Probability Roulette System

What are the roulette odds of the ball landing in the same colour ten times in a row? What about landing on the same number twice? Let´s take a look, and then we´ll explain how this relates to the Gambler´s Fallacy, or the Monte Carlo Fallacy- the belief that the odds of a black number coming in increase, the more times you see red.

Let´s look at a European Roulette wheel. Over a single spin, the odds of a red number coming up are 18/37, or 1 in 2.06. Over 2 spins, the odds of 2 reds coming in are 1 in 2.06×2.06, or 4.24.

The odds of seeing 10 reds in succession are 1 in (2.06) to the power of 10 = 1 in 1376.

.the Roulette Probability System is not a gambling system as such, as you'll find out once you use it. The profits you make from the RPS are minimal but consistent and it's as I said, I derived the RPS from what I learned in the trading world. Probabilities for Roulette. Since the spaces are the same size, the ball is equally likely to land in any of the spaces. This means that a roulette wheel involves a uniform probability distribution. The probabilities that we will need to calculate our expected value are as follows.

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Pretty low odds that you´ll ever see this, in other words. But that doesn´t mean it isn´t going to happen. In fact, the longest number of reds in a row was recorded in an American Casino in 1943 when 32 came up in a row. Now imagine that you were betting the Martingale that day! The odds of seeing that are 1 in 11 million, or thereabouts by the way.

Another huge streak (this time on black) was seen by the players at the Casino in Monte Carlo who saw 26 blacks in a row on the table on 18 August 1913. The odds of this happening? A mere 1 in 145,000.

And this gave name to the Monte Carlo Fallacy, otherwise known as the Gambler´s Fallacy, as the longer the streak went on, more and more people started piling their chips on to red. And they lost a lot of money.

So what happened?

Gambler´s Fallacy

The important thing to understand and to get your head around, is that these are odds over multiple spins. And here´s the thing. In roulette, you can´t bet on what is going to happen over 10 spins, you can only bet on the next spin. And thus the odds are always the same – 18/37, whether the red came in 10 times previously or not. The wheel has no memory from spin to spin. It is not a living thing.

Tip for Martingale Players

Martingale System Players are often susceptible to long runs as they double their bet after a loss. Start your first bet low if you employ this strategy to give yourself the most room for manouevre

You are Betting on One Spin Not Multiple Spins
When you are betting on one spin, the odds are for one spin, and for one spin only.

One things for sure about the Gambler´s Falllacy- the casinos love it! Don´t get sucked in, keep your thinking hat on.

One thing’s for sure- there are plenty of people who have worked out that the odds are with the casino on roulette, and have opted to scam the casinos instead, like the roulette scam in Ohio. Just be warned- that’s illegal. They got busted.

FAQs Roulette Probabilities

• What are the odds of seeing 10 reds in a row on a roulette wheel?
  The odds of seeing 10 reds one after another are 1 in (2.06)¹⁰ = 1 in 1376. But remember, you cannot bet on 10 spins, only on a single spin. Here the odds are 1 in 2.06
• What is the definition of the Gambler’s Fallacy in roulette?
  The Gambler’s Fallacy is the incorrect belief that a certain event like flipping a coin or the ball landing on a black number is more or less likely, due to a previous sequence of events.
  This is incorrect for mutually exclusive events because each event is independent with a result that has no relation to past events. Think about it this way. Is the wheel thinking after each spin, “I spun a red last spin. Let´s throw in a black to even things up.” No.

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In a game of roulette, the process is pretty direct. The croupier spins the wheel in one direction. Then, a ball is released which spins in another direction. You make a bet on where the ball will stop. In European roulette, the ball will stop in one of the 37 pockets and in American roulette, 38 pockets. The type of roulette has a big impact on the roulette strategy probability.
The betting area in roulette is known as the layout. The layout differs for European and American roulette. There is a single zero in European roulette and the double zeros for the latter. There is also a French style table but this one is hard to find when you are outside Monte Carlo.

Probability Roulette Systems

Payout Ratio for Roulette

The payout ratio for roulette will differ and this depends on the rules that govern your game now. For instance, when you are in the UK, the payout ratio for all bets is the same. There are exceptions on this rule though.This is when the ball stops on a zero. In this case, the dealer gets only half of the original stake.
There is a general formula that can be used when you want to know the payout for a certain bet that you are making. There are also exceptions for this formula.This formula is generally used to predict the payout based on the roulette strategy probability:

Payout=1/n(36-n)=36/n-1

In this formula, the n will refer to how many squares the player is currently putting his bet on. With this formula, the payout will be added to the initial bet.So,the sum of the two will be the amount that you can get from what you initially placed as abet. The profit’s expected value based on the roulette strategy probabilitywould be 0.This happens when the numbers that the player is betting on is 36 or less. This simply means that the casino will have an edge if the total numbers that the player has to bet on is 37 or more.

With this formula, it will be easier to know how many numbers you can bet on. You will also know the value that you can expect to receive once you place a bet on it. We will now move on the strategies that are famous in roulette and the probability that you can beat the odds in roulette when you are applying a certain tactic.

How Betting Strategies Affect Probability

After being played for hundreds of years, many roulette betting systems were introduced. So, it’s not startling that there are a lot of methods devised to beat the odds in roulette. The most famous strategies rely on the amount of bets placed on the roulette table.

Probability Roulette System Pdf

In general, the probability of winning when computed using the geometric series is close to each other. For American roulette it is 0.95 and for European roulette it is at 0.97. The same roulette strategy probabilitywill not change the probability that a certain number will come up. This is trueeven if progressive strategies like Martingale are used to make bets on roulette tables.
There have been different tactics devised by many people who play roulette. These tactics are often based on the mechanical movements of the wheel. This is deemed to be a more strategic tactic for playing roulette. This can increase the player’s ability to win in roulette. This will help you tellwhere the ball will finally fall on the wheel’s pocket.This is great for anyone betting on the game as chances of winning will also increase. This same method has been used in Monte Carlo by Joseph Jagger.

Computing Machines: How They Improve Winning Odds

There are computer counters which were made to improve the player’s predictions on just where the ball will fall. Today, there are methods with a greater skill to predict in which octant the ball will land on. These machines are more precise in telling the place where the ball will land. But, when these are used, it is vital to know the timing for the ball’s release.The wheel’s speed should also be noted. By keyingin all of the info in your computing machine, you will be able to know the numbers tobet on. Hence, roulette strategy probability of winning in roulette would certainly increase. But it is also worth noting that this system will work best when the wheel that is being used for roulette is not biased.

Probability Roulette System Chart

Unluckily, many casinos already know that that these computing machines exist.This means that they are looking for players who plan to use certain methods to make money while gambling in the casino. There are discreet methods that are used by these casinos so that they can catch professional players.Hence, caution must be exercised by anyone who uses any strategy using computing machines.

Probability Roulette System Free