Gosloto digital systems. System game - everything ingenious is simple

Hello!

My name is Ivan Melnikov! I am a graduate of the National Technical University “KhPI”, Faculty of Engineering and Physics, specialty “Applied Mathematics”, a happy family man and just a fan of games of chance. Since childhood, I have been interested in lotteries. I have always wondered by what laws certain balls fall out. Since I was 10 years old, I have been recording lottery results and then analyzing the data.

Sincerely,

Ivan Melnikov.

1. Mathematical odds of winning

   • Simple calculation with factorials

The most common lotteries in the world are games of luck such as “5 out of 36” and “6 out of 45”. Let's calculate the chance of winning the lottery using probability theory.

An example of calculating the possibility of receiving a jackpot in the “5 out of 36” lottery:

It is necessary to divide the number of free cells by the number of possible combinations. That is, the first digit can be selected from 36, the second from 35, the third from 34, and so on.

Therefore, here is the formula:

Number of possible combinations in a “5 out of 36” lottery = (36*35*34*33*32) / (1*2*3*4*5) = 376,992

The chance of winning is 1 in almost 400,000.

Let's do the same for a lottery like 6 in 45.

Number of possible combinations = “6 out of 45” = (45*44*43*42*41*40) / (1*2*3*4*5*6) = 9,774,072.

Accordingly, the chance of winning is almost 1 in 10 million.

• A little about probability theory

According to a long-known theory, each ball in each subsequent search has an absolutely equal chance of falling out compared to the others.

But not everything is so simple, even according to probability theory. Let's take a closer look at the example of tossing a coin. The first time we got heads, then the next time the probability of getting tails is much higher. If heads come up again, then next time we expect tails with even greater probability.

With the balls coming out of the lottery machines, it's about the same story, but a little more complicated and with a more significant number of variables. If one ball is drawn 3 times and the other is drawn 10 times, then the probability of the first ball being drawn will be higher than that of the second. It is worth noting that this law is diligently violated by the organizers of some lotteries, which change lottery machines from time to time. A new sequence appears in each new lottery machine.

Some organizers also use a separate lottery machine for each ball. Thus, it is necessary to calculate the probability of each ball falling out in each individual lottery machine. On the one hand, this makes the task a little easier, on the other hand, it complicates it.

But this is just a theory of probability, which, as it turns out, doesn’t really work. Let's see what secrets there are, based on dry science and statistical data accumulated over decades.

1. Why doesn't probability theory work?

   • Less than ideal conditions

The first thing worth talking about is the calibration of lottery machines. None of the lottery machines are perfectly calibrated.

The second caveat is that the diameters of lottery balls are also not the same. Even differences of the slightest fraction of millimeters play a role in the frequency of a particular ball falling out.

The third detail is the different weight of the balls. Again, the difference may not seem significant at all, but it also affects the statistics, and significantly.

• Sum of winning numbers

If we look at the statistics of winning numbers in a “6 out of 45” lottery, we will notice an interesting fact: the sum of the numbers that players bet on ranges between 126 and 167.

The sum of the winning lottery numbers for “5 out of 36” is a slightly different story. Here the winning numbers add up to 83-106.

• Even or odd?

What numbers do you think are most often found on winning tickets? Even? Odd? I can tell you with complete confidence that in the “6 out of 45” lotteries these numbers are equally divided.

But what about “5 out of 36”? After all, you need to choose only 5 balls; there cannot be an equal number of even and odd balls. So here it is. Having analyzed the results of lotteries of this type over the last four decades, I can say that slightly, but still more often, odd numbers appear in winning combinations. Especially those that contain the number 6 or 9. For example, 19, 29, 39, 69 and so on.

• Popular groups of numbers

For a lottery of the “6 to 45” type, we conditionally divide the numbers into 2 groups - from 1 to 22 and from 23 to 45. It should be noted that in winning tickets the ratio of numbers belonging to the group is 2 to 4. That is, either the ticket will contain 2 numbers from the group from 1 to 22 and 4 numbers from the group from 23 to 45 or vice versa (4 numbers from the first group and 2 from the second).

I came to a similar conclusion when analyzing the statistics of lotteries like “5 out of 36”. Only in this case the groups are split up a little differently. Let's designate the first group that includes the numbers from 1 to 17, and the second the one that contains the remaining numbers from 18 to 35. The ratio of numbers from the first group to the second in winning combinations in 48% of cases is 3 to 2, and in 52 % of cases – on the contrary, 2 to 3.

• Is it worth betting on numbers from past draws?

It has been proven that in 86% of cases, a new drawing repeats a number that has already appeared in previous drawings. Therefore, you just need to follow the draws of the lottery you are interested in.

• Consecutive numbers. To choose or not to choose?

The chance that 3 consecutive numbers will appear at once is very low, less than 0.09%. And if you want to bet on 5 or 6 consecutive numbers at once, there is practically no chance. Therefore, choose different numbers.

• Numbers with a single step: win or lose?

You should not bet on numbers that appear in the same sequence. For example, you definitely don’t need to choose step 2 and place a bet with this step. 10, 13, 16, 19, 22 are definitely a losing combination.

• More than one ticket: yes or no?

It’s better to play once every 10 weeks with 10 tickets than once a week with one. And also play in groups. You can win a big cash prize and split it between several people.

1. World lottery statistics

   • Mega millions

One of the most popular lotteries in the world was carried out according to the following principle: you need to choose 5 numbers out of 56, as well as 1 out of 46 for the so-called golden ball.

For 5 matched balls and 1 correctly named golden ball, the lucky winner receives the jackpot.

The remaining dependencies are shown in the table:

Statistics of dropped regular balls for the entire duration of the above lottery draws.

Statistics of golden balls drawn throughout the Mega Millions drawings.

The most frequently drawn combinations in the lottery are shown in the table below:

• Powerball lottery where more than a dozen lucky people have managed to hit the jackpot. You must select 7 main game numbers and two Powerballs.

1. Winners' stories

   • Lucky compatriots

Evgeny Sidorov from Moscow received 35 million in 2009, before that Nadezhda Mekhametzyanova from Ufa hit the jackpot of 30 million. “Russian Lotto” sent another 29.5 million to Omsk to the winner, who did not want to identify himself. In general, winning jackpots is a good habit of Russian people

• 390 million US dollars in one hand

In the lottery we already talked about, Mega Millions, a lucky winner who wished to remain anonymous won $390 million. And this is far from a rare case. In the same lottery in 2011, two people managed to hit the jackpot, which at that time consisted of an amount of 380 million. The cash prize was divided into two parts and awarded to people who guessed the winning numbers.

A pensioner from South Carolina decided to participate in the Powerball lottery and won 260 million, which he decided to spend on the education of his children, and also bought a house, several cars for the family, and then went traveling.

1. conclusions

So, here is a summary of the most effective rules, following which you are sure to win:

1. The sum of all the numbers you bet on on a lottery ticket must be calculated using the following formula:

Amount = ((1 + n)/2)*z + 2 +/- 12%

n – maximum bet number, for example, 36 in a “5 out of 36” lottery

z – the number of balls you bet on, for example 5 for the “5 out of 36” lottery

That is, for “5 out of 36” the amount will be like this:

((1+36)/2)*5 + 2 +/-12% = 18,5*5+2 +/-12% = 94,5 +/-12%

In this case, from 94.5 + 12% to 94.5 – 12%, that is, from 83 to 106.

1. Bet equally on even and odd numbers.
2. Divide all the numbers into two large groups in half. The ratio of the number of numbers on a winning ticket is 1 to 2 or 2 to 1.
3. Follow the statistics and bet on the numbers that came out in previous draws.
4. Don't bet on numbers with one step.
5. It’s better to play less often, but buy several tickets at once, and also get together with friends and relatives.

In general, be brave! Follow my rules, place bets, analyze statistics and win!

It is logical to assume that it is not possible to play the lottery using a certain system. This fact is easy to explain. The lottery, as one of the games of chance, amazes with its quantity and variety. It’s not just that every year, almost every month, a new lottery is registered. Lotteries appear like mushrooms after rain. In such a situation, we can confidently say that there is no unambiguous system for playing the lottery now, and it is not expected in the future. Everything is decided by the will of the player and His Majesty Chance.

Probability theory as the basis of an incomplete system

When playing the lottery, you must observe the frequency. To be among the lucky ones, you need to buy a lottery ticket regularly. In playing the lottery, chance plays a big role, which underlies the theory of probability. Once you start playing the lottery, you constantly monitor the draws and analyze them. You can easily conclude that winnings most often do not obey the laws, which is not denied by the incomplete lottery system.

The chances of winning with a systematic approach increase significantly. Of course, there have been cases when a person, having bought one ticket, wins a good cash prize. But this is an exception to the rule, a tempting case that attracts more and more new players to play the lottery. When you buy several tickets and play often, you increase your chances of winning.

The principle of playing the lottery according to the system

Experts and organizers of various lotteries, relying on the random principle, calculated that to win six numbers you need to buy and fill almost 8 million tickets. We understand your smile. The oligarch will not dare to make such dubious expenses.

Basic rule of the system:

Having purchased a small number of tickets, make the maximum number of combinations using different groups of numbers,

Always use different combinations, do not get hung up on the standard scheme, this increases your chances of significant winnings.

Playing the lottery correctly using the system

When you have decided to buy several tickets, tune in to the game. Smile. A good mood will help you tune in to the excitement and expectation of winning. It is known that the anticipation of a holiday often gives more joy than the holiday itself.

Before you start crossing out numbers, do a simple systems analysis.

Scheme 7 – 7 (used in the “6 out of 49” and “6 out of 45” lotteries). What does it mean? Various combinations are made, numbers are used in ascending order, from one to seven.

Combination one - 1; 2; 3; 4; 5; 6

Combination two - 2; 3; 4; 5; 6; 7

Combination three - 1; 3; 4; 5; 6; 7

Combination four - 1; 2; 4; 5; 6; 7

Combination five - 1; 2; 3; 5; 6; 7

Combination six - 1; 2; 3; 4; 6; 7

Combination seven - 1; 2; 3; 4; 5; 7

Let’s give an example to make it clearer to you what the system means:

You have chosen the seemingly winning numbers: 45, 40, 37, 33, 21, 11, 4. Next, you act according to the system and make logical combinations, namely:

Combination one - 45; 40; 37; 33; 21; eleven

Combination two - 40; 37; 33; 21; eleven; 4

Combination three - 45; 37; 33; 21; eleven; 4

Combination four - 45; 40; 33; 21; eleven; 4

Combination five - 45; 40; 37; 21; eleven; 4

Combination six - 45; 40; 37; 33; eleven; 4

Combination seven - 45; 40; 37; 33; 21; 4

By showing attention and diligence when studying, you will receive a wonderful result. After a simple analysis, you will understand that each combination involves six ticket numbers out of the selected seven numbers. It’s simple, when you guess six different numbers, then from two to five tickets win and become prize tickets, and the winnings increase accordingly. But that is not all! Good news! You become the owner of the winnings from the five drawn numbers. The developers and designers of this scheme call it complete system.

Calculating all the options, experts lottery games, indicated almost all options from the selected seven lottery ticket numbers.

Any game strives for a simplified scheme. Designed for your convenience incomplete lottery systems. They are more convenient and cheaper for the player.

For example, seven numbers are used in five combinations:

Combination one - 2; 3; 4; 5; 6; 7

Combination two - 1; 3; 4; 5; 6; 7

Combination three - 1; 2; 4; 5; 6; 7

Combination four - 1; 2; 3; 5; 6; 7

Combination five - 1; 2; 3; 4; 6; 7

Having followed the logical chain, you will notice that using fewer combinations, you indicate more numbers. The chances of winning six numbers are not 100 percent for you, but you will definitely win for four numbers. Just great. Agree, it makes sense to spend time studying the system.

Like any self-respecting player, you know your lucky numbers in the game. Be sure to use them. Such system is called constant. This means that each combination uses solid patterns.

For example, let's take seven numbers and make four options, the constants (the same numbers) will look like this:

Combination one - 1; 2; 3 ; 4; 5; 6

Combination two - 1; 2; 3 ; 4; 5; 7

Combination three - 1; 2; 3 ; 4; 6; 7

Combination four - 1; 2; 3 ; 5; 6; 7

You are thoughtful and persistent, ready to figure out any scheme. Your winnings will be well-deserved and will not take long to arrive.

Guest post by Yuri.

On August 30, 1949, a nuclear bomb was detonated near the city of Semipalatinsk. After which a bomb, a political one, also exploded on Capitol Hill. The US Senate and Congress agreed that without the help of leading American specialists, the creation of a nuclear bomb in the USSR would not have been possible. A commission to investigate anti-American activities was quickly formed with the broadest powers, headed by Senator McCarthy, and we must give him his due, he coped with the task brilliantly. He didn’t think long about how a scientist with a salary of $3,000 got a yacht worth 2 million. Within three months, a huge network of Soviet stations was exposed. The GRU (main intelligence directorate) and the KGB were faced with the difficult task of “laundering” the income of their agents. And these services coped with the task.
Digital lotteries were common in Europe and the USA at that time. They turned out to be an ideal cover for illegal income. With the help of academic mathematicians, a system for increasing bets when playing digital lotteries was developed, later called the “Monte Carlo system”, in honor of the place where it was tested, and discovered by the Franco-Italian mafia, which owned gambling establishments.

From a mathematical point of view, digital lotteries, such as Megalot, are not anything complicated. Almost everything you need for a successful game is easily calculated, which cannot be said about the distribution of the prize fund. The distribution of the prize fund in Megalot is forward, i.e. The bulk of the prize fund goes to the Jackpot. What makes an individual game in Megalot ineffective, while in lotteries like “Keno” with a normal distribution of the prize fund, on the contrary, the jackpot is never large and is completely incommensurate with the costs of winning it, but the game is “at low speeds” can bring tangible results.

The probability of getting a “double” combination in Megalot is 1/57, and from 6 numbers appearing in a draw, 15 “double” combinations can be constructed, for this reason one “double” combination is theoretically bound to appear within four draws. In practice, testing the lottery machine for objectivity is carried out in a cycle of eight draws. Each drawn draw is checked in four subsequent ones. In eight draws, with four checks each, there should be 5 doubles and one triple combination with slight variations. Practice convinces us that fraud with the lottery drum is unlikely, they only make sense when the Jackpot appears, and this phenomenon is extremely rare.

The mathematical model for winning the Jackpot is as follows. Here are three systems, each of which consists of 6 cards of 7 numbers

Theoretically, in each draw, a “triple” combination should appear in one of these systems; in practice, there will be as many “triple” combinations as there are draws. Those. There may be no drops for one or two runs, but then two or three “triples” drop out. The methods used by combinatorial mathematics make it possible to indicate with a certain accuracy in which particular “seven” a triple combination appears. As a win, it is not of interest, but do not rush to conclusions, in half the cases, in the other “seven” from the same system there will be 2 more balls. And in the remaining 28, naturally, the last sixth ball. Without going too deep into the calculations, I will say that at a cost of 160,000 UAH. the system provides a win of 1,500,000 UAH. Despite the seemingly large (1 in 10) increase, it is still small. It will take up to eight to nine attempts to win the Jackpot. The Megalot lottery has an unacceptably small (no more than 30-40%) prize fund and forward distribution. In states with elements of civilization, the prize fund is 80%, and only the winner pays tax. The “5 out of 36” lottery was very suitable for generating system income, with a normal distribution of the prize fund. Unfortunately, the publication of calculations in the open press led to its closure.

The "Selection" tab is intended for the final creation of game combinations according to a pre-installed guarantee system. In departments 1 and 2, groups of main and additional balls are selected. After this, by using the button 4 of them, game combinations of the correct length are formed. All created combinations go to the “Check” and “Selection for the game” tab, where they can later be viewed and other operations performed. Groups of balls of the required size can also be selected randomly using a special program function. To do this, using elements 5 and 7, you need to indicate the sizes of the selected groups of balls and confirm your choice with the “R” (Random) button.

In the “Check” tab, game combinations are checked for winnings. The main verification balls are introduced into department 1, and the additional or bonus verification balls into department 2. The result is displayed in the 3rd section. In addition to displaying the number of matched balls in each combination, at the end of the section a check result is generated with a detailed description of all categories of winnings. Combinations belonging to different winning categories differ from each other in display color.

The Game Qualification tab performs two extremely useful functions. Firstly, here it is possible to randomly select a smaller part from the set of combinations created according to the guaranteeing system. This operation allows you to significantly reduce the cost of playing while leaving at the same time a fairly high chance of catching prizes from major lottery categories. Secondly, a department for autonomous storage of game combinations is also implemented here, the presence of which provides the widest possibilities for the game strategies used. Namely, with its help, you can form combinations for one game using several systems and for several groups of balls, having in the future the opportunity to check them as a single array; without complexity, you can use a combined game (symbiosis of incomplete and complete systems); It is also possible to apply a random selection function for a given number of combinations to a single array at any time.

The "Analysis" tab is intended for analyzing the results of lottery draws with the aim of subsequently selecting the group of balls most likely to appear for the current game. The first thing you need to start with when working with a bookmark is to enter the statistical data of the conducted draws. This can be done in two ways: either import from a text file or enter manually. To enter and edit statistics, 1-6 program elements are used. Once all the data has been entered, you can proceed directly to the analysis. To analyze the behavior of a specific ball, you must select it in the “Ball Characteristics” section. After this action, the program will display a set of characteristics calculated for it. Namely, the frequency of occurrence, the forecast of its next appearance according to the theory of the mathematician Markov, the intervals between its adjacent occurrences, as well as the last draw in which it appeared. All these characteristics will allow you to objectively make a decision about whether the analyzed ball should be selected for the current game. Personalized analysis can be applied to both the main and additional lottery balls. The resulting balls are entered into the program memory through the 10th section.

Using the "Active Zones" tab, the program implements two unique methods for analyzing a statistical lottery sample - zonal level analysis and historical behavioral analysis. Using the data obtained using the special functions of this tab, promising balls for the game can be selected very clearly, relying purely on logical reasoning.

The "Settings" tab allows you to set active guarantee systems for each of the possible groups of lottery balls. Since for the same group, depending on the assigned tasks, there can be a lot of systems, it becomes necessary to choose only one for the current game. To make the settings, the required group is indicated in the “Ball Groups” section, then the appropriate one is selected from the list of systems and the selection is confirmed with button 4. The currently active system can be seen in section 2. In addition, the “Settings” tab has a very useful function for adding your own guarantee systems. Despite the initial presence of a large number of gaming systems in the program, sometimes there may be a need for some additional ones. This function completely solves this problem, allowing you to tailor Lotlord Professional to your needs as much as possible.

Lotteries of this type are held in many countries around the world, mainly according to the “3 out of 10” formula: in Ukraine - “Loto Troika”, in New Zealand - “Play 3”, in the USA - “Daily 3” (California), “Pick 3” "(Florida), "CA$H 3" (Georgia), etc. Typically, to win these lotteries you must match three numbers from 0 to 9, and depending on the type of game you choose, the sequence may be important. Therefore, we present here one complete system and several incomplete ones for clarity. After substituting the numbers, do not forget to reduce all numbers of the resulting system by 1. In addition, the systems published in this category can serve as the basis for systems with fixed numbers for playing lotto using the formulas 5 out of N, 6 out of N, etc.