
| 14. |
2 |
3 |
4 |
6 |
9 |
10 |
14. |
7 |
12 |
14 |
22 |
40 |
46 |
| 15. |
2 |
3 |
5 |
7 |
8 |
10 |
15. |
7 |
12 |
18 |
29 |
33 |
46 |
| 16. |
2 |
3 |
6 |
7 |
8 |
9 |
16. |
7 |
12 |
22 |
29 |
33 |
40 |
| 17. |
2 |
4 |
5 |
6 |
7 |
10 |
17. |
7 |
14 |
18 |
22 |
29 |
46 |
| 18. |
2 |
5 |
6 |
8 |
9 |
10 |
18. |
7 |
18 |
22 |
33 |
40 |
46 |
| 19. |
3 |
4 |
6 |
7 |
8 |
10 |
19. |
12 |
14 |
22 |
29 |
33 |
46 |
| 20. |
4 |
5 |
6 |
7 |
8 |
9 |
20. |
14 |
18 |
22 |
29 |
33 |
40 |
You can write your
numbers in
any order in the second line, not just in increasing
order; still the guarantee of the system will be the
same; moreover, the table of possible wins
will be the same (however, you might hit a different line of the
corresponding section of the table of wins).
Usually the systems are balanced,
in a sense that all numbers are almost
equally represented. That is why I
recommend arranging your numbers in increasing order;
then the substitution can be made in the easiest possible way.
Of course, if the system is not completely balanced, then you
might choose to put your favorite numbers
under the system numbers with the highest number of
occurrences.
Let us illustrate
one more time the guarantee of the system from our example (a
4-win if four of your numbers are drawn): Suppose the numbers
7,12,29, and 40 are drawn, then the system must bring you at
least one 4-win. Indeed, it is easy to check that this is so. In
fact, you will get two 4-wins (in tickets 13 and 16), and
according to the table of wins, you will also get seven 3-wins
(in tickets 1,2,3,6,10,14, and 15). You can also take a look at
the complete table of possible wins for
System #20.
The book also
contains systems with different types
of guarantees, for example, a guaranteed 4-win if
5 of the numbers drawn are guessed correctly. The use of such
systems is the same as in the example above. We also introduce
systems that have never appeared in the lottery literature or
software: Systems where the main guarantee is multiple prizes, for example, a
guarantee of two 4-wins if 4
(see an example) of
the numbers drawn are guessed correctly. Again, these
systems can be used in the same way as explained above.
For those of you (or your syndicate) who play a larger system,
or for anyone who wants to save the time needed for substituting your numbers, generating all the tickets, and
even checking the tickets against the
drawn numbers, we are offering a service/tool
that will perform operations 1)-3) electronically, on the web;
it will also check your tickets against the drawn numbers and
show your wins. Another service will perform operation 4) for
some lotteries. Check our companion site www.lottowheeling.com
for the added functionality.
Is This The
Best Pick-6 Lotto Book On The Market?
We believe the answer is: Yes, it is. Let us elaborate a bit
more on why we think this is the right answer. There are two
types of people who are interested in creating and improving
lottery systems. The first type is research mathematicians and
computer scientists who study coverings (the scientific term for
lottery systems) as a pure intellectual challenge, or, because
of some practical applications of coverings, other than lottery
systems. Then there is a second type of lotto systems chasers,
again, people with strong mathematical or/and computer science
background, who do not work in research, but had acquired an
essential knowledge on the subject on their own, and have been
interested in the challenge of creating a world record system.
Also, there is a separate category, with few people in it: Those
that actually bring the lottery systems to the attention of the
players, the authors of books on the subject. Sadly,
almost none of the people in the third category falls in the
first two, except for the author of this book, who happens to be
both a research mathematician and a creator of
lottery systems,
and had been in the second category for quite some time before
that.
A comparison of the wheels (systems) in this book
with any other published book or software product shows that we offer
you systems which, in
fewer combinations, give the same guarantee as
systems published elsewhere, meaning that we save you money while
you still play for the same guarantee. Naturally, no other
author can make a true statement like that. For example, below
is a table which gives a comparison with the popular book, Gail
Howard's Lotto: How To Wheel A Fortune. The table refers to both
the third edition (three digit wheel numbers) and the fourth
edition of the same title (five digit wheel numbers); the reason
being that the third edition is still in circulation as of the
time of publishing this book, plus the fact that there are
systems included in the third edition, but not included in the
fourth. We have listed systems for which we offer the
same guarantee in fewer tickets, and we have
also listed several systems with parameters that cannot be found
in any of Howard's books; not only to just emphasize the fact
that there are such systems in our book (actually, there are
many more than those mentioned in the table), but also to
demonstrate how big the gap could be in terms of performance
between Bluskov's systems and those found elsewhere. For
example, Howard's 20 numbers wheel #513 gives a 4 if 5 guarantee
in 216 combinations, while in this book you will find a 20
numbers system which gives the same guarantee in just 142
combinations. Not only will you find a system which gives the
same guarantee with much less combinations, but you will also
find two other systems with the same guarantee and more than
twenty numbers, 21 and 22, respectively (systems numbers 42 and
43 in this book), both having much less combinations than
Howard's 20 number wheel. You can observe a similar phenomenon
with Howard's wheel 615 and systems 61 and 62 from our book.
| Guarantee |
Numbers
played |
Gail
Howard’s book: |
Iliya’s Book: |
| System (wheel) # |
Number of tickets |
System (wheel) # |
Number of tickets |
| 5 if 6 |
11 |
65111 |
23 |
11 |
22 |
| 5 if 6 |
12 |
65112 |
39 |
12 |
38 |
| 5 if 6 |
13 |
406 |
77 |
13 |
61 |
| 5 if 6 |
14 |
407 |
123 |
14 |
98 |
| 5 if 6 |
15 |
408 |
190 |
15 |
142 |
| 5 if 6 |
16 |
409 |
280 |
16 |
223 |
| 4 if 5 |
11 |
504 |
12 |
32 |
10 |
| 4 if 5 |
12 |
505 |
18 |
33 |
14 |
| 4 if 5 |
13 |
64113 |
22 |
34 |
21 |
| 4 if 5 |
14 |
64114 |
32 |
35 |
29 |
| 4 if 5 |
15 |
64115 |
44
|
36 |
40 |
| 4 if 5 |
16 |
64116 |
60 |
37 |
52
|
| 4 if 5 |
17 |
510 |
88 |
38 |
66 |
| 4 if 5 |
18 |
511 |
118 |
39 |
81 |
| 4 if 5 |
19 |
512 |
164 |
40 |
111 |
| 4 if 5 |
20 |
513 |
216 |
41 |
139 |
| 4 if 5 |
21 |
– |
– |
42 |
169 |
| 4 if 5 |
22 |
– |
– |
43 |
189 |
| 4 if 6 |
15 |
64215 |
20 |
51 |
19 |
| 4 if 6 |
16 |
64216 |
28 |
52 |
25 |
| 4 if 6 |
17 |
64217 |
36 |
53 |
33 |
| 4 if 6 |
19 |
64219 |
58 |
55 |
54
|
| 4 if 6 |
20 |
64220 |
80 |
56 |
66 |
| 4 if 6 |
21 |
611 |
124 |
57 |
80 |
| 4 if 6 |
22 |
612 |
140 |
58 |
101 |
| 4 if 6 |
23 |
613 |
153 |
59 |
119 |
| 4 if 6 |
24 |
64224 |
158 |
60 |
143 |
| 4 if 6 |
25 |
615 |
238 |
61 |
166 |
| 4 if 6 |
27 |
– |
– |
62 |
222 |
We should mention though that this table shows
just a fraction of the advantages
of our book in
comparison with Gail Howard's book and any other book on the
market. Other improvements and unique features are the presentation
of the material, the newly introduced complete
table of possible wins, considered by
many readers to be one of the best features of the book, and the
systems
with double and multiple guarantees. Both the complete tables and the systems
with double and multiple guarantees appear for the first time in
a lottery publication.
Can You Win
The Jackpot By Playing With A Lottery System?
Of course, you can!
In fact, every ticket of your
system can win the jackpot. The advantage of using a lottery
system is that even if you do not win the jackpot, you will
still get your guaranteed wins.
That is why lottery players and groups of players prefer to use
systems. The number of tickets purchased by individual
players and groups increases with the increase of the jackpot. A lottery system gives you the opportunity to
chase the jackpot in the most organized and entertaining way, and also guarantees some smaller prizes if less
than 6 of your numbers are drawn. Of course, if you hit
the jackpot, using a lottery system, then you will also win a
number of smaller prizes.
A system that
guarantees the jackpot (that is, a 6-win if 6 of your numbers
have been drawn) is expensive. Below is a table that gives you
the number of combinations you need to play in order to get
every possible combination out of your numbers.
| Numbers |
Number
Of |
| Played |
Combinations |
| 7 |
7 |
| 8 |
28 |
| 9 |
84 |
| 10 |
210 |
| 11 |
462 |
| 12 |
924 |
| 13 |
1,716 |
| 14 |
3,003 |
| 15 |
5,005 |
| 16 |
8,008 |
| 17 |
12,376 |
The number of tickets increases very fast. A
system that contains all possible combinations is called a complete system. Complete
systems are not included in this book. Most of the existing
lotteries allow using such systems automatically and supply the
corresponding tables of wins.
BONUS
NUMBER(S)
Some lotteries introduce one or more additional (bonus) numbers and pay prizes
if you hit, say, 5 of the "regular" numbers plus an additional
number, which corresponds to a 5+1-win. Other winning
combinations are also possible. All of
our systems are valid for these lotteries. Due to the
diversity in using bonus numbers, and in order to keep the book
compact, we have chosen not to include information on bonus
number prizes in the tables of wins. If your lottery has bonus
numbers, you only need to double-check the winning tickets
containing these numbers.
THE
ODDS OF WINNING
The odds (or
probability,
or chance) of hitting
the jackpot are the same for any particular ticket. A system
contains several tickets, so the chance of winning the jackpot
increases with the number of tickets played, but so do the
expenses. What a system really does is that it guarantees
smaller wins, while just a random selection of tickets usually guarantees
nothing, even if all of the 6 numbers drawn are
in your set of numbers (assuming
that you play with more than 9 numbers). The chance of winning any particular set of prizes is
clearly seen from the tables
of wins.
ATTENTION!
A frequently asked question
is: I have used a system and won, but my set of prizes can be
found nowhere in the table of wins. What is wrong? There are two
possible explanations: You have either produced your set of
tickets incorrectly, or you have made a mistake while filling
your playing slips. So, do the
substitution carefully, avoid
any distraction while filling the playing slips.
A single mistake can cost you a huge prize...
LARGER
SYSTEMS
The systems in this book can
be used to play any 6-numbers-drawn lottery in the world and are
best suited for individual players or small syndicates. Most of
the systems presented in this book have less than 300 combinations. There are
only two exceptions, systems # 7 and # 29. Players
who want to try larger
systems, or larger syndicates who can afford larger
systems, as well as all players who just like to have a bigger
collection of systems of all sizes can contact the publisher or
the author for information. We believe, and probably most of our
readers will agree, that playing the lottery with systems with exceptionally large number
of tickets contradicts the idea of lottery itself and
is a risky investment.
However, for larger and/or richer syndicates, bigger systems (up
to many thousands of combinations) can be designed and
delivered, if needed. Contact us at lotbook@telus.net. If you
appreciate those rare mathematically
minimal and exceptionally highly
balanced systems with guaranteed
multiple wins, we have compiled a list of
such possible large systems.
A WORD
FROM THE AUTHOR
I would like to start with making it perfectly
clear that I do not promote any particular lottery and am not
associated with any of the existing lotteries. This book came as
a result of long years of experience in creating and improving lottery
systems. I have worked as a freelance
writer for a number
of lottery publications in
Europe and North America, and I have spent many years in
research in Combinatorics, an area of Mathematics, that among
other things deals with combinatorial
lottery systems (or coverings, as they call them
in Combinatorics). I hold a M.Sc.
and Ph.D. in Mathematics and work as a university
professor. All of my publications, including both
my master's thesis and doctoral dissertation, are related to
lottery systems. The objects in this book originate from the most recent research in the area,
and are based on my expert knowledge
of the subject. That is why this book has no match among the publications and software in existence.
I hope you will appreciate the qualities of this fine book and
enjoy playing with the lottery systems. I wish you the best of luck!
Finally, I would appreciate any feedback from my successful
readers and users of lottery systems. Please write about your experience with the lottery
systems, especially if you hit it big! Your stories could
provide useful input for further
improvements of this book. You can write to the
publisher's address given below or send an e-mail to lotbook@telus.net.
Lotbook
Publishing
P.O. Box 33031
West Vancouver, B.C.
V7V 4W7 Canada
Acknowledgments
A book of this size and quality would not have
been possible without using the knowledge
created during centuries of mathematical research, and without the help and
support of lottery enthusiasts, fascinated by the subject of creating and improving
lottery coverings. During my long career as a professional mathematician
and lottery contributor, I have had the opportunity to work with
some of the greatest minds on the planet, lottery enthusiasts
and researchers in the area of coverings, such as Ricardo
Bertolo from Italy, Heikki Hammalainen from Finland and Jan de
Heer from Holland. Special thanks to Jan de Heer for his
permission to use a couple of his recent world record breaking
covering constructions and also to Anastasios Tampakis (Greece),
who recently broke a couple of records
using his software Wheel Generator. A
contribution from Alexander James, a lawyer, hobby player and
mathematician, and twice 6/38 Pools winner from Australia is
highly appreciated. In addition, I want to express my gratitude
to unknown number of other researchers and lottery enthusiasts
who have either contributed to the knowledge on coverings and
the current
table of
records or have inspired the search for these beautiful
objects.
SYSTEMS WITH MULTIPLE GUARANTEES
The second part of the book presents systems where the
main guarantee is two or more identical
prizes. What is the point of playing with a
double (or multiple) guarantee system? Let us focus on the double guarantee systems. The
main advantage is that, in some cases, due to the specifics of
the combinatorial problem, we are able
to achieve the double guarantee in less than twice the
number of combinations needed for the single guarantee.
Let us consider our
basic example, System # 20 (you play
with 10 numbers in 20 tickets and you get a 4-win whenever 4 of
the numbers drawn are in your set of 10 numbers). Recall that 20 is the minimum number of tickets
that will guarantee you this prize. Now, suppose you want to
play for two 4-wins guaranteed
whenever 4 of your numbers are drawn. The simplest way is to
play twice the System # 20 (so you have
to fill 40 tickets). This
way you will have repeated tickets and repeated wins
correspondingly. However, it is possible to have the same
guarantee (two 4-wins if 4 of your numbers are drawn) in just 30 tickets and no repetition!
You can find the system with this property under # 88 in the book. We should mention that 30 is again the minimum possible number of tickets,
but now, it is the minimum for the double guarantee, so that you
have an example of another mathematically
minimal system. Indeed, all of the systems in the
second part of the book have the same nice property: THEY GIVE YOU THE DOUBLE GUARANTEE IN A
NUMBER OF TICKETS WHICH IS LESS THAN TWICE THE NUMBER OF
TICKETS NEEDED FOR THE SINGLE GUARANTEE.
Part III of the
book
contains systems with multiple
guarantees. The systems in this part have the
same nice properties as
described for the double guarantees. We have chosen to present
the most economical systems, that is, systems which give you the
multiple guarantee in much less than the corresponding multiple
number of tickets. In addition, we have selected only highly balanced systems for this
section: Not only every number appears the same number of times
in the combinations of the system, but, in many cases, every
pair of numbers appears the same number of times, and, in some
cases, every triple or even every quadruple appears the same
number of times! Information on the balance
is supplied in the author's comments
on the qualities of each particular system.
An Example of a
Double Guarantee System
Below is an example
of a double guarantee system.
It also shows how the systems are presented throughout the book. Each
system is given as a separate article including
1) a table of all possible
wins, 2) comments on various
characteristics of the system such as minimality, balance and
density, and 3) the system
itself.
SYSTEM # 88:
GUARANTEED TWO 4-WINS IF 4 OF THE NUMBERS DRAWN ARE IN YOUR SET OF 10 NUMBERS
© Copyright 2020
1) Table of possible wins
|
Guessed
|
6
|
5
|
4
|
3
|
%
|
|
6
|
1
|
-
|
18
|
8
|
14.29
|
|
|
-
|
4
|
12
|
12
|
85.71
|
|
5
|
-
|
1
|
6
|
16
|
71.43
|
|
|
-
|
-
|
10
|
10
|
28.57
|
|
4
|
-
|
-
|
3
|
8
|
14.29
|
|
|
-
|
-
|
2
|
12
|
85.71
|
|
3
|
-
|
-
|
-
|
5
|
100.00
|
2) Comments
The best known single guarantee system
(# 20) has 20
combinations. The system presented here gives you
the double guarantee in
just 30 combinations. It
also guarantees ten 4-wins (plus ten 3-wins) if five of your
numbers are drawn, five 3-wins if three of your numbers are in
the draw, and four 5-wins plus a number of other prizes if all
of the numbers drawn are guessed correctly. Of course, you can
also win the jackpot plus some extra cash. The system is EXCEPTIONALLY HIGHLY BALANCED: Each
number is in exactly 18 combinations, each pair of numbers is in
exactly 10 combinations and each triple is in exactly 5
combinations. It is also MATHEMATICALLY
MINIMAL for all of the above mentioned guarantees! This
system even has an additional nice
property: Every two combinations differ in at
least two numbers, that is, the combinations are as 'apart' as possible. The
complete system would require 210 combinations.
| 1. |
1 |
2 |
3 |
4 |
5 |
10 |
16. |
1 |
4 |
5 |
6 |
8 |
10 |
| 2. |
1 |
2 |
3 |
4 |
7 |
8 |
17. |
1 |
4 |
5 |
7 |
8 |
9 |
| 3. |
1 |
2 |
3 |
5 |
6 |
8 |
18. |
1 |
5 |
6 |
7 |
9 |
10 |
| 4. |
1 |
2 |
3 |
5 |
7 |
9 |
19. |
2 |
3 |
4 |
5 |
8 |
9 |
| 5. |
1 |
2 |
3 |
6 |
9 |
10 |
20. |
2 |
3 |
4 |
6 |
7 |
9 |
| 6. |
1 |
2 |
4 |
5 |
6 |
9 |
21. |
2 |
3 |
4 |
6 |
8 |
10 |
| 7. |
1 |
2 |
4 |
6 |
7 |
10 |
22. |
2 |
3 |
5 |
6 |
7 |
10 |
| 8. |
1 |
2 |
4 |
8 |
9 |
10 |
23. |
2 |
3 |
7 |
8 |
9 |
10 |
| 9. |
1 |
2 |
5 |
7 |
8 |
10 |
24. |
2 |
4 |
5 |
6 |
7 |
8 |
| 10. |
1 |
2 |
6 |
7 |
8 |
9 |
25. |
2 |
4 |
5 |
7 |
9 |
10 |
| 11. |
1 |
3 |
4 |
5 |
6 |
7 |
26. |
2 |
5 |
6 |
8 |
9 |
10 |
| 12. |
1 |
3 |
4 |
6 |
8 |
9 |
27. |
3 |
4 |
5 |
6 |
9 |
10 |
| 13. |
1 |
3 |
4 |
7 |
9 |
10 |
28. |
3 |
4 |
5 |
7 |
8 |
10 |
| 14. |
1 |
3 |
5 |
8 |
9 |
10 |
29. |
3 |
5 |
6 |
7 |
8 |
9 |
| 15. |
1 |
3 |
6 |
7 |
8 |
10 |
30. |
4 |
6 |
7 |
8 |
9 |
10 |
Lotbook, © Copyright 2020
lotbook@telus.net
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