Lotto system 7 out of 50. Lottery system: winning combinations

Partial or drum systems
or how do they play according to the system?

There are a huge number of templates of incomplete systems that differ only in the number of combinations they can offer, as well as the guaranteed number of guessed numbers in any combination... - provided that in your row, for example, of twenty numbers - there will be all the prize money or the necessary number of partial matches (depends on the selected system). The choice of system is usually based on the willingness to sacrifice some amount for the game. An incomplete system is a concept from the field of applied combinatorics, denoting a reduced matrix of combinations calculated based on the formula for the number of combinations of n-elements by m. A complete system is all possible combinations from a given set of numbers. The systems are mainly used when playing lotteries.

Many players who are fond of number lotteries sooner or later begin to use incomplete systems and show special interest in system play. Systems are mainly used when more numbers are required in a draw and the budget is limited. It is important to note that no lottery system can guarantee effective winnings in every draw. The system can guarantee a win if certain conditions are met. In addition, no system can guarantee a jackpot if not all numbers (all possible combinations) are used in the system. However, if in the selected group of numbers the required number of prize balls coincides, the incomplete system will play effectively, accordingly, bet more combinations on the next game, therefore, there will be a greater chance of winning a super prize, or a prize of the second category, which in some lotteries is quite decent in amount .

The more combinations the system can generate and the guaranteed addition of a combination of a series of numbers, by some coincidence, the more expensive it is and the greater the chance of a super prize, or a second category prize. Let’s imagine this situation: you somehow know exactly 18 numbers for the 5 out of 36 lottery, in which there are guaranteed to be 5 prizes - in fact, even in 18 numbers, it is not at all easy to “drive” all the prizes. If you expand these 18 numbers into a full system, you get 8568 combinations. Of course, they can be added theoretically if the budget and capabilities allow. But if there is no budget and opportunities, then an incomplete system will come to our aid, which will at least provide guarantees of the second, third,... categories of winnings. The warranty depends on the specific system. What about the first category prize? More on this below.

What is an incomplete system pattern?

I will give a specific example that simply clearly shows the very principle of composing systems. Let's say we want to play in the next draw of a lottery like 6 out of 49, not with 6 numbers, but with 20 numbers. And the budget is enough for 10 bets...

Our choice in this case: System “20 numbers - 10 combinations”
Guarantees at least a “three” with 6 guesses out of 20.

01 01-02-07-08-16-20
02 01-05-09-11-12-20
03 01-07-10-16-19-20
04 02-03-04-08-10-19
05 02-08-10-14-18-19
06 03-04-06-13-14-18
07 03-04-14-15-17-18
08 05-06-12-13-15-17
09 05-07-09-11-12-16
10 06-09-11-13-15-17

We choose any 20 numbers out of 49 at our discretion.

For example:

2, 5, 7, 9, 10, 12, 14, 16, 24, 25, 28, 32, 34, 36, 37, 39, 42, 43, 45, 49.

We assign the selected numbers their own serial number (from 1 to 20). You can number the selected numbers in any random order, in this case we will do it in ascending order.

Then we substitute our numbers instead of the system numbers (according to their serial numbers)
and as a result we get ready-made combinations for the game.

01 02-05-14-16-39-49
02 02-10-24-28-32-49
03 02-14-25-39-45-49
04 05-07-09-16-25-45
05 05-16-25-36-43-45
06 07-09-12-34-36-43
07 07-09-36-37-42-43
08 10-12-32-34-37-42
09 10-14-24-28-32-39
10 12-24-28-34-37-42

The above system guarantees that if in the selected row of 20 numbers (2, 5, 7, 9, 10, 12, 14, 16, 24, 25, 28, 32, 34, 36, 37, 39, 42, 43, 45 , 49) if we guess 6 numbers, then 100% we will have at least one winning ticket with a “three”. The advantage of the systems is (if we successfully expand the series) that in most cases, not one, but several lottery tickets win. Quite often, incomplete systems “catch” partial matches, even if not all the prizes are in the selected group of numbers.

What can you say about Jack Pot?

Remember, in incomplete systems, combinations are optimized for maximum partial match coverage. The chances of winning Jack Pot increase significantly only if you accurately guess the group of numbers (all prizes in the group must match), which is extremely rare. Without a special program and strategy, you are unlikely to be able to collect all the prize money even in a row of 20 numbers!

Let's see what is the probability of matching all the prize money in a group of 20 numbers
To know the probability of a selected group of numbers (full and partial match)
use the HYPERGEOMET statistical function that comes with Excel
or watch

The probability of “hooking” all the prize money with 20 numbers out of 49 is 1:361.
If you use one group of 20 numbers, then it will play 1 time per 361 draws (average) (6 matches). This is a very low probability. If we still managed to “drive” all the prize money into a row of 20 numbers, then the chance of Jack Pot (in the system above) will be approximately equal to 13,983,816/361/10 = 1: 3,873
(13,983,816 total number of combinations in 6x49).

How to correctly compose a group of numbers for systems?

There is a lot of all kinds of information on the Internet about incomplete systems, but there is very little information about methods and strategies for selecting numbers, one might say there is none at all... This issue, as a rule, is avoided, since the group is subject to probabilities and chance (unlike the a system that obeys combinatorics and clear algorithms). The main problem of incomplete systems is to create a group of numbers that can “probably” in a certain period of time (or a cycle of games) “catch” all the prize money, significantly increasing the chances of a super prize. In this case, it is desirable that such a group of numbers contains as few numbers as possible. If we manage to assemble a group for all matches, consisting of an adequate number of numbers, plus an incomplete system for an adequate number of combinations works, we can consider that a super prize is in our pocket!

The program is ideal for incomplete systems STALKER LOTTO PRO . The program implements tools for generating the most likely groups of numbers (for a cycle of games) - using special methods and strategies for selecting numbers (more precisely, groups, not individual numbers - frequency is used). Additionally, this program implements a combinatorial generator with an “advisor” function (aka STALKER LOTTO ), which works with the complete system, highlighting the most likely part with special algorithms - for the game cycle. If a probable area from the complete system coincides, the “accuracy of fire” is very high, and the chance of Jack Pot increases tens and even hundreds of times. You don't need to make groups or look for templates. The resulting combinations will be the most likely - both for partial matches and for prizes of the 1st and 2nd categories.

lottery system templates for lotteries
5 out of 36, 6 out of 45, 7 out of 49, 6 out of 49, and others

La Jolla Covering Repository Tables is the largest repository site on the Internet, containing a huge number of systems that provide the best coverage. Contains coverage tables C (v, k, t)

http://ljcr.dmgordon.org/cover/table.html

Incomplete systems, for any lotteries, with any guarantees, and for any budget - you can upload to the program STALKER LOTTO PRO, which has built-in search strategies for the most likely groups of numbers, for any length - for incomplete systems and more. We copy the template and save it as .txt - then the prepared template can be opened in the program.

In this program, you can load a very large system, say 30,000 combinations, then filter it further to the desired number of combinations. Why such a huge system? It's simple, the larger it is, the more likely it is to contain a super prize.

There are eight tables in total t = 2, 3, 4, 5, 6, 7, 8. In this case, t = N means the minimum number of numbers that must match. It is worth noting that many lottery programs use systems from La Jolla, as they have the best parameters. The systems may seem overly large, but they guarantee partial group matches - in the system above you need to guess a minimum of 3 numbers - in a group of 8 numbers. The resulting combinations may contain a pair of triplets and several pairs. If 4 numbers in a group are guessed, then 4 matches are possible. You can filter (reduce) systems in the program, for example, by the number that plays 3 draws in a row and other characteristics.

Complete systems are redundant and not profitable. But we can consider a hypothetical situation where the complete system could produce a positive result. Let's say, in 6 out of 45, your choice fell on 10 numbers and you are absolutely sure that all 6 winning numbers you are looking for are present in your set. The selected ten numbers need to be sorted according to the full system. The use of complete systems can be effective when it comes to large jackpots, since the chance of getting it will directly depend on the number of options, and not on the redundancy of the system. In this regard, small losses due to a decrease in the chance of winnings in the second and subsequent categories are not taken into account. In addition, if we are talking about fixed rates, then you don’t have to be so afraid of redundancy and it is quite acceptable to use full systems.

What is the complete system? It looks like a system of all possible combinations of a certain number of selected numbers. The number of combinations of a full system can be calculated using Newton's binomial (Bn). It is calculated as follows:

Bn = N * (N - 1) * (N - 2) * ... * (N - (K - 1)) / K!

If we consider a lottery of the “6 out of 45” variety, then the Newton binomial will be as follows:

Bn = (45 * 44 * 43 * 42 * 41 * 40) / (1 * 2 * 3 * 4 * 5 * 6) = 8,145,060.

A significant disadvantage of using full systems is the very high costs.

Incomplete systems

To save money spent during the gameplay, a large number of partial systems were invented.

In cases where you have a large number of numbers to choose from and you need to maximize your chances of winning, it is better to use a partial system with minimal redundancy. This calculation option is the most preferable and justified if the lottery jackpot is relatively small.

What's happened incomplete system? It means a system of serial (usually) numbers, which gives chances of winning at any level of the lottery except the maximum, provided that the system contains all the winning numbers. However, incomplete systems do not deny the possibility of winning the jackpot.

What is required to compile an incomplete system? First of all, it is based on a comparison of two full systems. Let's say we're talking about the "6 out of 45" draw again, and we need an incomplete system for 20 numbers with the probability of getting a "three". To do this, you need to compare the following two full systems: 45/6 and 20/3. Accordingly, the number of possible combinations (Bn) in the first system will be 8,145,060, and in the second - only 1,140. The combination we are looking for will be found when the “three” of the 20/3 system is in the “six” of the 45/6 system . If the combinations are the same, then it will be necessary to optimize the system (exclude the matching combinations).

Processing such a large amount of information is too labor-intensive and time-consuming. In this regard, various programs for automatically calculating the most likely winning combination came to the rescue. The advantages of using such programs are obvious: the possibility of erroneous calculations, which are often common during manual processing of information, is completely eliminated.

Advantages of incomplete systems

So what is it purpose of incomplete systems? The answer is obvious: the chances of getting a winning combination of 6 numbers in a lottery with a forecast base of 20 numbers will be much higher if you make accurate mathematical calculations than relying on fortune and creating the desired combination at random.

Provided that 6 winning numbers are included in the 20 predicted numbers, the probability of receiving a prize for a “three” will be 100%.

If 5 numbers are guessed, then the chance of winning is 80%, with 4 numbers correctly identified - 43%, and 3 - 14%. The probability of winning a “four” with correctly chosen 6 numbers is about 30%, and the chance of winning a “five” is 2% (that is, this option also exists).

The second important advantage that distinguishes incomplete systems from complete ones is the relatively low level of expenditure on the game. In this case, we were talking about a system with a “troika” guarantee. However, other systems have been invented that offer even greater guarantees.

As practice shows, during the game it is equally suitable to use any incomplete system convenient for the player with any type of guarantee. There are so many options for ready-made partial systems that you can easily find the one you need.

We can conclude that the incomplete system has absolute advantages and, in fact, is the only effective method for calculating a winning combination, which can be used almost always when playing lotteries.

Example of using incomplete systems

Let's assume that we have chosen one of the simplest incomplete systems for the "6 out of N" lottery, which 100% guarantees a "deuce" when two numbers are guessed.

System "7 numbers - 3 options"

The system looks like this. All you need to do is select seven numbers to play and place them in the appropriate places. I chose this: 1=>3, 2=>7, 3=>11, 4=>29, 5=>33, 6=>40, 7=>43. Here's what happened:

System

This system guarantees:

• with 3 guesses: 0-3 “threes”
• with 4 guesses: 3 “threes” or 1-3 “fours” + 0-2 “threes”
• with 5 guesses: 3 “fours” or 1-2 “fives” + 1-2 “fours”
• with 6 guesses: 3 “fives” or 1 “six” + 2 “fives”

System "14 numbers - 25 options"

In this system we will use the following numbers: 1=>1, 2=>2, 3=>4, 4=>8, 5=>11, 6=>14, 7=>21, 8=>24, 9 =>26, 10=>29, 11=>31, 12=>35, 13=>38, 14=>39.

System

Result

This system guarantees:

• with 3 guesses: 1-4 “threes”
• with 4 guesses: 4-7 “threes” or 1-2 “fours” + 0-5 “threes”
• with 5 guesses: 10-14 “threes” or 1-4 “fours” + 4-12 “threes” or 1 “fives” + 0-2 “fours” + 3-10 “threes”
• with 6 guesses: 2-8 “fours” + 2-17 “threes” or 1-2 “fives” + 1-5 “fours” + 5-14 “threes” or 1 “sixes” + 0-3 “fours” + 7-16 "threes"

text from the “Sports Lottery Enthusiast’s Handbook” (1988), chapter – Systems for filling tickets for the “Sportloto” lottery

Many people are interested in whether there is a “universal system” for guessing lottery numbers with which one could regularly win?

No, such a system does not exist.

As in any lottery, success is determined by one of the elements of probability theory - the factor of chance. The result of the draw depends entirely on the actions of the lottery machine. By randomly mixing the balls without any human influence, the lottery machine produces such incredible combinations that it is simply impossible to imagine. Sometimes the lottery machine will throw out several numbers in a row, and sometimes, on the contrary, it will scatter the numbers all over the playing field of the ticket. Therefore, winning is possible both in a systemic game and in an unsystematic game.

However, only constant participation in the lottery from draw to draw with a small number of tickets, and not a “universal system” at all, allows you to become the owner of a prize.

What are the advantages of playing according to a system over playing without a system?

To accurately guess 6 numbers in the “6 out of 45″, “6 out of 49″ and 5 numbers in the “5 out of 36″ lottery, you need to fill out 8,145,060 and 376,992 combinations, respectively, which is almost impossible for one lottery participant, or for the whole to the team. Playing according to the system makes it possible to cover, within reasonable limits, a certain number of combinations made up of a group of numbers.

The system brings the possibility of winning closer: the more numbers covered by the system, the more likely the chance of winning.

And finally, in case of guessing, the system gives a large amount of winnings, since, as a rule, several combinations win.

How do they play the system?

Let's show this using the example of the “7 numbers - 7 combinations” system for the “6 out of 45” lottery. 7 numbers in this system are arranged in 7 combinations so that none of them is repeated:

1. — 1, 2, 3, 4, 5, 6
2. — 1, 2, 3, 4, 5, 7
3. — 1, 2, 3, 4, 6, 7
4. — 1, 2, 3, 5, 6, 7
5. — 1, 2, 4, 5, 6, 7
6. — 1, 3, 4, 5, 6, 7
7. — 2, 3, 4, 5, 6, 7

From 45 (49) lottery numbers, choose any 7 numbers (types of sports) you like. For example: No. 4 (boxing), No. 11 (volleyball), No. 21 (swimming), No. 33 (football)), No. 37 (acrobatics), No. 40 (small towns) and No. 45 (checkers). And substitute their numbers instead of the system numbers:

1. — 4, 11, 21, 33, 37, 40
2. — 4, 11, 21, 33, 37, 45
3. — 4, 11, 21, 33, 40, 45
4. — 4, 11, 21, 37, 40, 45
5. — 4, 11, 33, 37, 40, 45
6. — 4, 21, 33, 37, 40, 45
7. — 11, 21, 33, 37, 40, 45

Now we check: any 6 numbers from among the selected 7 numbers (types of sports) are necessarily included among the system combinations.

The advantage of the system is that if you guess 6 numbers, you can win not only for these 6 numbers, but also six wins for 5 numbers. Consequently, not one, but several lottery tickets win at once.

The system “7 numbers - 7 combinations” given in the example is called complete system, since it contains all possible combinations with the given seven numbers and provides the highest performance - sixes with six numbers guessed. A feature of complete systems is that the winnings of each winning group are precisely determined and calculated using the appropriate formulas.

In addition to complete systems, there are also incomplete or reduced systems. They are based on the principle of the possibility of winning in the lower winning groups (for 3 and 4 numbers) when guessing a certain number of numbers (types of sports), they are more economical and require a smaller number of combinations.

For example, the incomplete system “7 numbers (types of sports) - 5 combinations” for the lottery “6 out of 45″, gives winnings for 4 guessed numbers, but no longer gives winnings for 6 numbers, like the complete system “7 numbers (types of sports) - 7 combinations":

1. — 1, 2, 3, 4, 6, 7
2. — 1, 2, 3, 5, 6, 7
3. — 1, 2, 4, 5, 6, 7
4. — 1, 3, 4, 5, 6, 7
5. — 2, 3, 4, 5, 6, 7

There are a large number of incomplete systems in all types of lotteries. It is advisable to use them when individually participating in the lottery, since they make it possible to combine a large number of numbers with a small number of combinations.

A type of incomplete systems are hard number systems. They are made up of a certain number of hard (permanent) numbers. Typically, for such systems, 1, 2 or 3 permanent numbers are taken, since with a larger content of permanent numbers, the efficiency of the system decreases.

For example: the system “7 numbers (sports) - 4 combinations” with three constant (hard) numbers looks like this:

1. — 1, 2, 3, 4, 5, 6
2. — 1, 2, 3, 4, 5, 7
3. — 1, 2, 3, 4, 6, 7
4. — 1, 2, 3, 5, 6, 7

Lottery "6 out of 45"

7 numbers (sports) – 5 combinations(incomplete system)

1. — 1, 2, 3, 4, 6, 7
2. — 1, 2, 3, 5, 6, 7
3. — 1, 2, 4, 5, 6, 7
4. — 1, 3, 4, 5, 6, 7

with 6 numbers guessed - 1 six and 4 fives. Or 5 fives.
with 5 guessed numbers - 2 fives and 3 fours; or - 1 five and 4 fours; or 5 fours
with 4 guessed numbers - 3 fours and 2 threes; or - 2 fours and 3 threes; or - 1 four and 4 threes.
with 3 guessed numbers - from 2 to 4 triples

This system requires the purchase of 3 Sportloto tickets with a total cost of 1 ruble 80 kopecks

7 numbers (sports) - 7 combinations(full system)

1. — 1, 2, 3, 4, 5, 6
2. — 1, 2, 3, 4, 5, 7
3. — 1, 2, 3, 4, 6, 7
4. — 1, 2, 3, 5, 6, 7
5. — 1, 2, 4, 5, 6, 7
6. — 1, 3, 4, 5, 6, 7
7. — 2, 3, 4, 5, 6, 7

The possible winnings in this system are:
with 6 numbers guessed - 1 six and 6 fives.
with 5 numbers guessed - 2 fives and 5 fours
with 4 numbers guessed - 3 fours and 4 threes.
with 3 correct numbers - 4 triples

This system requires the purchase of 4 Sportloto tickets with a total cost of 2 rubles 40 kopecks

8 numbers (sports) - 12 combinations(incomplete system)

1. — 1, 2, 3, 4, 5, 8
2. — 1, 2, 3, 4, 6, 7
3. — 1, 2, 3, 5, 6, 7
4. — 1, 2, 3, 6, 7, 8

5. — 1, 2, 4, 5, 6, 7
6. — 1, 2, 4, 6, 7, 8
7. — 1, 2, 5, 6, 7, 8
8. — 1, 3, 4, 5, 6, 8

9. — 1, 3, 4, 5, 7, 8
10. — 2, 3, 4, 5, 6, 8
11. — 2, 3, 4, 5, 7, 8
12. — 3, 4, 5, 6, 7, 8

The possible winnings in this system are:
with 6 guessed numbers - 1 six and 4 fives and 7 fours; or - 6 fives and 6 fours
with 5 numbers guessed - 3 fives, 3 fours and 6 threes; or - 1 five, 7 fours and 4 threes
with 4 guessed numbers - 6 fours; or - 3 fours and 6 threes; or 2 fours and 8 threes
with 3 guessed numbers - from 4 to 6 triples

This system requires the purchase of 6 Sportloto tickets with a total cost of 3 rubles 60 kopecks

8 numbers (sports) - 28 combinations(full system)

1. — 1, 2, 3, 4, 5, 6
2. — 1, 2, 3, 4, 5, 7
3. — 1, 2, 3, 4, 5, 8
4. — 1, 2, 3, 4, 6, 7
5. — 1, 2, 3, 4, 6, 8
6. — 1, 2, 3, 4, 7, 8
7. — 1, 2, 3, 5, 6, 7
8. — 1, 2, 3, 5, 6, 8
9. — 1, 2, 3, 5, 7, 8
10. — 1, 2, 3, 6, 7, 8

11. — 1, 2, 4, 5, 6, 7
12. — 1, 2, 4, 5, 6, 8
13. — 1, 2, 4, 5, 7, 8
14. — 1, 2, 4, 6, 7, 8
15. — 1, 2, 5, 6, 7, 8
16. — 1, 3, 4, 5, 6, 7
17. — 1, 3, 4, 5, 6, 8
18. — 1, 3, 4, 5, 7, 8
19. — 1, 3, 4, 6, 7, 8
20. — 1, 3, 5, 6, 7, 8

21. — 1, 4, 5, 6, 7, 8
22. — 2, 3, 4, 5, 6, 7
23. — 2, 3, 4, 5, 6, 8
24. — 2, 3, 4, 5, 7, 8
25. — 2, 3, 4, 6, 7, 8
26. — 2, 3, 5, 6, 7, 8
27. — 2, 4, 5, 6, 7, 8
28. — 3, 4, 5, 6, 7, 821. — 2, 3, 4, 5, 6, 7
22. — 2, 3, 4, 5, 6, 8
23. — 2, 3, 4, 5, 6, 9
24. — 2, 4, 5, 7, 8, 9
25. — 2, 4, 6, 7, 8, 9
26. — 2, 5, 6, 7, 8, 9
27. — 3, 4, 5, 7, 8, 9
28. — 3, 4, 6, 7, 8, 9
29. — 3, 5, 6, 7, 8, 9
30. — 4, 5, 6, 7, 8, 9

The possible winnings in this system are:
with 6 numbers guessed - 1 six, 9 fives, 9 fours, and 11 threes;
or 1 six, 5 fives, 17 fours, and 7 threes
or 8 fives, 14 fours and 8 threes
or 6 fives, 18 fours and 6 threes

with 5 numbers guessed - 4 fives, 6 fours and 16 threes
or 2 fives, 10 fours and 14 threes
or 1 five, 15 fours and 7 threes
or 1 five, 11 fours and 15 threes

with 4 numbers guessed - 7 fours and 7 threes
or 4 fours and 16 threes
or 4 fours and 14 threes
or 3 fours and 15 threes

with 3 numbers guessed - 6, 7, 8 or 11 triples

This system requires the purchase of 15 Sportloto tickets with a total cost of 9 rubles 00 kopecks

Everything about lottery systems with descriptions and examples. Is it worth using lottery systems, what advantages do they provide? Using a special program you can create your own lottery system.

In fact, the lottery system is not a way of choosing winning numbers, but a strategy by which one can increase the chances of winning.

All number lotteries are essentially risk-based games. Naturally, the main role both in the case when lottery machines are used to select a winning combination, and when another method is used, is pure chance (well, of course, if we mean that the lottery organizer is honest - sometimes it happens the other way around). Therefore, naturally, you can win without any system. As practice shows, sometimes huge jackpots are won by people who bought a ticket by chance, and even for the first time in their life. You can check out stories of the biggest lottery wins .

So, why is playing the lottery with a lottery system better than without it? As you can read in the article the probability of winning in lotteries, to win the lottery using the 5 out of 36 formula you need to fill out 376 thousand 992 combinations. For lotteries using the 6 out of 49 formula, the number of options will already be 13 million 983 thousand 816. It is clear that it is almost impossible for one player, or even a group of players, to buy out the entire circulation of tickets. (However, there is a story that back in Soviet times, a group of enterprising citizens once bought all the tickets of a lottery held at the stadium during a football match. And in the end they remained in the black, considering that they received a car, several televisions, refrigerators and other valuable prizes But, naturally, in this case we are talking about a local lottery, where the total number of tickets did not exceed ten thousand).

Playing according to the lottery system allows you to cover a certain number of combinations made up of the numbers you choose. Of course, the more numbers the system is built on, the greater the chance of winning. Plus, in addition to the main prize, the total winnings will increase due to winnings from other categories. Obviously, the systems can be used in any numerical lotteries - both in standard formulas 5 out of 36, 6 out of 45, and so on, and in lotteries like Euromillions or Megamillions, where there are additional balls. In this case, in addition to the combinations of the main game numbers, there are additional ones.

Description of complete and incomplete lottery systems

Consider the following example:

The lottery is played according to the formula 6 out of 45. Let's assume that you have chosen 7 numbers. Let it be numbers 10,11,12,13,14,15,16 . Of these, you can make seven combinations:

That is, if you choose any numbers, then simply substitute them into such a table. For example, 8, 16, 22, 33, 37, 45, 46. Then the combination table will look like this:

It is clear that if we guess 6 numbers, then in addition to the jackpot, the total amount will include six more wins for five numbers guessed, six for 4 guessed numbers. That is, if you are lucky, six out of seven tickets will be winning.

As you can see, seven combinations were created for seven numbers. This is the so-called complete lottery system. It contains any possible combination of seven numbers. And, if you are lucky, such a lottery system will provide maximum benefits. But, naturally, the cost of purchasing lottery tickets also increases.

Exist and incomplete (reduced) lottery systems. It also provides the opportunity for additional winnings in lower categories. That is, for a lottery using the 6 out of 45 formula, we are talking about guessing 5, 4 and 3 numbers out of 6. They are an economical solution when playing using systems. As in the previous example, we will select 7 numbers - 10,11,12,13,14,15,16 . However, we will now choose only 5 combinations:

It is clear that there are many variations of incomplete lottery systems.

We will separately describe the systems with constant (so-called hard) numbers. In fact, we simply choose 2 or 3 constant numbers, and in each combination we use them along with any other numbers. For example, we want to use the numbers 10,11,12. Then we will make the following bet:

Using the program on our website, which We created for your convenience, you can create schemes for almost any lottery.

Also, on some sites that allow you to purchase lottery tickets online - for example tipp24.es and tipp24ru.com, as well as on the Gosloto website, you can play using systems in automatic mode. About intermediary companies that allow Russians to play foreign lotteries, read the article online lotteries.

Program

Magic squares

The original and even somewhat exotic system of playing the lottery consists of using so-called magic squares. For example, let's take magic squares on a 6x6 field. This square is suitable for the lottery according to the formula 6 out of 36. Essentially, the method of using magic squares is based on the same principle as the game according to the normal distribution of amounts, described in the article lottery strategies.

So, a magic square of the nth order is a table of size n * n, in which the numbers 1 to n 2 are written so that if you add the numbers along the columns, rows, and diagonals, the sum will be the same.

For example, a 3rd order square:

As you can see, all amounts here are equal to 15.

And here is a 6th order square:

The formula for calculating this amount looks like this:

For a magic square of the 6th order, the sum (S) is 111. In the above square, all sums are also equal to 111. The sum of all numbers in the square is 666. It is calculated by the formula:

Magic squares became famous in ancient times. And they were often used, including for religious purposes. For example, they can be seen on the walls of the world famous Temple of the Holy Family (Temple Expiatori de la Sagrada Familia) in Barcelona. The architect Atonio Gaudi used squares, all of which add up to 33 (He meant the age of Christ).

It is believed that, for example, there are several million magic squares of the 6th order.

How to create a lottery system based on magic squares?

If we take any column of a square, turn it over so that it becomes a row and exclude any number from it, we get a system of m = n +1 options with the sums of numbers in each option being within the following limits:

those.

Inequality (4) was obtained by assuming that the rotated column contained both the number 36 and one. If we construct the inequality of the sums of numbers Σ in game options with a confidence probability β based on the available statistical data: mathematical expectation M (X) = 92.885 and standard deviation σ (X) = 23.331 after the lottery draw according to the formula 5 out of 36 (taken from the real lottery draw ), it turns out that the combinations of our system correspond to the statistical model:

Where

With ε = σ (X), Φ (1) = 0.84, and β = 0.68 we obtain:

We applied formulas No. 5 and 7, taking into account the central limit theorem, according to which for Σ will correspond to normal distribution .

As a result, we have a lottery system for 5 out of 35 (the number 36, alas, does not participate) numbers, which provides 7 combinations. The system will not work if the number 36 is rolled out or all 5 numbers fall on different lines of the square

As an example, let's take a 6th order magic square.

These are the combinations we got:

The first lotteries appeared many years ago. And during this time, many different schemes, as well as game systems, have been developed, the use of which will allow you to obtain maximum results. When making some efforts to become the owner of an impressive lottery win, you should use existing systems. Their wide variety will certainly allow you to achieve excellent results.

Does it make sense to play according to the system?

It is worth noting that there is no specific scheme that would ensure a 100% win. This is due to the fact that in the modern world new lotteries appear almost every day. Moreover, each of them has its own characteristics that make it unique and original. That is why we can say with complete confidence that a universal scheme for playing the lottery not only does not exist today, but is also unlikely to appear in the future.

Complete systems and their features

The main feature of complete systems is that they are redundant. Accordingly, their constant use in practice is not always beneficial.

But we can also consider a situation in which it is the complete system that will allow you to become the owner of the winnings. Let’s say that in the process of participating in the “6 out of 45” lottery, a particular person’s choice fell on certain 10 numbers, among which there are guaranteed to be 6 numbers that can bring victory.

It is very important to remember that a complete lottery system will be most relevant when there are significant amounts of money at stake. Otherwise, the probability of becoming the owner of a large fortune due to guessing 5 or 4 numbers is extremely low.

This means that this kind of system is losing its relevance.

So let's get back to what the complete system is. Its essence is to select all possible combinations that can be made from a specific number of pre-selected numbers.

In order to calculate the number of available combinations, you can use Newton's binomial. True, after making all the calculations, it will be possible to find out that the number of possible solutions is extremely large. Accordingly, playing the full system will be associated with huge material costs.

The essence of incomplete systems

It was in order to save the money needed to purchase lottery tickets that specialists created an impressive number of incomplete systems. They allow you to significantly increase the chance of getting a decent result, while ensuring minimal redundancy. This approach can justify itself even in a situation with lotteries, the jackpot of which is relatively small.

The principle of the incomplete system is based on the fact that it allows the player to become the owner of various winnings, except for the largest one. But to do this, you must ensure that all winning numbers are available in the system.

Using the above-mentioned Newton binomial, it will be possible to find out that the number of suitable combinations for the 46/6 system is 8,145,060, but for the 20/3 system - only 1,140. Accordingly, the necessary combination will be discovered provided that the “three” of the 20/ system 30 will be in the “six” of the 46/6 system. There is a high probability that some of the resulting combinations will coincide. They will need to be excluded from the list by optimizing it.

To cope with the implementation of all these calculations on your own, you will need to make enormous efforts. It is quite easy to avoid such inconveniences today. It is enough to use special programs that carry out even very complex calculations efficiently and quickly. At the same time, you don’t have to worry about errors, which are extremely difficult to avoid in the case of manual data processing.

The basis of an incomplete system is probability theory

In order to become the owner of a win, it is very important to observe the principle of regularity. This indicates the need to constantly purchase lottery tickets, if not for all, then for many draws.

At the same time, we should not forget about the crucial role of chance. After all, if you analyze the dropped combinations over a long period of time, you can conclude that there is no ordered sequence.

With a systematic approach to purchasing tickets, the chances of getting a tidy sum increase significantly. Of course, there have been cases in history when a person who took part in the drawing for the first time managed to hit the jackpot. However, they are an exception to the rule. A person who buys lottery tickets not only regularly, but also in quantities of several pieces, has a much greater chance of improving their financial situation.

Main advantages of incomplete systems

Answering the question as to why exactly incomplete systems are needed, it should be noted that any accurate calculations significantly increase the chance of winning. A person who is serious about participating in the drawing is more likely to become the owner of a large sum of money than someone who does everything at random.

If 6 winning numbers are included in the selected 20, then the prize for the “three” will be guaranteed. And even if you managed to guess 5 numbers, the chance remains quite decent and is 80%.

In addition, we must not forget that incomplete systems do not require too large material investments, like complete systems. Accordingly, this method of playing will be available to almost everyone. And the wide variety of existing options guarantees that for any player there is a lottery system that fully meets all his individual preferences.

A good example

To understand in more detail how exactly these systems work, you can consider an available example. One of the simplest solutions was chosen for it, suitable for the “6 out of N” lottery and guaranteeing a “two”, provided that a pair of numbers were guessed.

System “7 numbers – 3 options”

Initially, you need to select seven numbers and substitute them in certain places. In a situation with such a series 1=>3, 2=>7, 3=>11, 4=>29, 5=>33, 6=>40, 7=>43, the result will look like this:

The proposed system guarantees good results. For example, if you correctly guess only 4 numbers, you will be able to win for three “threes” at once, or from one to three “fours” and up to two more “threes”.

Playing according to the system: features and principles

People who organize lotteries take this issue very seriously and pay special attention to all kinds of calculations. Experts have found that in order to be guaranteed to guess a combination of 6 numbers, you need to purchase about 8 million lottery tickets.

But in this case, even a very rich person is unlikely to agree to this kind of proposal.

• Therefore, it is best to simply follow certain rules of the system that will help you achieve better results with minimal effort:
• if you have purchased a few tickets, you should try to fill out the maximum number of combinations, giving preference to different groups of numbers;

You should not settle on one standard scheme, since it is best to use completely different combinations each time.

Competent game using the system

When purchasing lottery tickets, it is very important to immediately tune in to a positive wave. A good mood will allow you to get maximum pleasure from the process and enjoy the anticipation of winning.

As a clearer example, consider using this scheme using random seven numbers. For example, a participant in the drawing chooses the numbers 45, 40, 37, 33, 21, 11, 4. In this case, the finished combinations will look like this:

Provided you choose the right numbers, such a scheme will allow you to become the owner of two to six winning tickets. The creators of this scheme classify it as a complete system.

If we consider incomplete options, then they include a solution involving the use of seven numbers in five combinations:

This approach does not guarantee winnings from the correct 6 numbers. However, with the right choice of numbers, it allows you to become the owner of a tidy sum for guessing 4 numbers. And this is also very good.

Another popular solution is a permanent system. It involves long-term use of selected lucky numbers. As an example, we can consider this version of four combinations of seven constant numbers: