FRoulette - roulette analysis program
Most serious European roulette players have own systems bets on which they place the greatest hopes, and even those who at first bet “whatever they have to” then look for consistency in the drawn numbers and try to bet on the most probable, in their opinion, numbers. At the same time, some bet only on color, others on pairs, etc., because everyone has their own approach and strategy.
"FRoulette" is an automatic calculation of bets on roulette. As the name suggests, the program will help the player make correct and effective bets. It is designed to automatically calculate probabilities and bets for playing European roulette.
The program was written for European roulette because it is more common and humane in relation to its players. In addition, "FRoulette" is a full-fledged software extension of the Martingale gambling system with some of its own changes and additions, which are based on the experience of players, because it takes into account all 10 common types of bets, the following bets are considered by doubling, and also according to some algorithms you can calculate bets at which you will win in any case, etc.
Roulette program features:
- automatic probability calculation for 10 types of bets at each stage of the roulette game;
- analysis of the size of the next bet, at which the winnings will be satisfactory;
- selection of the most winning bet after each number drawn;
- taking into account that minimum winnings, which the player plans to receive after each bet;
- tracking maximum and minimum bets, balance, as well as the amount of current bets;
- change many settings to suit your own needs.
With all this, the program cannot guarantee the player a win with a 100% probability, because roulette was inherently designed in such a way that in the end the player could remain in the red (although with a serious approach the probability of winning can be increased to 99%).
So why not 100%? The answer is very simple: no matter how good the strategy and software- nothing can save you from losing different series, but, nevertheless, this program can offer several of the most optimal ways out of the current gaming situation.
As a result, in addition to calculating probabilities and choosing the optimal bet, the player receives:
1. Saving time, because according to some strategies, manual calculations can take quite a lot for a long time, and the software is capable of producing in a fraction of a second.
2. Saving your own energy and getting overall pleasure from the game, because you won’t need to sit with a calculator and a piece of paper all the time, constantly writing something down.
3. Protection against mistakes that were made accidentally. For example, a player makes the next bet in such a way that it becomes the maximum allowable, but at the same time, so that absolutely all previous bets pay off. If the game is on long and a lot of bets have already been made, then the task becomes really difficult.

People come to gambling through various reasons. Today, you don’t even have to leave your home to do this. Just turn on your computer and use the services of an online casino. Someone wants to tickle their nerves and test their luck. Someone, on the contrary, seeks to remove nervous tension. Separate category casino visitors are people who want to make money. One of the most popular games- roulette. And, sooner or later, all players begin to wonder: “How to beat roulette in a casino?” Is there a way to stay ahead? In fact, the idea of ​​making money this way is not new. Since this game can be predicted within certain limits, it is mathematically possible to calculate the probability of winning.

Types of roulettes

Today there are two types of roulette - European and American. The casino profit is 2.7% and 5.3% respectively. The principle of the game in both versions is the same: there is a wheel with numbered cells, and there is a ball. The player needs to guess the number or color of the sector where the ball will land. Based on the above figures, it is already clear that it is easier to beat a casino at roulette if you choose a table with a European version of the game. There are many methods and ways to beat the casino at roulette. All of them are equally applicable to both real gambling establishments and their online competitors. All these methods are mathematically justified and fair only if the casino plays fairly and there are no blocks on a series of identical bets. But, as you know, any gambling is a scam and a risk. And you need to outsmart fate. Otherwise, how to win at casino roulette?

Martingale method

The simplest and most common way to beat roulette. The essence of the method is as follows:

1. Choose minimum bid, with which we will start the game.

2. After each loss, we double the amount so that when you win, the profit is equal to the initial bet.

3. Did you win? Great! We immediately return to the minimum bet.

The method is old, it was invented back in the 18th century, but even today it has not lost its relevance. After all, everything that we have that is new is long-forgotten old. In each cycle of the game, you must bet on one of the options - red or black, and in no case change your choice when increasing the bets.

Is it possible to beat an online casino at roulette using this method? Most likely not, because everyone knows it, and the rules of the game can take into account its application. First of all we're talking about on limiting the number of identical bets. That is, at a certain move in the series it will be impossible to bet on the same sector. Also, some casinos limit in their rules maximum amount- 10-100 initial bets.

Fibonacci method

The method is similar to the previous one. How to beat roulette in a casino with its help? It is enough to follow the following rules:

1. You need to select a minimum bet.

2. After each loss, we increase it by a multiple of the Fibonacci series (for those who don’t remember, it’s 1-1-2-3-5-8 and so on).

3. If you win, you do not need to return to the minimum bet - you need to step back two numbers in the Fibonacci series.

4. The game cycle ends as soon as you return to the minimum.

You must bet on the same color in each series - black or red.

The main difference between this method and the previous one is that the probability of reaching the maximum bet is much lower, due to which the series can be significantly extended. Also, each game can end with either a negative balance or a positive one.

Labouchere system

This is a fairly simple game strategy. It also answers the question: “How to beat roulette at an online casino?” Using this method, you can quite easily control your bets and keep track of your winnings.

The essence of the method is as follows:

1. We will use a game of equal chances: black-red, even-odd, and the like.

2. At the very beginning of the game, you need to come up with a random number from 1 to 9; optimally if there are 4-6 numbers (for example: let our row be 4-1-7-3).

3. We determine the bet by adding the extreme numbers of our series (in our case it is 4+3=7).

4. If we win, the last numbers are crossed out (we are left with 1-7). If the row ends, then a new list is invented.

5. In case of loss, you need to add to the amount equal to the lost bet (for us it is 7, and the row will look like this: 4-1-7-3-7, which means the next bet is 4+7=11).

There is also "Reverse Labouchere". In this case, when you win, add last bid, and if you lose, the extreme numbers of the series are crossed out.

"Three for three spins" system

How to win at roulette following this strategy? Much easier and faster than previous options. The idea is to place three bets simultaneously in one spin. The game series lasts three spins.

The likelihood that you will be able to beat roulette using this method is very high, but the minimum bet is also higher - a multiple of 17. You need to bet in a ratio of 9:6:2 on the following positions:

• 9 units - for “less”;
• 6 units - for the third dozen;
• 2 units - for the corner of the numbers 19, 20, 22, 23 or 20, 21, 22, 24.

In this case, with a bet on 17, the winnings will be - 18. In one spin you can win one unit (with a bet on 17 - 1, with a bet of 34 - 2). You can also lose in this case: if you get zero or the numbers 21 and 24 (depending on the selected corner).

The chances of winning with such a game are very high, much greater than when using the previous three methods.

System "Dozen and a half"

The essence of the method is as follows:

• We expect the non-winning numbers 19, 20, 21, 22, 23 and 24 to appear;
• skip one spin;
• We place equal bets on the lower number and on the third dozen;
• if the smaller number is rolled out, we return the bet; if the third dozen is rolled out, we return one and a half bets;
• after winning, we continue to wait for the numbers from point 1 to appear; if we lose, we increase the bet using the Martingale method.

It is worth noting that if a “zero” appears, the player also loses his bet.

System "31"

This is the most convenient game when betting on even odds. How to beat roulette in a casino this way? You need to follow the instructions:

1. The initial bet is 1 on even odds.

2. If you win, we double it.

3. In case of loss, we increase the bet according to the progression 1-1-1-2-2-4-4-8-8. If we win a spin, we return to the initial one.

The minimum amount of funds for this method of play is $31. This amount will allow you to withstand ten losing spins. It should be noted that this is quite unlikely, but also possible.

If you win twice in a row, you should return to your initial bet. This will reduce the risk of completely losing all your money at roulette. After all, winning generates excitement and the erroneous belief that luck is on your side.

Albert Suarez system

The essence of the whole game is as follows.

1. Collect statistics of the last 75 spins.

2. Based on the results of the games, we determine the missing numbers. If there are none, then we take statistics from another table.

3. We bet one chip on the numbers that did not appear during the next 37 games.

4. When a number appears, we increase the bet on it by one chip. But you don’t have to do this, but always set it the same way.

5. Over the next 37 spins, one of the numbers will appear at least twice, and you can make an excellent profit on this.

Belle's repeating number system

The method is very similar to the one described above. Because it also uses statistics from previous games. The method looks like this:

1. We skip a series of spins until a number appears twice.

2. As soon as this happens, we place 1 bet on this number for the next 37 spins.

3. If during a series a certain number appears twice, we begin to bet on it too.

4. If this number does not appear again in 37 spins, then we make the following selection according to statistics.

These are just a few of the most popular and simple ways to beat roulette at a casino. There are still a huge number of them: different in terms of minimum financial support for one game series, differing in their complexity. Nothing will prevent you from developing your own way of playing roulette - it will only increase the likelihood of winning.

It is worth noting that the casino administration knows about everyone known methods achieving regular winnings at roulette. It is in their interests to protect themselves from clients who use these methods. This is the goal of the administration of both real gambling establishments and online casinos. Therefore, an integral companion of any successful player, just like a hundred or two hundred years ago, is luck, without which it is difficult to win in gambling.

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How to win at a casino, or what roulette can teach those who don’t like gambling

Preface

I am not a casino owner or a gambling addict. I did not receive a penny for this article from the bigwigs of the gambling business, and on the contrary, I risk causing their displeasure by teaching you how to play roulette correctly. And to make things even more intriguing, I’ll say that I work as an auditor, have a PhD in economics, and sell my software for finance. analysis of the largest enterprises in Russia. Therefore, I often teach how to save savings, and not waste them (this is why the Sberometer project was launched). And yes, I didn’t lie in the title and I really will tell you a theory on the verge of mathematics and psychology that will allow you to win at the casino. It may not always be money, but good mood– exactly!

Who loses at the casino?

In the casino, the one who comes to earn money loses. If you go to a casino for this purpose, you have already lost! People go to the casino to have an exciting time in luxury and excitement. They go to work for money. Therefore, before going to the casino, allocate an amount that you do not mind. And how to save it is my task, for the solution of which this article was written.

Second point. Never play slot machines (one-armed bandits). There is no more mediocre and stupid way to squander money than throwing coins into an iron box. However, according to the American Gaming Association, in Las Vegas casinos, 74% of players prefer slot machines and only 5% prefer roulette.

What is the fundamental difference between a slot machine and roulette? In the first case, you play with a black box, which itself decides whether to give you a win or not. In the case of roulette, your opponent is the theory of probability with objective laws that you can observe with your own eyes. The opaque operation of slot machines allows you to put any “appetite” into them. Therefore in different countries, including Russia, the minimum return on winnings from slot machines is forced at the state level. As a rule, the minimum value is limited to 90%. Those. If you play such a machine for a long time, you will find that it “eats” only every tenth ruble put into it. They say that in Las Vegas, on the initiative of individual casinos, this bar is raised to almost 95% (it is impossible to verify, you can only believe in the kindness of the sharks of the gambling business). But more often the percentage fluctuates (at least it should) around 90%. Compare this to roulette, where the casino’s “appetite” is not 10%, but only 2.7%.

Roulette: Basics

On the roulette wheel, numbers from 0 to 36 are scattered around the circle. This is European roulette. In American roulette there is also a 38th number – “00”. Beware of American roulette, you have twice the chance of losing at it than at European roulette! This means that over a trip to Las Vegas, you should prefer a trip to Monte Carlo or Macau (a Chinese gambling zone that has long outdone the legendary Las Vegas in terms of turnover). Why is American roulette twice as voracious as its European sister? To do this, you need to understand how to win at roulette. Its size is determined not by the desire of the casino owner, but solely by the theory of probability. And it works like this.

Let's discard the unfortunate 0 and 00 for now, imagining that we have 36 numbers. The probability that a specific number will appear at random is 1 in 36 (or 1/36). This means that you only have a 1 in 36 chance of guessing which number will come up (i.e. 2.78% chance (= 1/36 * 100%)). But if you guess correctly, you will receive from the casino 36 times the amount you bet.

All 36 numbers are colored equally in black and red (18 black and 18 red; only zero is green). You can choose to bet on “red” or “black”. If you bet a chip on “red” and guess correctly, the casino gives you back 2 times what you bet. Why exactly 2 times, and not 3 or 4? Because the probability of guessing correctly when betting on “red” or “black” is 18/36 or 1/2. And therefore your reward will be 2 times the bet (i.e. equal to the denominator of the fraction).

According to the rules of roulette, you can place a chip not only on a specific number or on black and red, but also cover several numbers at once with one chip. In particular, 12 numbers, 6, 4, 2 numbers (there is a picture below in the article that shows how this is done on the gaming table). And in all cases, if you guess correctly, the winnings will be inversely proportional to the probability of guessing. So, by closing 12 numbers, you will receive 3 times more chips than you bet (12/36 = 1/3); put a chip on 4 numbers at once, you will get 9 chips (4/36 = 1/9) and so on, the principle is clear - the probability of winning is less, you get more chips.

If there were only 36 numbers on roulette (by the way, the sum of all numbers from 1 to 36 is 666, which is why roulette is called the “Ferris wheel”), then we could play in the casino for hours on end, remaining with our money. As shown above, winning would exactly balance the probability of losing. But the casino is not a charitable organization, so it wants to take a piece of your pie. To do this, the 37th number was added to the 36 numbers - “0” (European roulette). And the greedy Americans also use the 38th - “00”. The rules for calculating winnings remain the same, as if we had 36 numbers. It turns out that the 37th (and 38th) number is the casino’s income. Now the probability that your number will come up is 1/37 (or 1/38 in the American version), but you will still receive 36 times more than you bet. It turns out that on average the casino receives 1 ruble out of every 37 rubles that you bet on roulette. Casino income - 2.7% (1/37*100%); and from American roulette - 5.3% (2/38).

How much does the casino earn from me?

Yes, when playing roulette you pay the casino only 2.7%. But this is so little, you say?! The supermarket's markup on food products can be 20% or 30%! Why then are there gold walls, marble floors and free booze in a casino and not a supermarket? It's simple. The store bears the costs of delivering the goods, storing them, etc. And the casino takes your bill and, figuratively speaking, cuts off the 37th part from it, without leaving the gaming table. Money flows like a river, and the small stream leaving this river in favor of the casino turns into a very large lake with goldfish on the hacienda of the owner of the gambling establishment. So why am I writing this article, if 2.7% must be guaranteed to be given to the establishment, the game is obviously a losing one? Because you can lose in different ways. You can lose all your money in one moment, or you can rejoice at your victories all evening, receiving sharp, but mostly positive emotions. How - read below.

A story from the 90s. The first casinos appeared in Moscow best traditions capitalism, pompous, with free booze, but a minimum wage too high for ordinary citizens. But this was not the case where ours did not disappear! There were dodgers. They came to the casino in twos, pretending not to know each other. One bet on black, and the other at the same time on red. As you understand, in 36 out of 37 cases one of them won, and exactly as much as the other one lost. That is, in total they remained practically with their money. What's the catch? And the booze is free! True, the guards quickly learned to recognize such booze-hungry beggars and take them out under white hands.

Casino myths and magic schemes to win at roulette

Myth 1: Beginners are lucky.

Of course, newcomers are no more lucky than regulars. It’s just that when an old-timer wins, they don’t pay attention to it special attention. And when a newcomer wins (especially by betting his chip on one number and receiving a stack of 36 chips in return), he rejoices louder, and those around him focus on his success. The casino is profitable in order to attract newcomers, and for the old-timer of the establishment - good explanation, why the newcomer won and not him :)

Myth 2: If you get “red” 10 (20, 30...) times, then now you will probably get “black”!

This is a misconception exclusively from the field of psychology. Indeed, the probability that “red” will appear 10 times in a row is very low, less than 0.1%. Therefore, when we see that “red” has come up 9 times, we have no doubt that “black” will definitely come up on the 10th time. In fact, the key point here is that red has ALREADY been rolled 9 times, so now the odds of getting red and black are still 50/50 (or, to go deeper, the odds of getting red 10 times are exactly the same like 9 times “red” and then “black”). I haven’t been to casinos often, but I have seen such long series of the same color, just like those who believe that they cannot continue indefinitely. Yes, they can’t go on forever, but the probability that a “one-color” series will end on the next move is 50 to 50.

Myth 3: You can't beat the casino.

No, I was not mistaken. The fact that you cannot be guaranteed to win at a casino (theoretically) is as much a myth as the fact that you can (practically). According to the rules of roulette, you can theoretically win. But to prevent this from happening in practice, the casino introduced an additional rule - the maximum bet. Otherwise, the rich would be able to increase their fortunes without leaving the table. To do this, you need to constantly bet on red (or black): first 1 chip; losing - 2 chips, losing again - 4, then 8, 16, 32 and so on until you win. You will win only 1 chip, but you will not be able to lose endlessly; as I wrote above, the probability that one color will appear 10 times in a row is less than a tenth of a percent. In a clever way this is called the martingale system, but usually such an idea comes to all players by itself. And if it comes to Bill Gates, who has enough money to “survive” a black streak of almost any length, the casino will be in trouble. To do this, casinos have two tricks: they limit the maximum bet that can be made at the table, and increase the minimum bet for the most simple option"red-black". That is, anyone who wants to wait for a bright streak in life will have to start with larger amount, and the probability of finishing the “race” without waiting desired color, no longer so ghostly.

Myth 4: The casino spins the roulette wheel to make you lose.

Quite the contrary, the casino goes out of its way to ensure that roulette works as correctly as possible, i.e. the numbers were absolutely random order. This slot machine we can tweak it, set any probability of giving out a win - the player still won’t check. Roulette is a completely different matter. All it takes is a slight misalignment of the table and the casino will start losing money. Players will quickly notice if numbers from one sector of the roulette wheel begin to appear more often. And that’s it, roulette will become unprofitable for the owner. Therefore, the tables are not only set perfectly evenly, but also a special counter controls the randomness of numbers, signaling in case of suspicious deviations from the theory of probability.

A story from the 2000s. One day I happened to come across a crooked tape measure. Of course, in a serious casino this is practically impossible. But there was a time when automatic roulette stood alongside the usual one-armed bandits in provincial Russian cafes... It was the only time in my life when I bet on a specific number (never do that, see below!) and... won:)

Myth 5: Casinos are expensive and people lose a lot there.

They lose at the casino exactly as much as they want to lose. For example, in the Monte Carlo casino the minimum bet is 5 euros. This means that you can play for 100 euros all evening, receiving positive emotions. Or you can lose this hundred in 3 minutes without getting an ounce of pleasure. Details are below.

How to win a good mood at roulette with minimal costs

First of all, never bet on a specific number! Did you bet on "14"? The probability that exactly “14” will be rolled is less than 3%. This means that instead of getting 36 chips in return for the one placed on the table, you will most likely simply lose it.

Secondly, do not bet on “black-red”. This is the simplest and most attractive option for beginners. With a probability close to 50/50, you will either lose your chip or win 2 instead of 1 put on the table. This is better than betting on a specific number, naively believing that Fortune is asleep and sees how to caress you with attention. But this is still not reasonable enough. Because:

a) for bets on “black-red” casinos, as a rule, set a minimum bet 5 times higher than other betting options (so that you lose money faster and don’t pull the cat by the tail);

b) we don’t want to be happy or upset with a 50/50 chance, we want to be more happy than sad :)

So what should you bet on?

Bet 5 chips at once, closing 5 blocks of 6 numbers (called “six-line” in English). In roulette there is a bet option where one chip covers 6 consecutive numbers. It looks like this - point “F” (in the picture this is how numbers from 31 to 36 were closed):

By betting on 6 numbers, if you win, you receive 6 instead of one bet chip. The probability of winning is 1/6 (more precisely, 6/37 due to the presence of “0”, but for simplicity we will assume that it is “one sixth”). However, we don't want to win on average 1 time for every 6 bets. Therefore, we close not 1 block of 6 numbers, but 5 at once. In other words, we leave only 6 unclosed numbers plus “0”. Which 6 numbers to leave uncovered is at your discretion, practice your intuition. The main thing is that now we will win with a probability of 5/6 (or more precisely, 30/37), and lose with a probability of 1/6 (or, taking into account zero, 7/37). That is, the probability of winning is 5 times greater than losing. Yes, miracles do not happen, if we win, our wallet will grow with only one chip, and if one of the “not our” 7 numbers falls out, we will lose 5 chips. But the key point here is that we will win 5 times more often than we lose!

The whole point is that we rejoice at winning 1 chip not 5 times less than we regret losing 5. This is subjective and difficult to prove, but in practice this is exactly the case. Winning more often but less is a more positive way to spend your time than winning a lot and rarely (or even never). In fact, if you bet on one number, on average you will win 37 times. But do you need it, it’s depressing to lose chips 36 times and wait for that rare moment of winning?! Moreover, there can easily be more than 36 defeats in a row, and in order to “wait out” them, waiting for a win, you need more chips... Do you need it, spend money on a cloud of chips and then watch your fiasco over and over again? This is not what you came to the casino for!

To play according to the “five-sixths” tactics, you will need 20 chips “ starting capital" That is, 100 euros in Monte Carlo is enough. The probability that you will never win is 0.13%. That is, you must be very guilty before Fortune for her to make such a cruel joke on you. The legal casino income of 2.7% has not been canceled with any approach to betting. But if you bet your 100 euros entirely on one number, or, which is a little better, on “red-black”, you will learn about such a moderate casino income only from this article, but not from practice :)

The described theory of “positive casino visits” has been tested in practice more than once by me and I can confirm that:

a) the joy of winning 1 chip may be less than the bitterness of losing 5, but definitely not 5 times. Therefore, by winning 5 times more often than losing, you spend the evening positively, feeling from your own experience the basic rules of probability theory, which are not emphasized at the university.

b) 20 chips are enough for the evening. I haven't been to a casino often, but I've never left without a single chip. As a rule, what you came with is what you left with, but sometimes it’s a plus. This is explained by the fact that I did not play often and did not play all night long, so this legal 2.7% was simply not felt. Small pranks Fortune forgives;)

Are there any other betting options?

Eat. According to the same theory of getting pleasure from the game, you can bet 2 chips, closing 2 lines of 12 numbers (to close a line of 12 numbers is the “B” chip in the figure above). With a 2 out of 3 chance you will increase your budget by 1 chip, otherwise you will lose 2 chips. In this case, you will need even less “starting capital”. If you only have 12 chips, then losing them all without winning once will require a lot of effort, because... the probability of this is only 1.7%. But personally, to me, the possibility of losing every 2 wins seems like an insufficiently positive rest, so I like the “five-sixths” option more.

Or you can take my theory to the point of absurdity - take 35 chips and close 35 numbers at once, leave it to your discretion evil rock only 2 numbers. With a probability of 95% (i.e. in 35 cases out of 37) you will return 35 chips and additionally receive 1 prize money. But in 5% of cases you will say goodbye to all 35 chips, which is very, very disappointing. This is rather an approach for someone choosing between suicide and “getting rich.” A person borrows 35 million, bets it on 35 numbers and with a probability of 95 out of 100 becomes a millionaire. Well, in 5 cases out of 100, creditors will implement the first option... We don’t need such a roulette.

Instead of a conclusion

Roulette is the theory of probability in its purest form, which can be seen and touched. Roulette is the most honest way of taking money from the population; it is much more honest than contributions for major repairs or a funded pension.

The approach outlined above is applicable not only to roulette. For example, movements in financial markets are sometimes not very different from random ones. It’s not for nothing that FOREX is often compared to a casino. If you rely not only on your knowledge and intuition, but also on the theory of probability, you will be able to earn not so much, but at least not lose much :)

When playing roulette, the casino makes a profit due to the existence of a zero, and the advantage of the casino over the player is 2.7% - with one zero and 5.26% - on roulette with two zeros. It should be noted that in practice, even in a regular casino, this rule is not always observed. An experienced dealer can purposefully play against large bets, directing the ball to the other side of the roulette wheel. The probability that the ball will not land on number c big bet, very high. It is almost impossible to detect the croupier's dishonesty in this case.

Online casino software

Responsibility for gaming software large casinos are borne by its manufacturers. Casino owners cannot “tweak” the software in their favor, since they simply do not have access to the settings. This is true for the largest casino software manufacturers - PlayTech, Microgaming and some others.

At the same time, some online gambling establishments use software that allows them to increase the client’s likelihood of losing. This, in particular, is the problem with some Russian online gambling establishments. The following principle is usually used: for a client who has just registered, the game is fairly fair, so on the first day he can . But if at the end of the day the client remains profitable, he is transferred to another software. In this case, it is almost impossible to win; the player’s deposit is rapidly melting away.

Sometimes you can notice the following pattern: the client’s usual bets are played fairly. But as soon as the player raises the bet, he is sure to lose.

Casino integrity check

The player always has the opportunity to check the fairness of the casino, and there is no need to calculate anything - there is more simple ways. If the casino is honest, the number of wins and losses will correspond to the theory of probability. Remember that testing should only be carried out on real game. The demo version of roulette does not give an accurate result - on the contrary, in many casinos the demo software is configured in favor of the player in order to quickly force him to start playing the real game.

To test the theory of probability, play only for equal chances - bet sequentially on “1-18”, “Even”, “Black”, “Red”, “Odd”, “19-36”. Place exactly in a circle, this eliminates the subjectivity of choice. Use the minimum bid.

Keep statistics of wins and losses. Mark each win with a plus in your notebook, and each loss with a minus. Write vertically – on the left is a column of pros, next to the right is a column of minuses. Ignore the zero or enter it in the third column.

If the casino is honest, the number of pluses and minuses corresponds to the theory of probability and turns out to be approximately equal for a large number of bets. Long series of pros and cons are possible, up to 10-15 in a row, sometimes more. But overall between winning bets and the losers must be equal. To obtain more or less accurate statistics, you need to make several hundred bets.

This experience makes it easy to identify dishonest casinos. In order to be guaranteed not to have any complaints against the gambling establishment, choose a casino with md5 integrity control.

Thus, teoriya veroyatnosti v kazino generally justifies itself - provided that the gambling establishment behaves honestly towards players and uses reliable software from trusted companies.

As Augie Morosco said in the movie “Once Upon A Crime”: “There is no system in roulette, believe me... If you want to win at the casino, don’t go there.”

Is it possible to win at roulette on the Internet?

Yes, you can. The same goes for other gambling and lotteries. But usually in online roulette the casino wins. Because the rules of the game of roulette are designed in such a way that the player always has less chance of winning than the casino.
Let me give you an example. As is known maximum win is 1 to 36, and there are 37 numbers used (from 0 to 36). That is, if you bet 1 ruble on all numbers, then the costs will be 37 rubles, and the winnings will be only 36. One ruble will remain with the casino forever.
But don't despair. The chances of winning at roulette are always greater than at the lottery. In particular, in the USSR, in the DOSAAF lottery, only 50% was spent on paying out winnings.

And unlike any lottery, you choose the numbers you will bet on. Moreover, you can change these numbers during the game. This is what distinguishes roulette from “Gosloto 5 out of 36” and similar ones, where you can also choose the numbers on which you will bet, but only before the start of the draw.

Probability theory when playing roulette

The wonderful science of “Mathematics” is needed not only for counting change in the store. Everyone who received higher education, you probably remember one of the branches of higher mathematics - probability theory.

Probability theory is a branch of mathematics that studies the patterns of random phenomena: random events, random variables, their properties and operations on them. (material from Wikipedia)

In essence: random phenomena are described by law! This is what we need! After all, the numbers that appear when playing roulette are random (ideally, if you do not take into account the uncleanliness of the casino, a crooked table, a stuck roulette, an interested dealer, etc.) Thus, Knowing the sequence of numbers drawn, you can predict with a certain probability which number will be next!

Let's look at the simplest example.
Playing for “black” or “red” (even-odd, less than 18, more than 19).
At the beginning of the game. That is, if you have never spun the roulette before and, accordingly, not a single number has fallen out. The probability of “red” and “black” is 18/37 = 0.486. And the probability of Zero is 1/37 = 0.027.
If, for example, the result is “black”, then the chances of “red” in the next round increase. And they will be equal to 1 - 19/37 = 0.736. If black comes up twice in a row, then the chances of “red” increase to 1 - 19/37*19/37 = 0.865. Of course, this is not a 100% guarantee of winning, but there is a chance of success.
In order not to bore you with calculations, I will provide a table with the results.
Table 1.

As you can see, the more blacks appear in a row, the higher the chances of red in the next move. BUT!!! The probability of getting red will never be 100% NEVER. In other words, there is no guaranteed win at roulette.

Roulette statistics

How many times in a row can “black” (or “red”, or even, etc.) appear? As many times as you like, at least 500. But according to statistics, everything is limited to 10 repetitions. History knows only a couple of cases when repetitions amounted to more than 10 balls in a row. Of course we are talking about honest casinos :)

Roulette tactics

The basic rule of playing roulette is to bet on those numbers that are more likely to appear. To do this, you must have statistics on the sequence of dropped balls. It is impossible to apply this tactic in a real casino. You will not be allowed to write anything down or calculate anything. Therefore, all of the above is true only for Internet roulettes in electronic virtual casinos.

Martingale method

The Martingale method is considered one of the win-win methods of playing roulette. I want to emphasize the word “win-win”. Not “winning” at all. Remember that all the advertised methods of playing roulette allow you not to lose longer, and, if possible, to win if you are lucky.
The essence of the method is to double your bets in case of loss.

First time - 1 ruble (let it be a ruble, let's support a domestic manufacturer 🙂 (if you win - income 1 ruble and start from the beginning)
If you lose, then bet 2 rubles (if you win, income is 1 ruble and start from the beginning)
If you lose again, then we bet 4 rubles (if you win, then the income is 1 ruble and we start from the beginning).
More details in the table:
Table 2.

That is, to win 1 ruble in 10 steps (we will assume that the maximum sequence of one color is 9) you must have 2047 rubles in your account! That is, you must have funds for such a bet. But the saddest thing is that the rules of many casinos have restrictions both on the maximum bet (for example, 1000 rubles) and on the ratio of the minimum to the maximum (usually 1:100). That is, if you started the game with a bet of 1 ruble, then your maximum bet will be 100 rubles. According to table 2, this is line 7. And the probability of winning, according to Table 1, will be 0.990584. And as you know, a sequence of one color can be continuous for 9 rounds in a row.
To at least slightly increase the probability of winning, it is more accurate not to lose until the 7th round. I slightly modified the method. The level of rates in which is shown in Table 3.
Table 3.

As you can see, the income from this method is less. But the probability of losing is also lower. Now the bet threshold of 100 rubles is reached already in the 8th round, where the chances of success are higher.

How to use the Martingale method or the rules of roulette

It is necessary to analyze the dropped balls for compliance with the following sequences:

1. Black (black-black - sequence of one color 2 times)
2. Red (red-red - sequence of the same color 2 times)
3. Color change (black-red-black - color change sequence 2 times)
4. Even (2-12 - sequence of even 2 times)
5. Odd (33-17 - sequence of odd 2 times)
6. Parity change (28-5-14 - parity change sequence 2 times)
7. Under (1-18) (11-8 - sequence “under” 2 times)
8. More (19-36) (21-35 - sequence “more” 2 times)
9. Shift “more-less” (27-4-19 – change “more-less” 2 times)

For example, the numbers fell 17-14-9
Let's analyze them.

17(black+odd+less)
14(red+even+less)
9(red+odd+less)

What do we see? There was a change of parity 2 times, 2 colors in a row (red) and 3 times the “under” was rolled. Thus best choice, according to Table 1, there will be a bet on “over”. If we lose, then we will use table 2 or 3 and place bets according to them. If we win, then we analyze the current situation.

For example, 23 was rolled.
And our sequence became 17-14-9-23.
We analyze.

17(black+odd+less)
14(red+even+less)
9(red+odd+less)
23(red+odd+more)

As you can see, there was “red” 3 times in a row and it makes sense to bet on black in the next round.
And so on. If we win, we analyze the sequence; if we lose, we use the Martingale method.

How much can you win at online roulette using the Martingale method?

As a rule, for 1 hour of play, income increases by 10-20%. With the restrictions imposed by casinos, losses are inevitable. In addition, the maximum income of 1 ruble does not contribute to quick enrichment.

Criticism of the Martingale method

Small income if you win.
Large sums when betting.
Casino betting restrictions will not allow you to advance beyond the 7th round.

Alternative methods of playing roulette

By analogy with the game of half (black-red, even-odd). You can make tables of probabilities for playing by a third (columns and dozens). Where the winnings are greater and amount to 1 in 3. But the probability of winning is also less.

Criticism of roulette playing methods

One of the main arguments among critics is that the ball has no memory. And therefore, red, for example, can appear at least 500 times in a row. That is, the probability of getting a particular number is reset after each throw. In other words, if the probability of getting red is 18/37 = 0.486, then this value is constant from throw to throw.
From this they are trying to conclude that all methods of playing roulette are complete nonsense.
But statistics show that probability theory works great when playing roulette. And only restrictions in the rules of the game introduced by casinos do not allow turning gambling into a source of income.

How to win at roulette

By observing several simple rules You can make money at roulette. If you just sat down at the table, then miss a couple of ball throws. This will allow you to get a certain sequence of dropped numbers. And thereby push back the barrier of 7 or 8 games a couple of steps. By doing this, you increase the likelihood of your winnings. Don't be tempted to bet all your money, even if you see red 9 times in a row. If you are not sure what to bet on, then it is better to skip the move.

Instead of an epilogue

You can win at roulette. At the very least you don't have to lose. But the crumbs earned are not worth the time spent on them. That is, you cannot count on playing roulette as a source of permanent income. Moreover, at the slightest deviation from the rules and recommendations described in this article, you will quickly lose.
The rules of roulette were developed by people well versed in mathematics. And mathematics is a science. Believe that knowledge ordinary person It’s not enough to come up with a technique for winning at roulette. Methods and programs that are widespread on the Internet are created with the aim of profiting from those who want to get rich by playing roulette.
Modern roulette rules are designed so that the casino always wins. As one of my friends says: “You can only win at a casino if you have more money than the casino, but then why go to the casino?”