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Free Roulette Systems RECOMMENDED: Download a FREE Roulette System That Works at www.RoulettePhysics.com Below are a collection of various free roulette strategies and tips. Don’t expect there to be anything that actually works in the long term, but at least this gives you an idea of what others have tried, so you don’t need to waste time. Free Roulette System PART 1 - roulettephysics.com This method is called visual ballistics, and often referred by casino staff as “advantage play”. If you really wan to know what works, it is wise to consider what the casino professionals themselves say. I’m not talking about some dealer that spins the ball and knows nothing. Free Roulette Games - Getting to Grips with the Rules. As online casino games go, free roulette is one of the easiest to learn, and amongst the most fun for both new and experienced players to play. Among all the free roulette systems that work, the Holy Grail is also ideal for winning in the long haul. A few roulette players see it as a safe and secure system, although it sounds like the Martingale. It is also a progressive system, but does not require the player to double bets. It follows a simpler betting progression.

By Ion Saliu, Founder of Roulette System Science

Free Winning Roulette System #1

The free system I will present now is not included in the licensed strategy package. As I explained many times, I give away freebies when I am certain I have far better systems, strategies, or software. On the other hand, I received several requests to give more details on how my systems work and what makes them tick. The predominant opinion is that nobody can play roulette for a profit consistently. Here is just one proof to the contrary. This is a real thing: a winning roulette system. There is also real life data to back it up. The skips presented here are collected from the Hamburg, Germany casino (first week of February, 2000).

A diligent, disciplined player can make a weekly profit by COVERING ALL THE NUMBERS BUT FOUR PLAYING NO MORE THAN 10 SPINS A DAY.The four numbers discarded of are the last four spins. You wait patiently, not playing, until the following event occurs. When one of the last four numbers hits again, you get ready to play.

You cover all the numbers (0 and 00 including) but the numbers in the last FIVE spins (four numbers to play, because one is a repeat). You place 34 2-unit straight-up bets. Chances are you will win most of the time. Next spin, you make the same bet, using now three units per number (you are using some casino money). The first time you won 38-36=2 units; 2 units times 2 = 4 units profit. The second time: you won 2 units x 3 = 6 units.Total profit per two plays: 10 units.

Things are not always like this. Handy Brandy could lose sometimes the first bet. It happens very rarely, but one of the last four numbers will hit again in consecutive sequence. In most cases, Handy Brandy wins two times in a row without any of the last four numbers repeating. He goes immediately to another table. He knows that the 'long run' kills the casino player more than anything else.After winning at the second table too, Handy Brandy usually cashes out. He runs out of the casino. Sometimes he might try doing the same things at the third table, but never more than winning at three roulette tables. The player will do the same thing the next day at a different casino and again at another casino...

Here is illustrative data from the Hamburg casino (Spielbanken). The following figures do NOT represent roulette numbers, but SKIPS. The skips, as in the frequency reports on the main roulette page, represent the number of spins between hits. I had received several complaints before this clarification. Even self-declared experienced roulette numbers believed that 57 below was a roulette number! Therefore what a gambling nut we was!

9 5 57 17 30 18 0 3 13 25 6 0 4 17 2 24 0 4 3 15 13 8 21 2 23 2 6 7 7 10 3 3 17 10 15 11 1 15 3 1 24 11 10 2 3 13 6 12 3 3 24 6 10 21 4 8 9 8 10 5 3 11 3 9 9 3 1 0 20 7 21 7 18 6 0 17 4 13 5 2 6 16 0 2 4 0 7 0 7 1 8 1 8 7 1 5 4 12 3 0 10 1 29 28

A figure such as 57 represents the skip of a particular roulette number. That particular roulette number (the 3rd most recent in our database) hit after 57 spins. That is, if we look at index 57+3 in our database, we'll find the same number again. Zero in the string above does not represent the 'green 0' (roulette number 0). It means that a particular number hit two spins in row, or hit in two consecutive spins. Couldn't be clearer now. This page has been written by addition, rather than from the ground up. I added instead of editing and rewriting the material from top to bottom. The page also shows my growing in my linguistic English shoes! It is also clear that a force inside fights me from being too clear! No gambler has ever been more generous with his/her secrets than me!

The roulette program SPINS offers the best graphical representation of this free system. Page down to the end of the frequency report. The report of interest is named 'Play all the numbers except for the last 5 spins'. The report also recommends playing immediately following two consecutive misses (indicated by the – sign). SPINS version 3.0 is available from the FTP downloads site.

You only play at the points marked 0 (zero). That's when one of the last four numbers repeated. You will play as above the next 3 points where the skip is zero. In many cases, it's after the third win in a row when you can encounter a string like 0 0. When that happens, you will lose 34x2=68 units. (It did not happen in the real case illustrated above). You improve your chances further when you leave after you won at three tables. You should expect to lose once a week.
• Version 2.1 of SPINS analyzes real casino spins, in addition to analyzing randomly generated spins. Most importantly, the program reports on the free system presented above. The strategy is improved a little bit. The system excludes now the numbers from the last 5 spins (instead of 4)! According to the strategy, it is recommended to play after 2 consecutive '-' in the 'Result +/-' column.

There are several reasons why I receive questions regarding my free roulette system. It is not fully clear to but a few how to use it. My intention was not to present a step-by-step casino strategy. My primary intention was to show, to prove that roulette can be beaten mathematically. Most people, including many gamblers, have a hard time understanding mathematics. This simple system, as all my gambling/lottery strategies are based on math.

• Ion Saliu's Paradox and Roulette

Ion Saliu's Paradox of N Trials is presented in detail at saliu.com, especially the probability theory page and the mathematics of gambling formula. If p = 1 / N, we can discover an interesting relation between the degree of certainty DC and the number of trials N. The degree of certainty has a limit, when N tends to infinity. That limit is 1 — 1/e , or approximately 0.632...

Axiomatic one, if you play 1 roulette number for the next 38 spins, common belief was that you expected to win once. Not! Non! Only if you play 38 numbers in 1 spin, your chance to hit the winning number is 100%. Here is an interesting table, which includes also The Free Roulette System #1 presented at the main roulette site.

The maximum gain comes when playing 38 numbers in one spin: 36.3%. Obviously, it makes no sense to play that way because of the house advantage. On the other hand, a so-called wise gambler is more than happy to play one number at a time. What he does is simply losing slowly! Not only that, but losing slowly is accompanied by losing more. That cautious type of gambling is like a placebo. A roulette system such as Free #1 scares most roulette gamblers. 'Play 34 or 33 numbers in one shot? I'll have a heart attack!' In reality, the Free System #1 offers a 28.8% advantage over playing singular numbers in long sessions. That's mathematics, and there is no heart to worry about.

You can also use SuperFormula to calculate all kinds of probabilities and advantage percentages. The option 'L — At least M successes in N trials' is a very useful instrument. If you play 19 numbers in one spin, the probability to win is 50%. If you play 19 numbers in 2 consecutive spins, the probability to win at least once is 75%.

• • Relation of the Birthday Paradox to roulette
The connection between the Birthday Paradox and the game of roulette is extraordinarily appealing to some gamblers. Unfortunately, the appeal has a thin mathematical foundation. The roulette game draws one and only one number at a time. The birthday paradox requires at least two elements. 'At least two persons in a room…', etc.

If the roulette would draw 10 numbers at a time, the probability would be 72.7% that at least two of the numbers would be equal to one another (i.e. duplicates). But even if the roulette game would consist of 10 spins at a time, the birthday paradox would have nothing to do with predicting the numbers. Some gamblers make the following illogical connection. If I consider 10 roulette spins at a time, in 72.7% of the cases, at least two of the numbers will be repeats. So, if I play the last 10 numbers, the chance is very good (almost 3 out of 4 cases) that one of the numbers will repeat next! Wow! That would bankrupt every casino on the planet in a few days! If the 'strategy' would hold true, the probability would rise to 99.8% that the next spin will repeat a number from the last 20 spins! Virtually, play the last 20 numbers and win every time. The cost is 20 units, the payout is 36 units, therefore that player would make a profit of 16 units in every play!

The cold truth is that the famous and appealing Birthday Paradox merely shows the percentage of sets with duplicate elements in the total elements of an exponential set. That's all. So, unsuspecting roulette enthusiasts do NOT rely on the birthday paradox when playing roulette with real money. If you do, don't ask me for a refund later! Mathematically, it is correct to expect that one of the numbers in the last 26 spins will repeat next with a better than 50-50 chance. It is the median skip calculated by the Fundamental Formula of Gambling. Real life roulette spins and randomly generated roulette numbers validate this law — always.

I did check, however, several roulette tables in Atlantic City, 2004. I did not find a single roulette marquee showing unique numbers only. Out of 15 numbers, some were repeats — from 3 to 7 repeat numbers. Problem is, the skips between Birthday Paradox situations reached 8 spins sometimes! Probably some players wait for 5 or 6 or so skips and then apply the Birthday Paradox. The average amount of unique numbers to play is 12. Must win in two spins to make a profit.

The relation to the Free System #1. What is the probability that two randomly drawn roulette numbers (spins) will be the same in a group of 5 roulette numbers? It is a 'birthday paradox' with 38 'birthdays'. Instead of 5 persons, we deal with 5 randomly drawn roulette numbers. The probability of at least two 'collisions' (coincidences, or repeats) is: 24%. It must be scary for the players of the Free System #1! Fortunately, the roulette wheel does not draw 5 numbers at a time. The reports of Roulette show you a more optimistic story. The reports are validated by real-life roulette spins, in a real-life casinos.

Free Winning Roulette System #2

An alleged kasino executive made me kick him out and also 'fix' the ill-fated James Bond roulette system. He posted on my message board with the intent to intimidate my guests.

The Bondish system is based on the first two douzaines: play together 1-12&13-24. The scheme can be extended to any '2-1' bets. I offer the power of the standard deviation to improve James bond fictitious system. You can start with my probability software SuperFormula, option 3 (Standard Deviation). You can also use as a training tool my casino program SPINS.
The free system #2 is presented in the article:
• The James Bond roulette systems in the Taliban Desert - Ion Saliu's response.
By the way, if your bankroll is smaller, you can apply this system in 50-spin sessions.

One more tip. It is possible for a two-dozen (two-column) group to hit more than seven times in a row; or, more than seven out of 10 times. If that happens, you rode a very favorable standard deviation tide. Cash out immediately and move to another table!

My message and the system were provoked by an alleged casino top executive.
'I am currently the Chairman of the MGM Grand Casino, and I was advised of this site by way of a memo sent to me.'

In a way, the alleged executive's message is an endorsement of my systems. If the systems were not valid, why bother to risk being rear-end kicked by an understandably angered author? I want to stress again that the casinos have no legal grounds for banning record keeping by the players. Record keeping is also a requirement of tax laws. The rules of private entities do not take precedence over the laws.

First, I could not believe that a real casino executive would commit what I consider a serious mistake. I thought the message was from one of the frequent visitors to my web site. Some of them believe they know my psychology well enough to get free systems from me. Indeed, there were moments when I debated with valuable ideas, even systems, IF I was provoked. That's how the free system #1 came to life as well. I am aware of such tendency now and I believe I have it under control.

In any event, the damage was done. The free roulette system #2 is absolutely founded. It will give the player and edge, without a doubt. I have checked for thousands of spins, broken down in 100-spin sessions. There are clearly two situations.

One, the player wins 65 or FEWER spins; it is a losing session. The player counts 100 spins. The player started with 100 chip-units. At the end of the session, the player counts 61 units. The result was under the standard deviation. Remember to increase the bet the next session.

Two, the player wins 66 or MORE spins; it is a winning session. The player counts 100 spins. The player started with 100 chip-units. At the end of the session, the player counts 69 units. The result was above the standard deviation. Remember to decrease the bet the next session.
The fluctuations are mathematical, considering the game is totally fair. In a cyber-casino, for instance, the fluctuations go mostly in the favor of the house. The house has to win above the standard deviation, always! Or especially when player's bet is high! That's anything but fairness!

This system does not even require strict record keeping. The player can just put aside a chip for each session played, and for each 10-spin groups.

Roulette: Software, Systems, Super Roulette Strategy

See a comprehensive directory of the pages and materials on the subject of roulette, software, systems, and the Roulette Super Strategy.
• Theory, Mathematics of Roulette Systems, Strategies, Software.
• The Best-Ever Roulette Strategy, Systems based on mathematics of progressions and free-for-all
• An inventory of free and outrageously pricedroulette systems.
• Probability, Odds to Win Roulettein Various Number of Spins: To Be Ahead and Quit.
• Roulette Software, Systems: Wheel Positioning (Slots, Sectors),Birthday Paradox.
• The James Bond roulette system in the Taliban Desert.
• Roulette Systems, Threats From Casino Chairman.
• Anti-gambler advice from John Patrick, casino mole extraordinaire and conspirator.
• Wizard of Odds Had High Praise For Ion Saliu's Gambling Theory.
• Casinos pay troubled individuals to intimidate intelligent gambling system authors.
• Download Software: Casino Gambling, Roulette, Blackjack, Baccarat, Craps.

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Free Roulette Systems That Work Instantly

By Ion Saliu,
Founder of Gambling Science, Spin Doctor in Roulette Mathematics

I. An Act of Napster-Like Piracy Makes the Super Roulette Strategy Freeware
II. Mathematical Roulette Systems Based on the Fundamental Formula of Gambling (FFG)

• A. Mathematics of Super Roulette Strategy
• B. Roulette Systems: Probability = 2/3
• C. Roulette Systems: Probability = 1/2
• D. Roulette Systems to Avoid

III. Roulette Software, Actual Casino Spins to Analyze and Test Systems
IV. Roulette, Gambling Resources, Software, Systems, Strategies

I. An Act of Napster-Like Piracy Makes the Super Roulette Strategy Free

The definitive version offered in 1999; first capture by the WayBack Machine (web.archive.org) on December 12, 2005.

• I was shocked to learn (2005) that a licensed roulette strategy I sold in 2000 became freely available as the music at Napster in the past. At least one guy collected over 300 roulette systems and made them available to everybody.
• I discovered three of my roulette systems. The first one, Handy, was formerly named Handy-Brandy. It is now known as the Free Winning Roulette System #1.
• The Licensed roulette system and Limited are one and the same. It is that old roulette strategy I sold in 2000 to a limited number of people. Many of them did not deserve my generosity. I suspect, most of them were casino moles and/or disgruntled gambling authors who sell fraudulent roulette systems.
• I decided to make the formerly licensed roulette strategy available as freeware. It is an act of justice. The pirates already possess my systems illegally. Let also honest people get to know, and certainly use, my super roulette strategy. My act is an equalizer. If the roulette winners with my systems want to be generous, in addition to being fair, I won't mind!

Most of the gambling roulette systems I saw pile up to nothing more than junk. Very few strategies have some value by just touching mathematics. Surprise, surprise — I saw also Powerplay Roulette on the list! Remember the gambler named Chip who caused some disruption at this Web site? 'Chip Casher' said that Power Play Roulette System sold for some $5,000 (five thousand US dollars!)

• If PowerPlay Roulette System sells for $5000, then my Super Roulette Strategy must be worth at least $50,000!
• If Don Young's Roulette System sells for $10,000, then my Super Roulette Strategy must be worth at least $100,000!
• If Intrinseca Ludica Roulette System sells for $10,000, then my Super Roulette Strategy must be worth at least $100,000!
• If Epocal Storm Roulette Strategy costs gamblers $40,000, then my Super Roulette Systems must be worth one million dollars ($1, 000,000)!
• Actually, if any roulette system/strategy/method sells for just $100, then my Super Roulette Systems must be worth at least $100,000!

No exaggeration! Let them take me to court, if they wish or dare — I'd make the same statements and produce compelling evidence! Better still, I suggest you take my statements to the bank! By the way, I licensed my Super Roulette Strategy for only $100 back in the year of grace 2000! No wonder (some of) the gambling suckers I sold my super systems to reacted cutthroat-like against me. They wanted me to STOP licensing my roulette systems!

Here is a long list of roulette systems saved for future reference. I can't believe how much fraud there is! I am suspicious and say it again: Only the casinos would be so fiercely aggressive and sell roulette and gambling strategies priced from US $5000 (five thousand) to US $40000 (forty thousand)! No individual gambling system developer would be thus fearless and dare to sell such outrageously priced casino gambling systems! It could turn deadly for him! Read this page:

• An inventory of free and outrageously pricedroulette systems.

II-A. Mathematics of Super Roulette StrategyMathematical Roulette Systems: Super Roulette Strategy version 3.0
(C) Copyright 1999-2000 Ion Saliu. All rights reserved

(as it first appeared on paper).

• The roulette systems in this collection are based on The Fundamental Formula of Gambling (FFG). The FFG is presented in detail on my Web page Gambling Formula: Degree of Certainty, Probability, Mathematics, Chance. You can download the page and print it. Although you do not need to memorize it, FFG can help you a great deal in better understanding these systems. The Formula, if understood well, can make clearer that probability events (or random events, or gambling) actually follow precise rules.
• The infamous gambler's fallacy is, in itself, a mathematical absurdity. In a nutshell, the fallacious fallacy warns that the losing streaks can be indefinite while the winning streaks are non-existent. My probability software Streaks undeniably probes that all streaks, win or loss, follow mathematical formulas. There is bias to the left (L) or bias to the right (W), but at the end of the day every streak occurred according to theory of probability.

A) The probability p for a single zero roulette game is: p = 1/37 = 0.027.
We apply the Fundamental Formula of Gambling to one value of DC (degree of certainty): 66.6% (or 2/3, 2 out of 3 cases). For DC = 66.6%: N = 40.4 (rounded up to 41 spins). There is a 66.6% (2 in 3) chance that each roulette number will repeat after 41 spins. Equivalently, there is a 66.6% chance that the next spin will be a number that also appeared within the last 41 spins.

B) The probability p for a double zero roulette game is: p = 1/38 = 0.026.
We apply the Fundamental Formula of Gambling to one value of DC (degree of certainty): 66.6% (or 2/3). For DC = 66.6%: N = 41.5 (rounded up to 42 spins or 41 for single-zero wheels). There is a 66.6% (2 in 3) chance that each roulette number will repeat after 42 spins. Equivalently, there is a 66.6% chance that the next spin will be a number that also appeared within the last 42 spins.

The accompanying roulette program SuperRoulette simulates spins for the double-zero roulette game in order to cover the worst-case scenario. We'll use now only the final part of the report. After a very large number of spin simulations, the 42-spin value confirmed FFG. Also importantly, even smaller number of roulette spins confirm FFG for a DC = 66.6%. Let's use the Fundamental Formula of Gambling with confidence. That's what formulas are for.

We'll use this number (42) in correlation with limited-steps Martingales (bets based on a Martingale progression). Basically, Martingale represents a gambling betting method. It doubles up the previous bet until the last step of the betting. For example, a 4-step Martingale using a one-unit bet follows this path: 1 unit; 2 units; 4 units; 8 units (step 4, end of betting). Don't worry about using a Martingale: the Formula makes Martingale a closed betting gambling system (a system with a limited number of steps).

• What you need is a notebook and a pencil. Write down the last roulette spins, from the oldest one available to the most recent spin. Do not start playing until you have at least 42 spins on your piece of paper. I prefer a small notebook with 20 rule lines. Multiples of 10 or 20 make it easy to count quickly the number of roulette spins. Use the roulette report that follows as the template (rows and columns).

The win/loss WL streaks report was generated by the gambling software Super Roulette, available to all registered members of this Web site.

The column Last 26 Roulette Spins reflects a DC (Degree of Certainty — see FFG, Fundamental Formula of Gambling) of 50% (it is 25 for single-zero casino roulette wheels). In half the situations, the next roulette number would have also appeared in the previous 26 spins. I decided not to use a betting system based on a DC = 50%. The losing streak can reach sometimes 10-13 spins in a row. Also, the losing/winning streaks are far more irregular. Instead, I chose to base my gambling betting systems on DC = 66% since the winning/losing streaks are a whole lot more manageable.

SYSTEM 1: Applies to Report Column Last 42 Roulette Spins.
The degree of certainty is 66.6% that the next spin will be a number that also appeared within the last 42 spins. In most cases, there are 25-26 numbers to play, since some numbers are repeats. The advantage of this system: the losing streaks (L or -) are far shorter, more regular, and less frequent.
From the opposite viewpoint, the winning streaks (W or +) are far longer, more regular, and more frequent. We can play a more efficient and safer Martingale.

First, we need to keep a good record of the spins. We (you, if you will) need to make the record accurate and easy to read. AFTER the spin # 42, write down + or W if the number was a repeat from the last 42 spins; or - or L if the roulette number was not a repeat from the last 42 spins. Also, keep writing the numbers drawn. You'll write two rows such as:
16,11,16,15,20,36,28,32,19,28,13,24,2,16,23,31,10,19,27,8,26,27, 00,19,16,12,36,18,9,8,30,6,14,17,25,12,8,3,17,18,10,13,| 7,14,2,19,7,24,32,2,25,11,13,29,17,25,25,14,26......... (1st row!)
-- keep a few empty lines for more spins ---
-++++++++-+-+++++ (2nd row)

The bar | after #13 marks the start of the betting for System 2. The first number drawn after you marked the start of the betting is 7. It does not appear among the previous 42 spins, so you write a - in the streak column. I prefer +/- rather than W/L because I can visualize easier the winning/losing streaks. The next operation is to write another bar after 16. It will make it easier to figure out the current 42-number roulette block. In this example, it will be between 11 (the number following 16) and 7.

The next number drawn was 14, which appeared also in the previous 42 spins. Write a + in the streak column. Write another bar after 11. The new 42-number block will span between 11 and the 14 just drawn.

So, you always write down the very last number drawn and move the marking bar one number to the right. This way, you don't have to count the previous 42 spins. Place your chips on the numbers between the two bars marking the latest 42-number block. Of course, some numbers are repeats, so you only need to play each number once. In most cases, you'll only play 26 unique roulette numbers (sometimes 24, sometimes 27).

II-B. Roulette Systems Based on p = 2/3 (close to 66.6%)

S1.1: Applies to Report Column: Last 42.
It is very rare that there are more than two consecutive groups of LL or longer than 2L. Therefore, at the end of the 2nd LL or longer streak we'll bet 1 unit on all the numbers drawn in the last 42 spins (24-27 numbers to cover).

In most cases, we'll win right away. If not, we wait for the next LL or longer streak. We'll use a power-3 Martingale: 1-3-9-27 etc. When the LL streak ends, we'll bet 3 units on all the numbers drawn in the last 42 spins. It may be even less frequent to encounter another LL or longer streak. If it occurs, we may regret if we didn't continue the Martingale with a 9-unit bet!

S1.2: Applies to Report Column: Last 42.
In reverse, we can bet on W groups longer or equal to two (WW, WWW, WWWW, etc.) Now, we wait for two consecutive groups of single W.At the next W (after an L) we bet that it'll be another W. In most cases, we'll win right away. If not, we'll bet 3 units at another W after an L.

°° The safer variations on the last two roulette betting methods. We can wait for three single W groups and bet directly $10 or $20 at the very next W after an L. There is no such an occurrence in the report above. It might occur, albeit rarely. We can wait for three LL groups (2L or longer) and bet directly $10 or $20 at the very next L after a W. There is no such an occurrence in the report above.

Variations

* You can also bet directly $10 (or 2 units) after the second L in an LL roulette sequence.
° Or, we can bet directly $20 (or 4 units) after the third L in an LLL sequence.

What would the cost amount to? $10 x 26 numbers = $260.
The winning: $36 x 10 = $360.
Profit: $100.

Based on the Fundamental Formula of Gambling, these are the streaks for a probability p=0.666. The degree of certainty DC is 95% that the losing streaks will be no longer than 3 (LLL). The degree of certainty DC is 99% that the losing streak will not be longer than 4 consecutive losses (LLLL).

The chance of coming across 3 consecutive LLL groups is :
5% (0.05) to the power of 3 = 0.000125 (1.25 in 1000).
The chance of coming across 3 consecutive LLLL groups is :
1% (0.01) to the power of 3 = 0.000001 (0.001 in 1000).

The 66.6% probability offers a tremendous advantage over probabilities around 50%. First and foremost, the losing streaks are definitely shorter. There is a 99.9% degree of certainty that the losing streak will be no longer than 6 when p=66.6%. That can make possible to use an intelligent Martingale after a second or (more safely) third loss in a row (LL or LLL). In 999 out of 1000 roulette spins, the L streak will go no longer than 6. Therefore, a Martingale will go no longer than 4 or 5 steps. That is perfectly manageable within the minimum/maximum ratios at the roulette tables.

Secondly, the winning (W) streaks are definitely longer than the losing (L) streaks. It is very rare that two groups of single W will not be followed by W streaks longer than two (WW, WWW etc.). We can reverse the Martingale technique presented above. After the second single W (such as LWLLWL) we'll start another 4 or 5-step Martingale.

We should also expect (high expectation, indeed) that W streaks of 4 or longer are common. Therefore, if we do not see such W streaks in the last 3-4 W streaks, we should bet they will occur soon. If there is a W/L string such as WWLWLLWLWWLLW I can bet there will be another W, and another one.

* The disadvantage of the roulette systems based on p=2/3: the use of a power-3 Martingale: 1-3-9-27-81.
The Roulette Systems based on p=1/2 applies a power-2 Martingale: 1-2-4-8-16...

These roulette systems are a variation of SYSTEM 1, based on the 66.6% degree of certainty. At the same time, they are a reply to the fictitious roulette 'system' presented in the James Bond novels and films. No doubt, the author of the James Bond novels, Ian Fleming is a person with a strong interest in roulette. He noticed what I presented above: the winning streaks tend to be longer than one (WW or longer) for degrees of certainty above 50%.

Fleming, however, has no clue on the mathematical foundations of such occurrences. James Bond plays 1-12 AND 13-24, betting large amounts of money. Since it is fiction, James Bond always wins at the roulette table! Now, if any person in this world will walk to a roulette table and place bets on 1-12 AND 13-24, he/she will win a 2-to-1 payoff 65% of the times at French roulette (64% playing American roulette).

In other words, if you would play this way at any roulette table three times in a row, you will win a 2-to-1 payoff two times (not necessarily twice in a row). You will also lose once, roughly. That's a far cry from the 100% winning insinuated by Fleming in his book Casino Royale.

You should never, ever play in that manner at the roulette table! You should enter the game at favorable moments, as presented in SYSTEM 1. When such favorable moments occur, get ready to use a limited-step Martingale (no longer than 4 or 5 steps). The betting sequences are 1-3-9-27 etc. This is determined by the 2-to-1 payoff when playing 12 roulette number groups (douzaine in French).

When using this betting plan, you are only allowed to place bets on numbers 1 to 36. You are not allowed to include 0 (or 0 and 00) in the groups of numbers you bet on. The 36 numbers can be divided into three groups: A (1-12 and 13-24); B (1-12 and 25-36); C (13-24 and 25-36). Each of the three groups (A, B, or C) has an equal probability: p = 64% (in the American roulette) or p = 65% (in the French roulette). The two probabilities are very close to the degrees of certainty we used as the foundation of SYSTEM 1 (66.6%). Consequently, we will encounter virtually the same composition of the W and L streaks.

SYSTEMS 1.3, 1.4, 1.5 do not require a long tracking session at the roulette table. The table will show the last 20 spins, so you can start betting immediately. You can choose to play only one of the three double-douzaine groups: A, B, or C. Or, you can play two of the groups, or all three groups. It is best, however, to keep track of all three groups. Only one of the three double-douzaine groups will have a stronger advantage over shorter tracking sessions.

We apply the same betting principles presented in SYSTEM 1. The structures of the W+/L- streaks are very close to the W+/L- strings encountered in SYSTEM 1. Keep in mind this mathematical rule. When the probability p is significantly above 50% (10%+ above 1/2), most of the winning streaks (W+) are two in length or longer (WW, WWW, WWWW, etc). On the other hand, most of the losing streaks (L-) are singles (LWWLWLWWWLLWLW...). When betting, we know that only rarely will we encounter:

° More than three consecutive groups of LL or longer (LLL, LLLL ...). Using the +/- notation and a real report generated by SuperRoulette, a W/L streak looks like this: ++-+++--+--+++--++-+
You can see three consecutive groups of LL (--). The very next L group was single (-), ending the L streak longer than or equal to 2.

° More than three consecutive groups of single W+. Using the +/- notation and a real report generated by Super-Roulette special program, a W/L streak looks like this: --+++++----+-+---+++
You can see two consecutive groups of single W+. The very next W group was longer than 2, ending the single W+ streak.

Based on the two probability facts, we can devise two betting methods. They are similar to the methods described in SYSTEM 1.

S234.1: We check to see which of the groups A, B, C has two or more consecutive groups of LL or longer. At the end of two consecutive groups of LLW or longer (LLLW, LLLLW, etc.) we place one unit bet on a douzaine and another unit bet on the other douzaine of the A, or B, or C group. Let's look at a practical example. Group A has had the following streak: ++-+++--+--+++--++-+, or using the W/L notation: WWLWWWLLWLLWWWLLWWLW

You can notice three consecutive LLW groups. The second group is LLWWW; then an L (or -) follows. You start betting right there, after the first L. You know that there is a high probability to get a single L. In this example (a real case, though), you lost your roulette bet. The first L was followed by another one.

The L streak ended with WW. Another L follows. You start betting again after that first L. The probability is even higher now for L to be single (that is, it will be followed by W). Bet now 3 units on the first roulette douzaine of the group and 3 units on the other douzaine of the group. In this case, you won a 2-to-1 bet. You won 3 x 3 units = 9 units. Your cost was 3 units + 3 units = 6 units. The net gain is 3 units. But you lost the previous bet: 1 unit + 1 unit = 2 units. Deducting 2 units from the gain above, your final gain is 1 unit.

S234.2: We check to see which of the groups A, B, C has two or more consecutive streaks of single W.
At the end of two consecutive groups of WL we place one unit bet on a dozen and another unit bet on the other dozen of the A, or B, or C group.

Let's look at a practical example. Group A has had the following streak: --+++++----+-+---+++, or using the W/L notation: LLWWWWWLLLLWLWLLLWWW. You can notice two consecutive LWL groups (isolated W or +). The second group is LWLLL. Then a W (or +) follows. You start betting right there, after the first W. You know that there is a high probability to get a W longer than one (WW, WWW, etc.). In this example, you bet $10 + $10 (after that 1st W) that another W will follow. It actually did happen, so your payoff was $30 ($10 profit).

If it did not happen (as in case S234.1 above), you would continue with a double-up base-3 bet: $30 + $30 = $60. In by-far-most cases, you will win a $90 payoff. The profit would be:
$90 - $60 - $20 = $10.
Do not fear reality. If you lost again, you would continue with a double-up base-3 bet:
$90 + $90 = $180. In the most cases, you will win a $270 roulette payoff. The profit would be:
$270 - $180 - $60 - $20 = $10.
You can still lose another step and double-up within the roulette table maximum bet. Losing that many steps in this manner is so extremely rare, that it may take to play the roulette for many, many thousands of spins in a row.

•• The safer variations on the last two betting methods.
We can wait for three single W groups and bet directly $10 or $20 at the very next W after an L.
We can wait for three LL groups (2L or longer) and bet directly $10 or $20 at the very next L after a W.

Variations

* You can also bet directly $10 after the third L in an LLL sequence.
* Or, we can bet directly $20 after the fourth L in an LLLL sequence.

II-C. Roulette Systems Based on p = 1/2 (close to 50%)

We apply the Fundamental Formula of Gambling to a value of DC (degree of certainty): 50% (or 1/2).
For DC = 50% => 25 (rounded up to 26 spins). There is a 50% (1 in 2) chance that each roulette number will repeat after 26 spins. Equivalently, there is a 50% chance that the next spin will be a number that also appeared within the last 26 roulette spins.

I was reluctant to recommend roulette systems based on p=1/2. People may be tempted to use Martingales that a losing streak will end within 4 or 5 steps. Please do not do that: A losing streak can reach 13-15 spins at times, albeit rarely! Instead, I will show you a more intelligent type of betting. They are similar to the systems in category 1. They also use a power-2 Martingale: 1-2-4-8 since the payoff is 1-to-1.

S2.1: It is very rare that there are more than three consecutive groups of LL or longer than 2L.
Therefore, at the end of the 3rd LL or longer streak we'll bet 1 unit on all the roulette numbers drawn in the last 26 spins (17-20 numbers to cover, 18 in most cases). In most cases, we'll win right away. If not, we wait for the next LL or longer streak. We'll use a power-2 Martingale: 1-2-4-8 etc. When the LL streak ends, we'll bet 2 units on all the roulette numbers drawn in the last 26 spins. It may be even less frequent to encounter another LL or longer streak. If it occurs, we may regret if we didn't continue the Martingale with a 4-unit bet!

S2.2) In reverse, we can bet on W groups longer or equal to two (WW, WWW, WWWW, etc.) Now, we wait for three consecutive groups of single W. At the next W (after an L) we bet 2 that it'll be another W. In most cases, we'll win right away. If not, we'll bet 4 units at another W after an L.

°° The safer variations on the last two betting methods. We can wait for four single W groups and bet directly 4 units at the very next Win after a Loss. We can wait for four LL groups (2L or longer) and bet directly 4 units at the very next L after a W.

SYSTEMS 2.3, 2.4, 2.5 cover the even-money bets: Red/Black, Odd/Even, High/Low. They follow the same rules as S2.1 and S2.2.In this case, however, we do not track W/L, but B/r, o/E, H/l.

• Let's take the Black/Red bet. Write first the numbers drawn:

36 10 29 25 16 1 22 4 7 23 26 4 10 29 21 27 16 15 6 37 19 22 29 36 18 16 30 37 35 10 37 15 16.

Next, write down what the roulette number represents: B for black, r for red and x for 0/00:

rBBrrrBBrrBBBBrrrBBxrBBrrrrxBBxBr.

Bet 2 units after the 1st B in the 4th B group 2 or longer (it is BB after the 3rd r in the row above). We lost, because the BB streak did not end there. The next B (black at roulette) group of 2 Bs or longer meant we lost again; this time we lost 4 units. Another BB group follows and we bet 8 after the 1st B in the group; there is an x, then another B. We win this time. A safer variation is to wait for four consecutive BB or longer groups. They occur far more rarely, however.

We can do the same thing betting on r. You can notice there are 3 rr or longer groups (rrr, rr, rrr). They are followed by a single r (...BxrB...)

• As in System S1.2, we bet on the continuation of singles (single B, single r, etc.). Let's look at this Odd/Even streak:

oooEoExoEoEEEExoExoEoEEoEooE.

We bet 2 units after the 3rd single o. We lose. More single o groups followed and we used the following Martingale: 4 (loss) - 16 (loss) - 32 (loss) - 64 (WIN). 64 times $5 = $320, an acceptable maximum limit at most roulette tables. The roulette game in Garmisch-Partenkirchen, Germany has a maximum limit of DM 6000 for even-money bets (for a DM 5 minimum limit).

• Can you keep track of all the roulette betting systems presented here? It is difficult in the beginning, but not impossible to write down the roulette numbers in rows & columns. Practice in a real casino, at a real roulette table helps a great deal.
• First practice, then play roulette with real money. The advantage of keeping track of all betting systems: CHOICES. You have plenty of options to choose from in a short time. You don't need to track a large number of spins until one of the favorable situations will come up. It is very likely that you will find yourself in a betting situation right after writing down the first 15 numbers displayed at the roulette table (the marquee).
• A team of two players at the same roulette table is even more efficient.

II-D. Roulette Systems to Avoid

SA1: Straight-Up Bet on One Favorite Roulette Number Only the payoff is enticing in this case (35-to-1), but you are assured of losing at a rate of 5.26% of your total bets. The roulette software you get with this system (SuperRoulette) shows lengthy reports on each roulette number. The roulette wheel does not favor any number whatsoever. There is a discrepancy among numbers, but there is no strong bias towards a particular one -- unless the wheel is worn out.

Some roulette numbers hit more frequently than others within certain ranges of spins. Percentage-wise, the frequency differences are not mathematically significant. And nobody can accurately predict which number will be more frequent within the next range. The operative word here is SKIP. The SKIP represents the number of roulette spins a number waits between hits. The skip varies between 0 (zero, i.e. consecutive hits; it is also 1: number of spins back) to over 200.

These roulette skip values are absolutely in accordance with the Fundamental Formula of Gambling. It will be common occurrence that your favorite roulette number will skip over 100 spins at any given time (during your playing session). So, what's the big deal of winning $36 after you lost $100? How about waiting 200 roulette spins for your number to hit? It really happens! Also, it is very unwise to track 100, or 200 spins, given the $35 potential win!

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Conclusion: I do not recommend you play a favorite roulette number.

SA2: Bet That the Next Roulette Number Will Be a Consecutive Hit

It certainly happens around 26 times in 1000 spins. Playing this way, we still lose 5.26% of our total bets. As you can notice in the SuperRoulette reports, sometimes it happens 35 times (or more!) to encounter consecutive hits in 1000 roulette spins! Indeed, there are these situations: You play on consecutive hits and win 30 times (or more) within 1000 roulette spins. You are a winner! But that doesn't happen all the time, first of all. Secondly, the profit is not that big. Keep in mind also that you can wait for a consecutive hit over 150 spins sometimes...

Conclusion: It's not worth the risk! You should use it only when you must play in order to keep your seat at the roulette table! You can improve the outcome somehow by skipping some spins.

SA3: Instead of betting on consecutive hits, you bet that the next number would have also hit in the last 0 to 9 roulette spins.

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It is a combination of the two NON-betting methods presented above. In this case, the situation is more manageable, because the probability p is higher: p = 1/4 (approximately). You remember the rules above. If the probability p is significantly above 50%, there are more frequent winning streaks and shorter losing streaks. Conversely, if the probability p is significantly below 50%, the losing streaks are longer. In the case of p = 1/4, the losing streaks can reach over 30 roulette spins! It's dangerous to bet with the expectation that the next roulette number would have also hit in the last 0 (1) to 9 (10) spins.

Tracking is easier than in the case above, but still difficult. There is a new element we can use in these situations, however: the median. Look at the SuperRoulette roulette software reports (the ROULETTE.REP file). The median for 1 to 10 hits is 2 or 3. In half or a little more than half the cases, the median will be 2. In other words, the next roulette number will be a repeat from the previous 10 spins in a little more than half the cases when this betting hits.

More explicitly: This type of betting hits around 250 in 1000 spins (1 in 4). In a little more than 125 roulette spins, the betting will hit within 3 spins from one another! If you think it is complicated, it probably is. Don't continue to read it, IF you don't understand it! Keeping track of this type of betting is complicated, too. So complicated, that I do not recommend you use this type of roulette betting! Nobody knows better than me how the Fundamental Formula of Gambling works (the configuration of W/L streaks). You should use it only when you must play in order to keep your seat at the casino table! Especially use it when it hit within the last 3 spins.

• A blackjack version of my streak gambling theory and strategy is presented on this page:
• Gambling Streaks, Betting Martingale Progressions.
• See how casinos reacted to my playing the Super Roulette Strategy in Atlantic City:Fearing Losses, Casinos Bar, Ban Winning Gamblers, Skilled Gambling Players.

III. Roulette Software, Actual Casino Spins to Analyze and Test Systems

You can run

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Super Roulette many, many times and get very similar results every time. This roulette program is a command prompt 32-bit application (runs under Win9x, 2000, XP, Vista, Windows 7, 8). It replaces the old 16-bit Roulette. Both applications are now identical (32-bit) to diffuse any confusion from my previous writings or software offerings. Read useful information regarding the command prompt, how to best use software in non-graphical mode (much faster than GUI software, especially in lotto).

Look at the main screen of SuperRoulette (also Roulette) casino gambling software.

You can also download here two files with actual roulette spins recorded at the Hamburg, Germany casino. The file HAMB00.DAT covers the period February 1-6, 2000. The other file, HAMB0106.WH1, covers the entire month of January 2006 (7990 real-life roulette spins… I can only assume real or correct or accurate… it's impossible to verify such data!) The data files are ASCII or simple text files. They look very much like the random output files generated by Super Roulette in random mode (Random0.DAT or Random00.DAT). The files contain roulette numbers (spins) only, one number per line. The casino actuals have also other data, such as frequency and various statistics. The files also have dashed lines (----) which probably represent casino dealer changes.

HAMB0106.WH1 that I edited and saved represents the best recording format: Table by table. Do not mix the spins from different roulette wheels in the same file. Also, the most recent roulette spin always goes to the top of the file, while the oldest spin (casino result) goes to the bottom (bottom line). Each file line contains one roulette spin and ends with a carriage return (pressing Enter). Make sure you do not leave any blank lines: They are treated as roulette number 0 (zero). If your file is for double-zero roulette tables, be sure to type 37 instead of 00.

By the way, those files can be precious items! Most casinos do not want to offer real roulette spins. Hamburg Spielbank sometimes offers results (actual spins), sometimes doesn't. Another German casino does the same thing: Spielbank Wiesbaden. You can try casino links like these two (not in directly-clickable format, because they change addresses way too frequently):
spielbank-hamburg.de/spielsaal/permanenzen.php4)
spielbank-wiesbaden.de/DE/621/Permanenzen2.php

• Read an interesting statistical report:
• wheel bias, roulette number pairings.
• If there is roulette wheel bias, then each roulette number must be followed preponderantly by certain numbers.
• I recommend you also check out that piece of great probability software: Streaks. It undeniably proves that all streaks, win or loss, follow mathematical formulas, NOT the gambler's fallacy.

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Read Ion Saliu's first book in print: Probability Theory, Live!
~ Founded on valuable mathematical discoveries with a wide range of scientific applications, including probability theory applied to roulette gambling, software, Roulette Strategies.

Roulette: Software, Content, Resources, Systems, Super Roulette Strategy

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