5 out of 36 frequently repeated combinations. Secrets of luck or a step-by-step algorithm for winning the lottery

Many lottery fans are asking a very fair question, how to win the 5 out of 36 lottery. Before we try to answer these questions, you need to familiarize yourself with the rules and calculate the probability of winning the 5 out of 36 lottery.

The Gosloto 5 out of 36 lottery can be called a reasonable choice among all existing lotteries at the moment, since this lottery has the maximum chances of winning the main prize.

Of course, when talking about maximum odds, we must understand that this is a lottery and the chances of winning the main jackpot are not great.

Number of combinations in lottery 5 out of 36

It would be logical to move on to the facts and voice exact numbers. Number of lottery combinations 5 out of 36:

376992
three hundred seventy six nine hundred ninety two

and only one of them becomes winning.

We wrote above that players in 5 out of 36 act wisely - because compared to the Gosloto lottery 6 out of 45, here the chances of winning a super prize are almost 22 times greater!

Are you thinking about how to win a big prize in Gosloto - play 5 out of 36! Yes, this lottery does not accumulate a large jackpot, but the chances of winning are much greater.

Lottery odds 5 out of 36

All probabilities of matching the number of numbers drawn are given in the table below:

Matches Probability
0
1 1:3
2 1:9
3 1:82
4 1:2433
5 1:376992

How to calculate a winning combination 5 out of 36

Deployed system - in pursuit of 100% jackpot winnings

A 100% chance of winning the lottery will only be given by a comprehensive system, which will include all 36 numbers, that is, a bet on all possible combinations. However, it will not be possible or reasonable to make such a bet for several reasons:

1. Restrictions by rules. The number of selected numbers in an expanded bet, according to the lottery rules, does not exceed 11; it is impossible to place a bet in which all the numbers will be crossed out on one ticket.

2. Let’s assume that someone manually or automatically decides to buy all possible combinations for the upcoming circulation.

With a ticket price of 80 rubles, this will require a very significant amount of 30,159,360 rubles.

Such a bet would be quite feasible if its economic component were logical. The Gosloto jackpot 5 out of 36 has never even come close to this amount, and will never come even close to this amount. Winning the jackpot with such a bet will, of course, have a 100% probability, but the winning amount will not cover the amount needed to spend on purchasing such a number of tickets.

Four deployed systems - in pursuit of winning.

All 36 lottery numbers can be divided equally into four bags.

Each bag will contain 9 numbers. In total, five numbers appear during the drawing.

Accordingly, if the first four numbers drawn end up in different bags, then the fifth number will end up in one of the bags that already contains the number drawn. That is, whatever one may say, in the worst case scenario, one of the bags will contain 2 winning numbers, that is, it will be winning.

Thus, in order to be guaranteed to win the lottery, you need to make 4 detailed systems in which all the numbers will be involved.

The cost of four such bets with a ticket amount of 80 rubles will be equal to 40,320 rubles with a guaranteed win of 80 rubles.

It would seem that the economic feasibility of such a bet is also questionable, but we must not forget that such a bet can also win a prize of a larger category, but here without any 100% guarantees.

Thus, the probability of matching three numbers in such a bet will be less than 30%, and the probability of winning the jackpot will be equal to the standard probability, as when buying 504 tickets with random combinations.

A few more game systems in Gosloto 5 of 36

Our program, called Nostradamus, tries to guess the winning combination of the nearest draw based on statistical analysis and other factors, forming only one combination.

Incomplete systems 5 out of 36 are a more cost-effective analogue of deployed systems. Many players find this system central to their gameplay.

A balanced strategy subjects the winning combinations to elementary mathematical analysis.

Conclusion

The lottery remains a lottery - a gambling hobby that brings millions of winnings to a few winners. The article discusses some possible methods of winning and the theory of probability in the Gosloto 5 out of 36 lottery.

Read also other blog posts:

Multiple Winner Lottery System

What is the probability of winning the lottery? This article is all about the chances of winning in various lotteries around the world with the calculation of the number of combinations.

It is logical to assume that anyone who buys a lottery ticket wants to win the main prize. In the vast majority of lotteries there is only one jackpot. If there are several winners, the amount is simply divided by their number. Of the well-known world lotteries, the only exception is the Spanish national lottery and its variations - Christmas El Gordo and New Year's El Niño, where there are several main prizes.

Based on this, to calculate the probability of winning the lottery you just need to count the number of combinations. This will be the mathematical basis for the lottery.

Below we have compiled a table for you that shows the probability of winning for the most famous Russian, European and American lotteries.

Number

Lottery

Probability of winning the main prize

Megamillions-Megamillions

1 in 175 711 536

Powerball -PowerBall

1 to 175 223 510

Euromillions -EuroMillions

1 to 116,531,800

Eurojackpot -Eurojackpot

1 to 59 325 280

La primitive -La Primitiva

1 to 139 838 160

Gosloto 6 out of 45

1 to 8 145 060

Gosloto 5 of 36

1 in 376,992

Below are formulas and examples for calculating the number of combinations and the probability of winning some Russian lotteries and European lotteries. You must also remember that in all modern lotteries, in addition to the jackpot, there are other categories of winnings, when, for example, 6.5 is guessed from the 7th number, and so on.

To calculate the probability of winning, we do not need probability theory, but rather combinatorics.

So, a little math. A combination is the selection of k elements from n data without regard to order (for example, by selecting all at the same time or even sequentially if, as a result of the selection, this order is considered unimportant).

The number of combinations is calculated by the formula:

The number n!, which is equal to n*(n-1)*(n-2)*(n-3)..*1 is called n-factorial or simply factorial. For example, 5!=5*4*3*2*1=120. That is, we present the above formula as follows:

xnumbers from n =

(n)
( x)

=

n * ( n - 1) * ( n - 2) * ( n - 3) … * [ n - ( x -1)]
1 * 2 * 3 * 4* .. x

For example, for a lottery gosloto 5 out of 36 total number of combinationscalculated like this:

5 out of 36=

(36)
(5)

36 * 35 * 34 * 33 * 32
1 * 2 * 3 * 4 * 5

376 992.

Thus, the chance of winning for state lotto, or any other lottery in which you need to guess 5 numbers out of 36, is 1 in 376 thousand 992.

For lotteries using the 6 out of 45 formula, the specified formula will look like this:

6 out of 45 =

(45)
(6)

45 * 44 * 43 * 42 * 41 * 40
1 * 2 * 3 * 4 * 5 * 6

8 145 060.

Please note what a huge difference there is - two seemingly similar lotteries, but the probability of winning in the first case is 21 times greater than in the second.

In lotteries7 out of 49 total number of combinationswill be:

7 out of 49 =

(49)
(7)

49 * 48 * 47 * 46 * 45 * 44 * 43
1 * 2 * 3 * 4 * 5 * 6 * 7

85 900 584

As you can see, the calculation formula is suitable for any lotteries according to the formula XfromY.

For the popular 6 out of 49 scheme in Europe, the probability of hitting the jackpot according to this formula is 1 in 13,983,816.

If we are talking about lotteries like EuroMillions , where there are additional balls, then the number of combinations is simply multiplied

So, for the mentioned EuroMillionsthe formula looks like this:

“5 out of 50” =

(50)
(5)

50 x 49 x 48 x 47 x 46
1 x 2 x 3 x 4 x 5

2,118,760 combinations.

“2 out of 11” =

(11)
(2)

11 x 10
1 x 2

55 combinations.

Total - 2,118,760 x 55 = 116,531,800 combinations Euro Millions.

For Euro Jackpot number of combinations equals respectively - 2,118,760 x28 = 59,325,280 combinations.

To calculate the occurrence of a lottery win, we introduce the concept of probability:

Consider the case of lottery 5 out of 36:

As we already know, the total number of combinations is 376,992.

Probable number of wins = C(4.5)*C(1.31).

Those.

5 x 4 x 3 x 2
1 x 2 x 3 x 4

31
1

Thus, we divide the total number of wins 376,992 by 155 and we get 1 win per 2,432 combinations.

For 3 guessed numbers:

5 x 4 x 3
1 x 2 x 3

x
1 x 2 x 3

44 950

Those. 1 win per 8 combinations.

Using this data we can calculate the lottery return percentage. Let's say we play state lotto using the formula 5 out of 36 and marked 2432. With the current ticket price of 40 rubles, we will spend 97,280 rubles. On average, according to the above calculations, we will get one four, 30 threes and 300 twos. Multiplying by the winning rates (4000, 400 and 40 rubles, respectively) we get 28,000 rubles. Divide 97280 by 28,000 and we get that the return is about 34.7%.

According to data from the official Gosloto website, the results of draw No. 1336 dated July 30 look like this (up-to-date information on the results of the draws of all the most popular Russian and world lotteries can be found in the lottery draws section):

180,777 bets in the amount of 7,231,080 rubles. According to the results of the draw, the winnings amounted to 2,110,040 rubles. Those. still the same 34%. About 2.3 million rubles went into the jackpot. Gosloto's profit for the draw from game 5 out of 36 alone amounted to approximately 2.8 million rubles. Those. Gosloto, or rather a commercial company (more about the legal structure gosloto), the company behind this brand, keeps 30% of the proceeds for itself.

Now let's look at probability of winning the lottery like Russian lotto, i.e. those in which there are 90 barrels, and 30 numbers are crossed out on the ticket.

According to the lottery rules, a ticket wins the jackpot if all 15 numbers are on the ticket on the 15th move. The result is lottery 15 out of 90. According to the above formula, the number of such combinations without taking into account the order is 45795673964460800.

As you can see, this number is significantly greater than the number of combinations for classic lotteries such as 5 out of 36, 6 out of 45, as well as lotteries with additional balls - such as Euromillions and American lotteries - Megamillions and Powerball.

Spanish lotteries such as ElGordo and LotereaNacional stand apart, in which a number from 00000 to 99999 is written on each ticket. That is, for these lotteries the probability of winning is 1 in 100,000.

Based on the above information, using the above formulas, you can easily answer the question of what is the chance of winning the lottery.

And if we take into account that in such lotteries the winning rules for other classes of winnings sometimes also depend on the line numbers, the order of the barrels, etc., then it is obvious that in terms of the probability of winning, such lotteries are noticeably inferior to classical schemes.


In conclusion, we would like to cite an interesting paradox of the lottery:

It is quite expected that this particular ticket will not hit the jackpot, but one should not assume that none of the tickets will hit the jackpot.

". Believe it or not, it's up to you! I’m not forcing you, let everyone have their own opinion. One of them imagines himself to be a supergenius, but in reality he doesn’t know how much 6x9 is. Another... I am writing an article for those who have not yet figured out this wonderful program, but are making every effort to win. But there is a lot to learn from practice. People think that they will press a button and millions will fall from the sky. No. This program is an analyzer. If you process the data ineptly, nothing will happen. But, since there is a reference point, so to speak, the forecast of numbers is based on it. That’s why there is an analysis of previous circulations, where, strictly speaking, . But I'll look at another real win at 5 out of 36:

Remember one statement for now: numbers may transfer to a new circulation from the last five, but the entire circulation does not! If you, of course, paid attention to this (if you didn’t pay attention, then sorry, THIS PROGRAM IS NOT FOR YOU), in particular in “Gosloto 6 out of 45” - this often happens. That the numbers are repeated 2-3 times, the same. And there is an “increase” or “decrease” of +/- 1 sign. There is such a thing. Let's assume that the number "6" has passed. This means that there will probably be “6”, but perhaps there will be either “5” or “7”!? Yes. Thanks to the program and one of the game methods, this option can be calculated, minimizing the headache with calculations. We considered one of the options, the so-called “growth-decline”. The method in the program is called “ in trend". (We'll get the numbers to generate later)

But there are still numbers that need to be excluded? Right. Let’s put “in trend” on the shelf for now and look at the exceptions. In the program, one of the game techniques is called “ exclude". Everything is simple here. We take (I won’t say exactly how much, you need to look at the numbers, old and not repeated. In old editions, as soon as a “complete replacement” occurs, then up to this point, if there were no such numbers. Usually it is 3,4,5,6, 7 circulations.) We copy them, the numbers of ALL THESE circulations and paste them into the field for calculation. We generate. We get numbers that theoretically cannot exist. And yet Gosloto deliberately rigs them so that (someone as smart as you won’t win, knowing this). Remember what I wrote in bold: numbers can change... but now we have excluded them with you. We got a certain result and copied it “to notepad” - right in the program, before switching to a new method.

Let's return to the method " in trend". We take the last 5 draws. Paste it into the field. We generate. We get the growth and decline of numbers. The so-called "side numbers". Why do we need them? These are the very numbers - exceptions of exceptions. But in total, your result in this case will be equal to 10%! (2.3 numbers in total) Why? Because numbers that are repeated too often or are rare are deleted by the program on purpose. In the method, “exclude” all paired or more numbers, and then “side” numbers are built for them if there is growth. For example: there are numbers 1,2,2,4. 2ka rises, and 4ka falls - that means the number will be 3! Do you know what I mean!? This is the essence of the calculation of this method. After all, here we are looking for growth and decline - and nothing more. Copy to notepad in the program.

Next, we copy from the notepad into the calculation field what we got in the first “exclude” method and the second “in trend” method into a pile. We generate. We get a set for generation: 25 5 7 26 27 10 11 1 3 2 4 9 6 Just in case, we copy them “to notepad” in the program. And we switch to a new method of play. (Taken from my logs in the program).

Now that we have numbers to generate, we can use one or the other method. The first is the “selection +/-”, which allows you to set which sign and how much to “move”. If it is +2 (in the first digit, where the number is 25) then we get: 23, 24, 25, 26, 27! We don't need this. After all our task is to reduce the calculated numbers for combinations. And so the easiest way to choose in this case is: "-1/+1" method. For example: If the number 25 is in the first sign, then we get: 24, 25, 26. What we need so as not to be “scattered”, because we excluded some numbers ourselves in the literal sense of the word. On the right there is a self-control field “Super Prize Test” to check matches. And here is the result:

Analyzed numbers from circulation archives: 13
Approximate amount for bets: 19 (There may be more, so you need to minimize the numbers for the combinations - in the right way)
Number of bets spent: 19 (Expenses: 19×300 rubles = 5700 approximately, possibly more)
Numbers for combinations: 2 26 8 3 9 4 24 0 5 12 11 25 28 7 10 27 1 6 (why did “0” appear by +1/-1 1-1=0, this is what we get after “filtering” and “processing” using various methods)
Successful numbers, taking into account the processed numbers, became (in one of the generations):

2 4 6 10 26

We generate. The numbers “5 out of 36” came out in draw N1938 dated July 28, 2014: 2 4 6 10 26 the winnings were: 1 105 140 rubles!!! Congratulations to the winner! Thank you for having this program! You've done the numbers correctly.

Learn! Unfortunately, more and more people began to use the program and note that they began to win 1-2 million in state lotto several times a month. We won the largest super prize so far - 10 million! (We played with extended bets, but it justified itself completely, since all the calculations were made using this program. We spent about 300,000 rubles. There was an “investor” in the project!) I am sure that you yourself will be able to pick up and discover your own secrets of state lotto , use various methods and their combinations for filtering and analysis. It’s not stupid to hit the button and then scream. I wish you good luck!

PS: You can test the program using the Mozilla Firefox browser. Testing time and some functionality are limited. ADVICE: Use first one, then the other, then the first method again - process the numbers “in the right way” and apply your head to everything, of course. If something is not clear, re-read this article again. And until you learn, my advice is not to play for money. We also have such comrades.

The lottery "GosLoto "5 out of 36" is one of the most popular in modern Russia. The rules of this lottery are simple. You need to buy a coupon, which contains 6 fields with numbers from 1 to 36. In one or more fields, cross out 5 numbers that, according to you think will come up in the next drawing. If you match all 5 numbers, you will win a large amount of money. How to win at "5 out of 36"?

Tips for playing the lottery successfully

There are some tricks you can use to help increase your chances of winning.

Same combination of numbers

Choose a combination of 5 numbers for yourself. And it doesn’t even matter which one, as long as you like it. Bet on it regularly. The "5 out of 36" draw is played twice a day. Sooner or later your combination will come up. There are already examples of the success of such a strategy.

Circulation statistics and probability theory

It only seems at first glance that the numbers appear randomly during the drawing. In fact, there are patterns here too, only very complex ones. Keep track of the statistics of the latest draws (which numbers appear frequently, which ones rarely, what is the sum of the drawn numbers), study the mathematical theory of probability, develop your own system, and your chances of success will increase.

Help magic

There are a great many magical ways to attract good luck and wealth. Find yourself a talisman, a spell, worship the gods of wealth, rearrange the furniture according to Feng Shui. Moreover, what is important is not so much what ritual you choose, but the sincerity and depth of your belief in the inevitability of a positive result. Constant concentration of consciousness on what you want and complete abstraction from outsiders lead to an effect inexplicable by logic: you get what you really want.

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!