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ADVANCED ROULETTE STRATEGY - THE PROPORTIONAL-PROBABILITIES SYSTEM >> NEW: Now you can try our most ADVANCED System completely risk-free. Sign up below! Be careful:
We are going to show you a completely different way of looking at the game of Roulette so that you can actually beat it both consistently and in the long-term. We dedicate most of this page to actually showing you exactly how our Advanced Roulette Strategy works before you start using it so that you know exactly why you will win with it. We even offer examples of all the concepts involved for you to try and give you all the probabilities our Roulette System is based on because we want you to understand precisely why our System wins so much. And to prove to you that our Roulette System actually works, we don't even charge you anything to use it and only require that you share your profits with us, which means we only make money after we have made you money first. No seller of a losing System would dare do that.  Before we begin, we're going to tell you something that defies intuition so that you get a deeper grasp of this System and what it is based on. As we've mentioned, this is a very advanced System, so we don't recommend skimming over any of these parts, as it will take a careful reader to really understand why this System is so powerful. As you know, a European Roulette Wheel has 37 straight numbers on it (e.g. 0 to 36). You also know that in the long run, each number will come out almost evenly since they all have the same probability of being spun. But what happens in the short-run? Similar to how the Earth looks smooth and perfectly round from the moon, but very uneven and rugged - with mountains and valleys - from up close, certain patterns emerge in Roulette numbers in the short-run that can be exploited. For example, even though the odds of any individual straight number coming out in European Roulette is 1 in 37 in the long run, if you "zoom-in" and watch just 37 consecutive spins of the roulette wheel at any moment, several numbers will have repeated themselves and several numbers won't have appeared at all. But that's not even the surprising part. If you continue spinning until all 37 numbers have appeared at least once, at least one of the numbers on the roulette wheel will have repeated 8 times. And it does not matter at what point you start tracking the numbers as long as you are tracking consecutive numbers. If you don't believe us, try it yourself and you will see. So although the distribution of numbers in the long-run looks smooth, in the short-term it is very uneven, and this unevenness can be exploited if you know and understand the probabilities, which is what we attempt to explain here. Another way to look at this "unevenness" in the short-run is to consider the average of all consecutive spins as a sequence increases. In the long-run, after many spins, this average will approximate 18, which makes sense since that is the actual average of 0 to 36: (0 + 1 + 2 ... + 35 + 36) / 37 = 18. But in the short-run, the average is all over the place, uneven, and therefore open to exploitation. Below are a few graphs of how the average of consecutive spins changes as you generate more spins (notice how in the long run, the lines look "smooth" as they level on 18, but in the short-run they are very rugged and far away from the red line representing the long-term average): The average of consecutive spins as more spins are generated     The y-axis (vertical) is the average of all spins up until that point, and the x-axis (horizontal) is the number of spins. The greatest volatility always occurs when you "zoom-in" on the first 37 spins (the green box) of any long sequence, which is no coincidence considering that that is the exact amount of numbers on a Roulette wheel. So it is at the beginning of a consecutive spin sequence that the game of roulette can be exploited to win because in the long run, as the sequence increases, the probabilities will catch up to us. The fact that a number will repeat itself 8 times before all other numbers of equal-probability appear at least once, and that there is so much volatility at the beginning of any sequence of average spins, hopefully shows you that there is more to the Roulette game than meets the eye. And we'll tell you something else that is quite revealing. You will never in your lifetime see all 37 Roulette Numbers come out in 37 consecutive spins even though they all have the exact same long-term probability of being spun. Try it yourself, but you will grow old and die before you ever see it. The game of Roulette is incredibly interesting and has several peculiarities and patterns such as the ones described above that can be exploited to win, but it must be analyzed methodically and played systematically if it is to be beaten. That is where the Proportional-Probabilities System comes in. This System's algorithm is based on the exact calculated probabilities of how many unique numbers appear in 37 consecutive spins. Predicting which numbers to bet on at any moment, based on these probabilities, is a mind-boggling task. That is why this System is a Computer Program, because with the aid of this Computer Program, you can do the necessary calculations in a blink of an eye and focus on execution and money management rather than complicated mathematics and probabilities. Several of you might not make it past this point because you find all of this very confusing (check out our beginner and intermediate systems if that is the case), but keep in mind that this Program tells you precisely when to bet, how to bet, where to bet, and why to bet. You just feed it the spins as they are generated, wait until it signals a bet, and then simply bet on the numbers it tells you. You don't think, you just execute. HOW IT WORKS Let's work through a simplified example to keep things uncomplicated to start off with. If you find the explanation below a bit dense and difficult to understand, do not worry because you do not need to fully understand it in order to use this System successfully just like you do not need to know how a Car engine works in order to drive it. Feel free to skim thorough this section if that is the case and keep in mind that the only thing you need to do to use this System successfully is press a few buttons based on the spins that have been generated as all the math is calculated "under the hood". That's always good news as it results in smoother gameplay. This program is based on the probability distribution of unique numbers in consecutive spins. Just to be clear, a unique number is simply a number that has been spun, counted only once regardless of how many times it has repeated in that particular sequence. So for example, if the numbers 0, 36, and 0 were spun on the roulette wheel, that would be 2 unique numbers (0 and 36) in 3 consecutive spins. Now let's consider a 10 consecutive spin example. To help illustrate, we ran 10,000 simulations and calculated the probability of how many unique numbers show up in 10 consecutive spins. In other words, we calculated the probability distribution of how many different numbers actually come out in 10 spins. This is shown below: Probability Distribution of Unique Numbers in 10 Consecutive Spins. Based on 10,000 simulations.
So for example, in the 10,000 simulations we ran, exactly 8 unique numbers (and 2 repeaters) appeared in 10 consecutive spins approximately 24% of the time (roughly 2,400 times out of 10,000 simulations). If you know the probabilities above, then you know that the probability of 8, 9, or 10 unique numbers coming out in 10 consecutive spins is simply the sum of their probabilities (confer above): 24% + 42% + 27% = 93%. In other words, 8, 9, or 10 unique numbers (e.g. 8 or greater) will appear in any consecutive 10-spin sequence 93% of the time (that's more than 9 out of 10 times, try it yourself in the interactive example above). Don't just take our word for it, try it out yourself by generating random sequences of 10-spins in the interactive example below and you'll see how roughly 9 out of 10 times either 8, 9, or 10 unique numbers will show up: Click here to get into the system: http://www.andruchi.com/advanced-roulette-strategy-proportional-probabilities-system.php So if in 7 consecutive spins, 7 unique numbers have appeared (e.g. no repeaters by the 7th spin), then the probability of at least one more unique numbers appearing in the next 3 spins (to complete the 10-spin sequence) is simply the probability of 8, 9, or 10 unique numbers appearing, which we already know to be 93%. In other words, if 7 different numbers come out in 7 consecutive spins, there is a 93% chance that at least one of the numbers that have not come up (e.g. a new unique numbers) will show up in the next 3 spins (until the end of the 10-spin sequence). So at that point, we could bet on all those 30 numbers that have not come out for the next 3 spins and we would have a 93% probability of winning. That is, in essence, the basis of the Proportional-Probabilities System (it's actually a bit more complicated as we will explain below). But what if in a 10 consecutive spin sequence, 6 numbers come out in 7 spins (e.g. one of the numbers repeated itself)? Would you take into account the 27% probability of a total of 10 unique numbers showing up in the next 3 spins when calculating the probability of success? Of course not because if only 6 unique numbers come out in 7 spins, then the maximum number of unique numbers that could possibly come out in 10 spins is: 6 unique numbers + 3 spins left = 9 unique numbers. So in this particular example, you would not account for the 27% probability of 10 unique numbers occurring in a 10 consecutive spin sequence since it cannot happen. So what do you do? Well, let's look at all the possible outcomes: there are only 3 spins left and there are 6 unique numbers that have been spun, so there are only 4 possible outcomes: 1) the next 3 spins repeat the last 7 numbers and we still end up with a total of 6 unique numbers, 2) the next 3 spins produce only 1 more unique number (and 2 repeaters), so we end up with 7 unique numbers, 3) the next 3 spins produce 2 more unique numbers (and only 1 repeater), so we end up with 8 unique numbers, or 4) the next 3 spins produce 3 more unique numbers (no repeaters), so we end up with 9 unique numbers. Notice how in scenarios 2, 3, and 4, at least 1 new unique number has appeared, which would be favorable to us since we are looking to bet on numbers that have not come out yet in a particular sequence. So to determine the probability of a new unique number appearing in the next 3 spins when 6 unique numbers have come out in a 7 consecutive spins, we simply get the proportional probability of all possible favorable scenarios where at least 1 new unique number is spun (in other words, 7, 8, or 9 unique number appearing in this case) over the probability of all possible scenarios (in other words, the unfavorable scenario of 6 unique numbers appearing plus the favorable scenarios of 7, 8, or 9 unique numbers appearing): (6% + 24% + 42%) / (1% + 6% + 24% + 42%) = 72% / 73% = 98.6%. So if 6 unique numbers come out in 7 consecutive spins, then the probability of at least 1 new unique number coming out in the next 3 spins to complete the 10-spin sequence is 98.6%. Again, don't just take my word for it, try it yourself in the interactive example below. See how often you would win if you bet whenever exactly 6 unique numbers come out in the first 7 consecutive spins (thus triggering a BET signal). Remember, you would be betting on the 31 numbers that have not come out by the 7th spin, so if any new unique number appeared in the next 3 spins (e.g. by the 10th spin), you would automatically win: Click here to get into the system: Likewise, in the original example, if 7 unique numbers came out in 7 spins, you should not account for the 1% probability of only 6 unique numbers coming out since it is impossible for just 6 unique numbers to come out if 7 have already come out. So again, you would have to calculate the actual probability as the proportional probability of all possible favorable scenarios where at least 1 new unique number is spun (that is, 8, 9, or 10 unique numbers appearing in this case) over the probabilities of all possible scenarios (7, 8, 9, or 10 unique numbers appearing): (24% + 42% + 27%) / (6% + 24% + 42% + 27%) = 93% / 99% = 93.94%. This represents the actual probability of a new unique number appearing in the next 3 spins if 7 different numbers have come out in the last 7 spins. The only problem is that you do not know at what point in the next 3 spins you will win, so you need to create a progression to ensure you profit if a new unique number comes out in any of the next 3 spins. You can therefore use a 3-step progression to bet on the remaining 30 numbers that haven't occurred in the last 7 spins. The 3-step progression you would require after the 7th spin of a 10-spin sequence with 7 unique numbers already spun and betting on all the 30 unique numbers that have not yet appeared is as follows (assuming you would be content with at least a $1 profit): Progression table for a 10-spin sequence with 7 unique numbers after 7 spins. Betting on 30 numbers.  The catch, however, is that with such a low spin sequence (e.g. 10 spins), you would need a restrictively large bankroll and table limit to ensure a successful outcome. To complete such a progression, you would need a table limit of $36 per number bet and a $1,290 bankroll. Most Casino's have a significantly lower table limit and most players have a significantly lower bankroll. Even then, who would risk $1,290 to win $6 even with a 93.94% chance of success? Your Expected Return (in dollar terms) would be: (.9394 * $6) - (.0606 * $1290) = -$72.54 So even if you could afford the bankroll and were at a Casino that allowed such a high table limit, your Expected Return is still negative so you would never make that bet. This is where the Proportional-Probabilities System comes into play. It considers 37 consecutive spin sequences and their respective unique number probabilities based on 10 million simulations for maximum accuracy as shown below: Probability Distribution of Unique Numbers in 37 Consecutive Spins. Based on 10 million simulations. (Numbers have been rounded.)
Click here to get into the system: The 37 consecutive spin table is a lot more interesting than the 10-spin example. Notice how in those 10 million simulations, there was never less than 14 or more than 33 unique numbers. In other words, in 37 consecutive spins, all 37 numbers will never appear (hence why we said on the previous page that you would die trying to see all 37 roulette numbers come out in 37 consecutive spins). Not only that, but in 37 spins, 23 and 24 unique numbers are most likely to appear (each about once every 5 sequences). Furthermore, with this information, we can give you one simple winning system:
The problem with that simple System is that you would have to wait a very long time for that event to happen as it is incredibly rare for 33 different numbers to come out in under 37 consecutive spins. Again, that is where the Proportional-Probabilities System comes in as it takes into account the shifting proportional-probabilities mid-sequence which exploit the table of probabilities above and leads to several favorable scenarios. Unlike with the 10-spin example, another advantage of a 37-spin sequence is that bets are normally triggered towards the end of the sequence where, on average, one would only have to bet on approximately half the table (e.g. 17 numbers instead of 30 like in the 10-spin example), reducing the bankroll required and extending the possibility of a successful progression. Even then, it only signals a bet when the Expected Return is positive and the Probability of Success is above 90% and then automatically calculates the required progression to help ensure success. Below is a typical progression table for a 37-spin sequence where 20 unique numbers have come out in 34 consecutive spins (e.g. 3 spins left to complete the 37-spin sequence; betting on the 17 unique numbers that have not yet appeared): Progression table for a 37-spin sequence with 20 unique numbers after 34 spins. Betting on 17 numbers.  The Probability of Success with this example is the proportional probability of the favorable scenarios with 21, 22, or 23 unique numbers divided by the proportional probability of all scenarios with 20, 21, 22, or 23 unique numbers (confer above): (8% + 15% + 20%) / (4% + 8% + 15% + 20%) = 91.49% This is calculated instantly and automatically by this System every time you enter a new spin. Since we do not know at which point in the progression we will be successful and since each step of the progression offers a different profit, we must again average the Profit column, giving us an Average Profit of $8.33. (.9149 * $8.33) - (.0851 * $68) = $1.83 Unlike with the 10 consecutive spin example, we now actually have a Positive Expected Return in this scenario. Considering that: 1) we have a positive Expected Return, 2) the units required in the progression are well below the table limit, and 3) the bankroll is very accessible, we would proceed to bet. Of course, this System calculates everything instantly and automatically - including the proportional-probabilities, progression table, and Expected Returns - from the spins you enter and signals a bet when appropriate, telling you exactly on what numbers to bet (which are simply the numbers that have not appeared by that point in the 37 consecutive spin sequence). That's what makes it so powerful. The fact that it only signals a Bet when the Expected Return is positive is very important because that is what ensures it wins consistently in the long run. So all you have to do is enter the spins as they are generated, wait for a Bet signal, and place the bets on the specified numbers. It is as simple as it is effective. Below is a screenshot of the PP system in action. The System is very simple to use and extremely accurate and effective. The only catch is that not every 37-spin sequence will trigger a Bet, although most will. However, using the program's Smart Clear feature will allow you to clear only the initial spins necessary to return to a positive scenario, taking advantage of the most recent spins already recorded, thereby dramatically speeding up the time it takes for a Bet to be signaled. In other words, the Smart Clear button allows you to use the end of a previous sequence as the beginning of a new sequence, instead of starting a new 37-spin sequence from scratch. Since the Probabilities of Success given are not some random made-up number, but a mathematically-derived probability based on actual outcomes in 10-million simulations of 37-spin sequences (we've confirmed this in our tests), the player knows precisely what chance they have of being successful on any given bet signal. Since they will rarely encounter a 100% Probability of Success, you need to allow room for losses. However, considering the fact that you are always placing bets when a positive Expected Return is given and the Probability of Success is 90% or greater, then the winners will more than compensate for the losers and you will be winning in over 9 out of every 10 Bet signals, resulting in consistent long-term profitability, and a winning system by definition. A REAL-WORLD EXAMPLE Now let's run through a real-world example of the PP system in action. Click on the images to enlarge them and focus on the small details of the program in order to fully appreciate what is happening. Before the Trigger Spin Before a Bet signal was triggered, there were 5 spins left in the sequence and only 20 unique numbers had shown. Although the Probability of Success was positive and the Max Units Allowed by the table (e.g. the Table Limit) was high enough to cover the progression, the Expected Return considering a $272 bankroll (e.g. potential loss) was negative and therefore a Bet signal was not triggered.  The Trigger Spin Then came number 28, the 33rd spin in this 37-spin sequence.  The Bet Signal We entered the number 28 in the program by clicking on the "28" button in the INPUT pad. Now, with only 4 spins left and a 4-step progression requiring only a $136 bankroll, the 94.64% Probability of Success was enough for a positive Expected Return. (Feel free to double-check this by manually calculating the Probability of Success, Expected Return, Progression, and Bankroll Required based on the spins entered.) As a results, a Bet signal was triggered and we locked the results for execution, focusing on the numbers to bet on in the OUTPUT table.  The Actual Bet We then proceeded to bet $1 units, as was shown in the progression table, on the numbers displayed in the OUTPUT table. Confirm this on the Roulette table below and you will see that it matches the OUTPUT table above precisely.  The Win The 94.64% Probability of Success proved to be correct and number 31, a new unique number we had bet on, was spun next, awarding us a quick $19 profit as calculated by the Progression Table and as evidenced below in our balance, bring us from $15,000 to $15,019.  As can be witnessed from this example, although complex in its calculations, the PP system is very simple to use, intuitive, user-friendly, and highly effective. It is also customizable, allowing the user to change the Table Limits and the Minimum Profit the user is willing to accept even after a Bet signal has been given to see how the variables will change. If you would like a more detailed explanation of all the individual features of the PP system, please click the screenshot below to enlarge it and read through the help bubbles to get a better understanding of the program's features:  The engine that calculates everything is extremely efficient and very quick as we have tested it extensively on our end and did not just take the author's word for it. Simply enter the spins, as they are generated, into the INPUT pad, wait for the BET signal, then place the bets on the numbers shown in the OUTPUT table using the Progression specified in the PROGRESSION TABLE. It really is that simple. To make our Roulette System more accessible to everyone, we are giving it away to a select group of people free of charge. We have a monthly quota of people we can admit to the program, and if you are selected, you will be required to share 25% of the profits you earn with the PP System. That way, instead of paying for our System before you use it, you get it for free and only have to pay us after you have started winning with it, so we only earn after you have earned. We are trying this out because we are not only very confident that our System works, but that it is simple enough for everyone to use, and if we can have an army of users winning with our System, then we will earn a lot more money than simply selling it, while at the same time giving more people an opportunity to use our System. It's a win-win. So if you are interested in receiving our System for free, please fill out the form below and we will let you know if you have been accepted (we do not and will not share your e-mail address with anyone as are private individuals ourselves and we fully respect other people's privacy). If you are accepted, you will be granted a risk-free trial of the System before having to commit to the project. Once we prove to you that our System works exactly as described above, you will have to prove to us that you are serious and committed about this opportunity and have the time and money required to be successful before being granted access to the FULL version of our System.
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Wow! This is really nice :) Nice pictures you got here. Advanced Roulette Strategy - The Proportional-Probabilities System.
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