Lotto system for 4 numbers out of 30. “Universal System” of Guessing Lottery Numbers

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 lotteries 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 equal to 111. In the above square, all sums are also equal to 111. The sum of all numbers of 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:

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 ordinal (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"

“Universal System”

Guessing Lottery Numbers

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 numbers across the entire 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.

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

To be sure to guess 6 numbers in the lottery “6 out of 45″, “6 out of 49″ and 5 numbers in the lottery “5 out of 36″, “5 out of 40″ you need to fill out 8,145,060, 13,983,816 and 376,992, respectively, 658,008 combinations, which is almost impossible to do for one lottery participant, or for the whole 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.

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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”, “6 out of 49” lotteries.

7 numbers in this system are arranged in 7 combinations so that none of them is repeated:

1 combination - 1, 2, 3, 4, 5, 6
2 combination.-1, 2, 3, 4, 5, 7
3 combination - 1, 2, 3, 4, 6, 7
4 combination - 1, 2, 3, 5, 6, 7
5 combination - 1, 2, 4, 5, 6, 7
6 combination - 1, 3, 4, 5, 6, 7
7 combination - 2, 3, 4, 5, 6, 7

From 45 (49) lottery numbers, choose any 7 numbers you like

For example: No. 4, No. 11, No. 21, No. 33, No. 37, No. 40 and No. 45. And substitute their numbers instead of the system numbers:

4, 11, 21, 33, 37, 40
4, 11, 21, 33, 37, 45
4, 11, 21, 33, 40, 45
4, 11, 21, 37, 40, 45
4, 11, 33, 37, 40, 45
4, 21, 33, 37, 40, 45
11, 21, 33, 37, 40, 45

Now let's check: any 6 numbers from numbers the selected 7 numbers 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 a 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 compiled on the principle of the possibility of winnings in the lower winning groups (for 3 and 4 numbers for lotteries with a numerical formula of 5 numbers out of n; for 4 and 5 numbers for lotteries with a numerical formula 6 numbers out of n) when guessing a certain number of numbers, and therefore are more economical and require less numbers combinations.

For example, the incomplete system “7 numbers - 5 combinations” for the lottery “6 out of 45″, “6 out of 49″ gives winnings for 4 guessed numbers, but no longer guarantees winnings for 6 numbers, like the complete system “7 numbers - 7 combinations” :

1 combination – 1, 2, 3, 4, 6, 7
2 combination – 1, 2, 3, 5, 6, 7
3 combination - 1, 2, 4, 5, 6, 7
4 combination – 1, 3, 4, 5, 6, 7
5 combination – 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 systems with hard (constant) numbers. 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 “7 numbers - 4 combinations” system with three constant (hard) numbers looks like this:

1 combination - 1, 2, 3, 4, 5, 6
2 combination - 1, 2, 3, 4, 5, 7
3 combination - 1, 2, 3, 4, 6, 7
4 combination - 1, 2, 3, 5, 6, 7

1. “4+1” system.

Four numbers are crossed out equally in all combinations of the system. The role of the fifth number is alternately played by the remaining thirty-two numbers.

There are 32 combinations in the complete system.

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

Full system features:

a) if the constant, basic part guesses 2 numbers, the winnings will be: 3 triples;

b) if the constant, basic part guesses 3 numbers, the winnings will be: 2 fours and 30 threes;

c) if the constant, basic part guesses 4 numbers, the winnings will be: 1 five and 31 fours.

2. “3+2” system.

Three numbers are selected and crossed out equally in all combinations. The remaining two numbers change in combinations. To do this, a complete system of pairs is compiled from the remaining 33 numbers.

There are 528 combinations in the complete system.

1. 1, 2, 3, 4, 5

2. 1, 2, 3,4, 6

3. - – - – –

4. - – - – –

527. 1, 2, 3, 34, 36

528. 1, 2, 3, 35, 36

Full system features:

a) if 1 number is guessed with the constant, basic part, the winnings will be: 6 triplets;

b) if the constant, basic part guesses 2 numbers, the winnings will be: 3 fours and 90 threes;

c) if the constant, basic part guesses 3 numbers, the winnings will be: 1 five, 62 fours and 465 threes.

An incomplete system of seventeen combinations makes it possible to use all the additional thirty-three numbers.

To create pairs of numbers, you can use the “Statistics of pairwise number drops” (the most frequently played pairs), where each number corresponds to a pair of numbers.

3. “8+X” system.

The basic part of the system consists of eight permanent numbers. The additional variable number "X" within one single system is also a constant number.

It is assumed that several such systems will be used in one circulation, differing only in the “X” number.

In one system, two winning options are possible.

Option I. The winning numbers are completely included in the eight base numbers. The system will provide:

If 3 numbers are guessed - 1 triple;

With 4 guessed numbers - 4 threes or 1 four;

With 5 numbers guessed - 1 four and 6 threes.

Option II. One of the winning numbers is an additional one, and the rest are part of the eight basic numbers. The system will provide:

With 3 correctly guessed numbers - 3 triplets;

With 4 numbers guessed - 1 four and 6 threes;

With 5 numbers guessed - 4 fours and 6 threes or 1 five and 12 threes.

– 1, 2, 3, 7, X
– 1, 2, 4, 6, X
– 1, 2, 5, 8, X
– 1, 3, 4, 8, X
– 1, 3, 5, 6, X
– 1, 4, 5, 7, X
– 1, 6, 7, 8, X
– 2, 3, 4, 5, X
– 2, 3, 6, 8, X
– 2, 4, 7, 8, X
– 2, 5, 6, 7, X
– 3, 4, 6, 7, X
– 3, 5, 7, 8, X
– 4, 5, 6, 8, X

This system is ideal for playing with increasing bets.

A full bet equal to twenty-eight systems gives winnings:

with two numbers guessed by the base part - 9 triplets;

with three - 2 fours and 38 threes;

with four - from 4 fours and 114 threes to 1 five, 27 fours, and 12 threes;

with five numbers guessed by the base part - 28 fours and 168 threes.

The option of playing with the “8+X” system is allowed, where “X” are arbitrary numbers in all combinations.
SYSTEMS FOR LOTTERY “6 numbers out of N”

1. “5+1” system.

Five numbers are crossed out equally in all combinations of the system. The role of the sixth number is alternately played by the remaining forty numbers.

There are 40 combinations in the complete system.

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

Full system features:

a) if the constant part guesses 3 numbers: 3 fours and 37 threes;

b) if the constant part guesses 4 numbers: 2 fives and 38 fours;

c) if the constant part guesses 5 numbers: 1 six and 39 fives

2. “4+2” system.

Four numbers are selected, which are crossed out equally in all combinations of the system. The remaining two numbers change in combinations. To do this, a complete system of pairs is compiled from the remaining 41 numbers.

There are 820 combinations in the complete system.

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

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

3. - – - – –

4. - – - – –

819. 1, 2, 3, 4, 43, 45

820. 1, 2, 3, 4, 44, 45

Full system features:

a) if the constant part guesses 2 numbers, guesses: 6 fours;

b) if the constant part guesses 3 numbers, guesses: 3 fives and 114 fours;

c) if the constant part guesses 4 numbers, guesses: 1 six, 78 fives and 741 fours.

Total: the system allows you to receive one or another win in 44.98% of cases.

3. System “8+X+U”.

The basic part of the system consists of eight permanent numbers. Variable numbers “X” and “Y” within one particular system are also permanent numbers.

It is assumed that several such systems will be used in one circulation, differing only in the numbers “X” and “Y”.

In one system, three winning options are possible.

Option I. The winning numbers were completely included in the eight base numbers. The system provides:

If 4 numbers are guessed - 1 four or no win;

With 5 guessed numbers - 1 four;

With 6 guessed numbers - 3 fours.

Option II. One of the winning numbers is among the additional ones, and the rest are included in the base numbers. The system provides:

With 4 guessed numbers - 1 four;

With 5 guessed numbers - 4 fours or 1 five;

With 6 numbers guessed - 1 five and 6 fours.

Option III. The two winning numbers are additional numbers, and the rest are part of the base numbers. The system provides:

With 4 guessed numbers - 3 fours;

With 5 numbers guessed - 1 five, 6 fours;

With 6 numbers guessed - 4 fives and 6 fours or 1 six and 12 fours.

– 1, 2, 3, 7, X, Y
– 1, 2, 4, 6, X, Y
– 1, 2, 5, 8, X, U
– 1, 3, 4, 8, X, U
– 1, 3, 5, 6, X, Y
– 1, 4, 5, 7, X, U
– 1, 6, 7, 8, X, U
– 2, 3, 4, 5, X, Y
– 2, 3, 6, 8, X, U
– 2, 4, 7, 8, X, U
– 2, 5, 6, 7, X, Y
– 3, 4, 6, 7, X, Y
– 3, 5, 7, 8, X, U
– 4, 5, 6, 8, X, U

This system is ideal for playing with increasing bets. Full bet in “6 out of 45” (Gosloto, etc.); is equal to 666, in “6 out of 49″ - 820, and in “6 out of 56″ - 1176 systems.

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