Lottery systems for play 5 of 36. Secrets of luck or step by step algorithm winning in the lottery

In Russia, since the time of the Soviet Union, lotteries, giving participants hope to change their entire lives, just guessing the right set of several numbers. One of the most popular games is "Gosloto" 5 out of 36 ".

It is mathematically proven that a chance to win the jackpot here is significantly higher than in other lotteries of this type ("6 of 45", "7 out of 49"). This attracts many people who consider it possible to solve their household problems due to victory in one of the circulation. Analysis of "Gosloto" 5 out of 36 ", which was held in this article, will show if they are right.

Lottery organization

The rules of "Gosloto" 5 out of 36 "are as follows. Each participant must select five arbitrary numbers in a ticket. During the draw, a special machine is used - lothotron, which is certified by the state as a sufficiently reliable generator of random numbers. 3 36 balls are loaded into it, each of them has Room from 1 to 36. Lothotron pulls out five pieces of them by randomly. If any player managed to guess all the dropped numbers, he wins the jackpot. It is possible to win several players at once, in this case it shares equally between all the winners . If anyone failed to guess all 5 numbers, then the jackpot increases and goes into the next circulation.

Every day there are five draws at once (at 12, 15, 18, 21 hours in Moscow time, as well as at midnight). Unlike the lottery "6 of 45", the live broadcast is not carried out, the results of circulation immediately post on the official website of "Gosloto".

Probability to catch good luck

The analysis of "Gosloto" 5 out of 36 "to win the victory is carried out with the help of a special section of mathematics - combinatorics. It allows you to count how many different options can be made by choosing from 36 balls only 5. As calculations show, there are 376 992 such combinations. So How they are all considered equally, the probability of winning the jackpot is 1/376990 \u003d 0.00000265.

It is common that in this lottery the chance to get the main prize is significantly higher than in all others. Analysis of "Gosloto" 5 out of 36 "," 6 of 45 "and" 7 of 49 "confirms this.

The number of all possible combinations for "6 out of 45" is 8 145 060. The "7 of 49" are more than an order of magnitude - 85 900 584. This means that the probability of take a jackpot in "6 of 45" is 21 times lower than 21 times, but In "7 out of 49" for 128 times.

Thus, it is possible to confirm that the lottery under consideration is indeed one of the most beneficial to get a jackpot. It is not by chance that an advertising slogan game uses the phrase "every week a new millionaire!".

Also, secondary prizes are paid to players guessing from 2 to 4 numbers. The chances of obtaining them are presented in Table:

How to increase the likelihood of ripping jackpot?

As in other lotteries of this type, there is an opportunity to dramatically increase the chance of victory at the expense of the so-called unfolded bet. Its application allows the participant to choose not five, but a larger number of rooms. Maximum can be specified 11 numbers.

Using the expanded rate increases the number of combinations that lead to a jackpot. With the help of the combinatorics, you can make the following table:

At the same time, the cost of the ticket is growing directly proportional to the number of combinations leading to success. So, if the minimum price of the game is only 80 rubles, then for the ability to choose 11 rooms will have to give 36,960 rubles. Therefore, the economic feasibility of such a "increasing chance" is under a big question.

Statistics "Gosloto" 5 out of 36 "shows that the bet on many numbers does not so much help win, how many players lead to essential financial losses. This tool is specially invented by the Lottery Organizers to dig out of the pockets not very well-tested in mathematics of customers as much money as possible .

Super prize

Since September 19, 2017, a lottery "Gosloto" 5 out of 36 "there were small changes in the rules of the game. In general, the task of the participants, everything also remains to guess the combination of five numbers, which the lothotron will be issued. However, now also appeared the so-called" super prize ". For Its obtaining it is necessary in addition to the five numbers to guess one more, which will be stretched out of the second drum. The balls with numbers 1, 2, 3 and 4 are loaded into it, it is clear that the chances of winning a super prize 4 times less likely to get a regular prize. Since players get It is much less likely, it accumulates a greater number of circulation, and as a result, it reaches just astronomical values.

The biggest winning lottery story

The largest prize was able to receive a resident of Voronezh. Good luck smiled on August 12, 2013. Jackpot size amounted to 47 368 520 rubles. Thus, the size of the main prize in this lottery is significantly less than in its counterparts. For example, in "6 of 45", the record winnings amounted to 358 358,566 rubles.

So is it worth playing this lottery?

Although the chances of winning the jackpot in this game are significantly higher than in many other lotteries, it is not worth a breaking head to run to buy a cherished ticket in the nearest kiosk. Sober analysis "Gosloto" 5 out of 36 "shows that all winnings are paid at the expense of the game participants. If you are more accurate, then 50% of money earned on tickets go to the formation of a prize fund, and the second half is in the pocket of the Lottery Organizers. This means that with any selected tactics, the mathematical expectation of the player will be negative.

Therefore, the lottery, including state, is called "nonsense tax." The absolute majority of their participants remain in the minus, and the more they are trying to apply all sitea methods for determining the "happy" numbers, the more they lose money. So before playing "Gosloto" 5 out of 36 ", think if your family budget will pull another cost.

Is it possible to win in the lottery? What are the chances to guess the desired number of numbers and get a jackpot or a prize of a younger category? The probability of winning is easily calculated, anyone can do it yourself.

How is the likelihood of winning a lottery?

Numeric lotteries are carried out according to certain formulas and the chances of each event (winning one or another category) are calculated mathematically. Moreover, this probability is calculated for any desired value, whether "5 out of 36", "6 of 45", or "7 of 49" and it does not change, as it depends only on the total number of numbers (balls, numbers), and How many of them should be guess.

For example, for the lottery "5 of 36" probability always the following

• guess two numbers - 1: 8
• guess three numbers - 1: 81
• guess Four Numbers - 1: 2 432
• guess Five Numbers - 1: 376 992

In other words - if you note one combination in the ticket (5 numbers), then the chance to guess the "two" of only 1 out of 8. But the "five" numbers catch much more difficult, this is already 1 chance of 376 992. This is exactly what (376 thousand) All sorts of combinations exists in the "5 out of 36" lottery and you can win in it, if only fill it all. True, the amount of winnings in this case will not meet attachments: if the ticket costs 80 rubles, then it will be 30,59,360 rubles a ticket. Jackpot is usually much less.

In general, all probabilities have long been known, everything remains that they find them or calculate themselves with the help of the relevant formulas.

For those who look for laziness, we give the probabilities of winning for the main numeric lotteries in Podcot - they are presented in this table.

Necessary explanations

Lotto-widget allows you to calculate the likelihood of winning for lotteries with one lottery (without bonus balls) or with two lototrons. You can also calculate the probabilities of deployed rates.

Calculation of probability for lotteries with one lottery (without bonus balls)

Only the first two fields in which the size of the lottery is used, for example: - "5 out of 36", "6 of 45", "7 out of 49". In principle, you can calculate almost any global lottery. There are only two limitations: the first value should not exceed 30, and the second - 99.

If additional numbers are not used in the lottery *, after choosing a numeric formula, it remains to click the Calculate button and the result is ready. It does not matter whether the likelihood of which event you want to know - the winnings of the jackpot, the prize of the second / third category or simply find out whether it is difficult to guess 2-3 numbers from the right amount - the result is calculated almost instantly!

Example of calculation. The probability of guess 5 of 36 is 1 chance of 376 992

Examples. The probability of winning the main prize for lotteries:
"5 out of 36" (Gosloto, Russia) - 1: 376 922
"6 out of 45" (Gosloto, Russia; Saturday Lotto, Australia; Lotto, Austria) - 1: 8 145 060
"6 of 49" (Sportloto, Russia; La Primitiva, Spain; Lotto 6/49, Canada) - 1:13 983 816
"6 out of 52" (Super Loto, Ukraine; Illinois Lotto, USA; Mega Toto, Malaysia) - 1:20 358 520
"7 out of 49" (Gosloto, Russia; Lotto Max, Canada) - 1:85 900 584

Lottery with two lototrons (+ bonus ball)

If two lottery is used in the lottery, then it is necessary to fill out all 4 fields to calculate. In the first two - the number of the lottery formula (5 of 36, 6 of 45, etc.), the third and fourth field marks the number of bonus balls (x from N). Important: This calculation can be used only for lotteries with two lototron. If the bonus ball gets from the main lottery, then the probability of winning is this particular category is different.

* Since when using two lotothrons, the winning chance is calculated to multiplying the probabilities to each other, then for the correct calculation of the lotteries with one lottery, the choice of an additional number of default is as 1 out of 1, that is, not taken into account.

Examples. The probability of winning the main prize for lotteries:
"5 out of 36 + 1 of 4" (Gosloto, Russia) - 1: 1 507 978
"4 of 20 + 4 out of 20" (Gosloto, Russia) - 1:23 474 025
"6 of 42 + 1 out of 10" (Megalot, Ukraine) - 1:52 457 860
"5 out of 50 + 2 out of 10" (EuroJackPot) - 1:95 344 200
"5 of 69 + 1 of 26" (Powerball, USA) - 1: 292 201 338

Example calculation. The chance to guess 4 of 20 twice (in two fields) is 1 to 23 474 025

A good illustration of the complexity of the game with two lotterons is the lottery "Gosloto" 4 of 20 ". The probability of guessing 4 numbers of 20 in one field is quite gentle, the chance of this is 1 out of 4 845. But when you need to win both fields ... then the probability is calculated by multiplying. That is, in this case, 4 845 multiply on 4 845, which gives 23 474 025. So, simplicity of this lottery is deceptive, to win the main prize in it is more complicated than in "6 of 45" or "6 of 49"

Calculation of probability (deployed rates)

In this case, the likelihood of winnings when using expanded rates is considered. For example, if 6 of 45 in the lottery, mark the 8th numbers, then the likelihood of winning the main prize (6 of 45) will be 1 chance of 290 895. Whether to use expanded rates - to solve you. Taking into account the fact that their cost is very high (in this case, 8 marked numbers are 28 options) It is worth knowing how it increases the chances of winning. Moreover, what to do it is now quite simple!

Calculation of the probability of winning (6 out of 45) on the example of the expanded rate (marked 8 numbers)

And other features

With the help of our widget, you can calculate the likelihood of winning and in bingo-lotteries, for example, in the Russian Lotto. The main thing is that it is necessary to take into account, this is the number of moves allocated to the offensive of the win. To be clearer: for a long time in the Lottery "Russian Lotto" Jackpot could be won in the event that 15 numbers ( in one field) closed for 15 moves. The probability of such an event is completely fantastic, 1 chance of 45,795,673 964 460 800 (you can check and get this value yourself). That is why, by the way, for many years in the Lottery "Russian Lotto", no one could rip the jackpot, and it was distributed forcibly.

03/20/2016 The rules of the Lottery "Russian Lotto" were changed. Jackpot now you can win if 15 numbers (out of 30) were closed for 15 moves. It turns out an analogue of the expanded rate - after all, 15 numbers are guessed out of 30 available! And this is quite another likelihood:

Chance to win Jackpot (according to the new rules) in the lottery "Russian Lotto"

And in conclusion, we give the likelihood of winning in lotteries using a bonus ball from the main lottery (our widget such values \u200b\u200bdoes not consider). From the most famous

Sportloto "6 of 49" (Gosloto, Russia), La Primitiva "6 of 49" (Spain)
Category "5 + bonus ball": probability 1: 2 330 636

Superenalotto "6 out of 90" (Italy)
Category "5 + bonus ball": probability 1: 103 769 105

Oz Lotto "7 of 45" (Australia)
Category "6 + bonus ball": probability 1: 3 241 401
"5 + 1" - probability 1:29 602
"3 +1" - probability 1:87

Lotto "6 out of 59" (Great Britain)
Category "5 + 1 bonus ball": probability 1: 7 509 579

Hello!

My name is Ivan Melnikov! I am a graduate of the university NTU "KPI", the engineering and physical faculty, the specialty "Applied Mathematics", a happy family man and just a fan of games for good luck. Since childhood, I was fond of lottery. It was always interesting for me, for what laws are those or none balls. From 10 years I wrote the results of the lotteries and after analyzing the data.

Yours faithfully,

Ivan Melnikov.

1. Mathematical chances of victory

   • Simple calculation with factoria

The world's most common lottery are games for the luck of the type "5 of 36" and "6 of 45". Calculate the chance of winning the lottery trite on probability theory.

An example of calculating the possibility of obtaining a jackpot into the lottery "5 of 36":

The number of free cells is necessary to divide the number of possible combinations. That is, the first digit can be chosen from 36, the second - out of 35, the third - out of 34 and so on.

Consequently, here is the formula:

The number of possible combinations in the "5 of 36" lottery \u003d (36 * 35 * 34 * 33 * 32) / (1 * 2 * 3 * 4 * 5) \u003d 376 992

The winning chance is 1 to almost 400,000.

Let's do the same for the lottery type "6 to 45".

The number of possible combinations \u003d "6 of 45" \u003d (45 * 44 * 43 * 42 * 41 * 40) / (1 * 2 * 3 * 4 * 5 * 6) \u003d 9 774 072.

Accordingly, the winning chance is almost 1 to 10 million.

• A little about probability theory

According to a long-known theory of each ball in each next search, there is an absolutely equal chance to fall out compared to others.

But not everything is so simple, even according to the theory of probability. Consider in more detail on the example of taking a coin. The first time we had an eagle, then the next time the likelihood of the loss of the rush is much higher. If the eagle fell again, then next time we expect a holding with an even greater probability.

With balls coming from lothotrones, approximately the same story, but somewhat more complicated with a more significant number of variables. If one ball fell 3 times, and the other is 10, then the probability of the first ball is higher than that of the second. It is worth noting that this law diligently violates the organizers of some lotteries that change the lothotrons from time to time. A new sequence appears in each new lottery.

Some of the organizers use a separate lothotron for each ball. Thus, it is necessary to calculate the likelihood of each ball in each separate lottery. This on the one hand slightly facilitates the task, on the other, it complicates.

But this is just the theory of the probability that, as it turned out, does not really work. Let's see what secrets based on dry science and statistical data accumulated for not one decade.

1. Why does not work probability theory?

   • Nonideal conditions

The first thing that is worth talking is to calibrate the lothotrones. None of the lotometrons calibrated perfectly.

The second nuance is the diameters of lottery balls are also not the same. Even the difference on the slightest lobes of millimeters play a role in the frequency of loss of one or another ball.

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

• The sum of winning numbers

If we consider the statistics of the numbers that won the "6 of 45" type lottery, then you can notice an interesting fact: the amount of the numbers to which the players set, ranges between 126 and 167.

With the sum of winning lottery numbers for "5 out of 36" a bit different story. Here the winning numbers make up the amount in 83-106.

• Even or odd?

What do you think, what figures more often are in winning tickets? Even? Odd? I will tell you with full confidence that in the lotteries "6 of 45" these numbers equally.

But what about 5 out of 36? After all, you need to choose only 5 balls, even and odd can not be equal to quantity. So here. After analyzing the results of the drawing lotteries of this type of the last four decades, I can declare that it is insignificant, but even more often, odd figures appear in winning combinations. Especially, those that contain a number 6 or 9. For example, 19, 29, 39, 69, and so on.

• Popular groups of numbers

For the lottery type "6 to 45", the number is conditionally divided 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, 2 to 4. That is, either in the ticket will be 2 The numbers from the group from 1 to 22 and 4 numbers from a group of 23 to 45 or vice versa (4 numbers from the first group and 2 of the second).

I came to a similar conclusion, analyzing the statistics of the "5 of 36" lotteries. Only in this case the groups are a little different. Let's first denote the group into which the numbers are from 1 to 17, and the second one, where the remaining numbers are placed from 18 to 35. The ratio of numbers from the first group to the second in winning combinations in a 48% case is 3 K 2, and in 52 % of cases - on the contrary, 2 to 3.

• Should I put on numbers from the past draws?

It has been proven that in 86% of cases in the new draw, the number is repeated in the previous draws. Therefore, it is easy to follow the draws of the lottery you are interested in.

• Serial numbers. Choose or choose?

The chance of falling at once 3 consecutive numbers is very low, and is less than 0.09%. And if you want to put at once on 5 or 6 consecutive numbers, there is practically no chance. Therefore, choose different numbers.

• Numbers with a single step: victory or loss?

Do not put in numbers that go in a single sequence. For example, unambiguously do not need to choose step 2 and make a bet with this step. 10, 13, 16, 19, 22 - uniquely losing combination.

• More than one ticket: Yes, or not?

It is better to play every 10 weeks of 10 tickets than once a week one by one. And also play by groups. You can win a large cash prize and divide it between several people.

1. Worldwide lottery statistics

   • Mega. millions

One of the most popular lottery in the world was carried out according to the following principle: it is necessary to choose 5 numbers from 56, as well as 1 of 46 for the so-called golden ball.

For 5 guessed balls and 1 True called Golden Lucky Gets Jackpot.

The remaining dependencies are shown in the table:

Statistics of the existing ordinary balls for all the time of the drawing of the above lottery.

Statistics of falling golden balls for all the time of drawing MEGA MILLIONS.

The most often drop-down combinations in the lottery are shown in the table below:

• Lottery Powerball where to break the jackpot, it was already a dozen lucky ones. It is necessary to choose 7 main game numbers and two balls "Pavebrel".

1. Winners history

   • Lucky-compatriots

Evgeny Sidorov from Moscow received 35 million in 2009, before that Nadezhda Mechanamezov from Ufa resorted Kush at 30 million. "Russian Lotto" sent another 29.5 million in Omsk the winner who did not want to call himself. In general, tearing jackpots - this is a good habit of Russian people

• 390 million US dollars in one hands

In the lottery, which we have already spoken, Mega Millions lucky who wished to remain unknown, won $ 390 million. And this is not a rare case. In the same lottery in 2011, at once, two times managed to break the jackpot, which at that time from the amount of 380 million. The monetary prize was divided into two parts and was awarded to people who guess the victorious numbers.

The pensioner from South Carolina decided to participate in the lottery "Pavebrel" and won 260 million, which decided to spend on the formation of their children, and also bought a house, several cars in the family, and then went to travel.

1. conclusions

So, here is the squeeze of the most effective rules, following which, you will definitely win:

1. The sum of all the numbers you put in the lottery ticket must be calculated by the following formula:

Amount \u003d ((1 + n) / 2) * Z + 2 +/- 12%

n - the maximum number of rates, for example, 36 in a lottery of the type "5 of 36"

z - the number of balls for which you put, for example, 5 for the lottery "5 of 36"

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. Put equally on even and odd figures.
2. Share all the numbers into two large groups in half. The ratio of the number of numbers in the winning ticket came 1 to 2 or 2 to 1.
3. Follow the statistics and put on those numbers that have fallen out in previous draws.
4. Do not put on numbers with one step.
5. Better play less often, but buy several tickets at once, and also gather together with friends and relatives.

In general, bolder! Follow my rules, make bets, analyze statistics and win!

For 2 months we led the statistics of the game (test for honesty!) In Russian lotteries on one popular resource

You seriously think that playing in the lottery with closed drawing and with the conclusion animated Video broadcasts, really win Jackpot?

Then we go to you!

Experienced by we will prove to you how the players deceit on this resource. True serious prizes and jackpots (1st and 2nd categories - fall out of random people!). Call it as you want, right up to the playing of gaming money.

Statistics of the rates of one of our players for the main lottery (6 of 45 & 5 out of 36):

For example, one of the rates on 140 combinations of numbers into the Lottery of Gosloto 6 of 45 with a probability of a jackpot win - 1 to 8,000,000, and accordingly the likelihood of winning secondary prizes is an order of magnitude higher.

The deployed rate of 8 numbers on each of the 6th ticket fields was issued:

as you can see, the cost of this rate was 14 000 R. - as a result, the winnings amounted to - 1500 R.

On the other hand, it may seem absolutely normal coincidence, but not when parallel to playing comrades make bets on the amount more 30 000 r. In each edition, closing most of the popular combinations and numbers on 6 fields of tickets - Winning pitiful 1500r.

Many of the combinations falling out during the drawings running each other, really suggest on the thoughts about the planned minutes 20 prior to the start of the drawing and automatically generated combinations, because the numbers sometimes fall far from random!

There were cases of loss in two risks running each other3 and 4 repeated numbers in combination, which, in principle, probability theory is almost impossible, the probability is 0.000001%

Those. Support is absolutely officially answering our question:

Player: What is the guarantee that drop-down combinations (rapido, 6 of 45, 5 out of 36) are not automatically selected randomly, based on the already purchased tickets (rates) with some generator "Code da Vinci" (just for these 20 minutes before the start of the draw, after closing the bets)?

The answer of technical support:There are no guarantees, you must trust us by default, since we have a circulation commission and numbers of numbers, proprietary specialists.

So, it turns out that we are obliged to believe that money is not washed away in this way, but really won by ghostly players, which is also unrealistic to trace.

Well, if there was still a live broadcast of the drawing with real people in a circulation commission, whom we could see, and, accordingly, the process of choosing a lottery distribution. device.

Perhaps the number of winning people in each rubage is a fiction that we have to remove the eyes that supposedly really wonBut to trace it is not possible.

Next important point:

Why the distribution of prizes of the 2nd category and other minority occurs often between a clearly defined number of participants?

As in principle, this can be possible on the theory of probability, if the number of players is more than 100,000 people, and the number of rates sometimes exceeds 300,000.

ON A NOTE:In lottery gosloto 6 of 45 - the probability of guessing 5 numbers from 6 (win the prize of the 2nd category) is an order of magnitude less than guessing 5 numbers from 5 V lottery 5 of 35 (Prize of the 1st category), but for some reason the number of guessing 5 numbers in the lottery 6 of 45 is always greater than 1 (from 1 to 10).

In the lottery 5 of 36, the first category prize (guessing 5 numbers of the combination) is played out by no means in every circulation and it is done only with one goal - maintaining the interest of players to this game due to the rapid increase in the amount of jackpot by constantly influencing the money into it. It can no longer suggest that numbers in Gosloto fall far away by random.

The number of winning prizes of the second category in the draws lottery Gosloto 6 of 45 and 5 of 36 (Coincidence of 5 of the 6 numbers and coincidence of 4 out of 5 numbers in a combination, respectively) - constantly seemed to be adjusted under certain frameworks.

In a lottery 5 of 36 The number of guessing 4 numbers from 5 often never exceeds 30 people in order to leave the range to select the 5th number in the combination of the lottery generator - in this way the main prize of the 1st category Does not be played and copied to a certain value. Subsequently breaks away with no random people and is displayed on "Financing of public spending."

Although, in principle, we never check for the dead statistics of the outcomes of the draws - if the number of winning the prize of the second category itself varies within 13-30 people or only 2, and maybe no one.

Numbers may fall out randomly, but quite definite and convenient for individuals so that the number of winners was equal 0but for all playing through the site stoloto.ru and the following game followings of drawing Certain amounts of payments will be displayed to the winners in order to players could see the imaginary and falsified results of the drawing (picture above) and be convinced that the winners are and they are paid real money - you do not check!

And believe me, it is not necessary to implement such a scheme to implement such a scheme!

Thus, the money collected by the circulation from the draw to the draw can be distributed not between real players (payments to non-existent winners), but to go to well-defined "offshore" funds for the management of stateloto and other state structures.

I do not argue, small amounts up to 6000 r. There is a meager chance to win, but large jackpots (more than 5-300 million rubles) and prizes of the second category - to win you unlikely to ever succeed.

The invented stories of the winners can really cling to the soul, but to falsify them, as well as find the right people who play the role of millionaires also does not represent difficulties - this is the opinion not only of our specialists.

For example, take the lottery of Gosloto 5 of 36 (with a "greater probability" of winning - 1 to 300,000).

The cost of 126 combinations was about 4000-5000 p.

Outcome - without winnings! At the same time, the staff of the "One hundred Lotto" notes that each fourth combination wins.

The result of the foregoing is the following:

Choice for you to play or not to play Russian lotteries, but the honesty and openness of the lottery are still important!

Now when open official overseas Lottery online for Russians - The ability to win American or European jack-sweat (up to 1.5 billion dollars) through proven lottery sites of MEGA Lottery agents (www.megalotter.ru) - became a reality!

* All bets made for the dough "Russian State Lottery" were decorated for money won in foreign lottery (Powerball, EuroJackpot, Euromillions, Megamillions), passing with real circulation commissions on livers on TV channels of the lottery data.

In continuation of the topic. The beginning was here:
3 life of Gosloto or 10 reasons do not participate in this lochetron -
how to manage the results of the lottery - secrets from Gosloto -

The probability of winning in numeric lotteries is easily calculated, and these values \u200b\u200bare known.

In the lottery 5 of 36 odds are as follows:
guess two numbers - 1: 8
guess three numbers - 1: 81
guess Four Numbers - 1: 2 432
guess Five Numbers - 1: 376 992

And if it is known how many rates were put, using these values \u200b\u200b- you can calculate how much the winnings for each category should turn out. And, the more circulation passed, the more combinations participated - the closer the real and settlement values \u200b\u200bshould be coincided. Just because the lotteries are subject to mathematics and the law of large numbers, not mysticism or the desire of the organizer

It is simplified this can be described by an example with a coin. Everyone knows that the likelihood of getting an "eagle" or "rush" is 50 to 50. It does not mean that after the "eagle" must fall out "Rushka". But, the more the coins will be reinforced - the closer the real values \u200b\u200bwill be to the calculated one. And if you throw a coin one hundred thousand times - then the "eagle" and "rush" will fall about an equal number of times (~ 50,000)

Consider a numeric lottery 5 out of 36 from Gosloto

In its development (as well as in all numeric lotteries), three periods can be distinguished

Stage 1. Crairasions from the 1st to 524
Lothotron is used, draws are broadcast on the air

Number of bets during this period - 40 316 090
According to the calculations (for each category, we divide the number of rates on the likelihood of a win) The following number of wins will be obtained:
guessing 2 numbers - 5 039 511 (40 316 090/8)
guessing 3 numbers - 497 730 (40 316 090/81)
guessing 4 numbers - 16 577 (40 316 090/2 432)
guessing 5 numbers - 107 (40 316 090/376 992)

how much did it really happen?
"Two" -4 824 561 or 95.7% of the calculated
"Troika" - 501 670 or 100.8% of the calculated
"Four" - 16 964 or 102.3% of the calculated
"Five" - \u200b\u200b113 or 105.6% of the calculated

As you can see, all values \u200b\u200bare close to the calculated one. Very significant in this case will be the application of the rule of three sigm

The rule of three sigm is the likelihood that a random value will deviate from its mathematical expectation by a value greater than the tripled average quadratic deviation, almost equally zero. In practice, it is believed that if for any random variable, the rule of three sigm is performed, then this random value has a normal distribution

Check whether the number of five sigma ran out of the five

Root out of 107 (1 sigma) \u003d 10,344
For the "five" + / - 3 sigms in this example, the interval from 75.98 (107-10.34 * 3) to 138.02 (107 + 10.34 * 3) and the probability of this is 99.7%. And since, for the period under review, the real number of "five" - \u200b\u200b113, this fully confirms that the draws were honest.

Let us turn to the next stage in the life of the Numeric Lotters Gosloto, which began after 524 editions and was marked by the gradual abolition of the transmission of the draw

Stage 2. Circles from 525 to 1459
Lothotron still have, but broadcasts stop over time

Number of rates during this period - 114 255 020
According to calculations (the same, we divide the number of rates on the likelihood of winnings) should be the following number of winnings
"Two" - 14 281 878 (114 255 020/8)
Troika - 1 410 553 (114 255 020/81)
"Four" - 46 980 (114 255 020/2 432)
"Five" - \u200b\u200b303 (114 255 020/376 992)

How much did it really happen?
"Two" - 13 589 196 or 95.1% of the calculated
Troika - 1,400,557 or 99.3% of the calculated
"Four" - 45 982 or 97.9% of the calculated
But the "five" during the period under review it turned out only 180 - or 59.4% of the calculated

Surprisingly, right? The number of winnings on the younger categories coincide with the calculated values, but for some reason the number of "fives". And there is an extremely serious deviation. How big? Turn to the same sigma

According to the rule of three SIGM, in this array of rates, the number of "fives" with a probability of 99.7% should be within 250.77 - 355,23. And as we see them, it turned out only 180. This is a deviation of 7 sigm. It is inexplicable, a lot of stunning. This is just an inconceivable event. Why? Yes, because the deviation on 7 sigm is possible only as 1: 390 682 215 445. Or, if you voiced this probability differently - such an event can occur once in 1.07 billion years (probabilistic table can be viewed)

In our eyes there is an orphan event (I only think, it is possible once a billion years old!) And we did not even guess this))

But, as they say - there is no limit to the limit!
And, from December 1, 2013, the third stage began in the life of Gosloto, which continues now.

So, step number 3. Circles from 1460 to 4184
No Lottery, no broadcast, there is a stage!

Number of rates during this period - 158 743 269
According to calculations, the following number of winnings should be
"Two" - 19 842 909 (158 743 269/8)
Troika - 1 959 793 (158 743 269/81)
"Four" - 65 273 (158 743 269/2 432)
and, "Five" - \u200b\u200b421 (158 743 269/376 992)

how much did Gosloto succeed?
"Two" - 18 856 917 or 95% of the calculated
Troika - 1 938 585 or 98.9% of the calculated
"Four" - 62 859 or 96.3% of the calculated
And finally, the "five" is only 128, or 30.4% of the calculated

As you can see, the number of winnings in junior categories still coincides with the calculation value. As for the main category ... That Gosloto here exceeded itself! Impossible became even impossible!

All this confirms one simple thing:
- The organizers of numerical lotteries GOSLOTO control the choice of a winning combination
- Jackpots, both in the lottery 5 out of 36 and in the lottery 6 and 45 are grown in perfectly
- Who gets these millions? Apparently the same organizers, not players ...