Monday, June 28, 2010
Sunday, June 27, 2010
The Paroli earnings progression over a number of steps is the opposite of the Martingale loss progression. In the Martingale is doubled after the loss rate on a simple chance (eg red) in each case the application. One starts eg with € 10 to enter and it is 10 x black of the Martingale player would put as follows: 10 - 20 - 40 - 80 - 160-320 - 640 - 1280 to 2560 and 5120 €. Until then, have been risked € 10 230, only to relatively paltry € 10 to win. Much risk to just about 1 per thousand profit, if you have won at all in the tenth bracket.
Why not better to play the opposite principle do? Small missions and such in case of winning over several times and hope for further gains in series. Leaving aside the use and profit are, it's called stand up. It offers a casino, so to speak Paroli and gets the profits in good fortune with the money of the bank. If one were to make the fullest use Parolisätze eg up to the tenth stage and has to create the rare good fortune to 10 Plus results in a row, a five-digit profit would have been achieved. And with only € 10 to enter. The rest of the capitalization funds the casino. It has a certain sense, the bank forced to play against the player, the Martingale progression.
Of course, it will create, no one in the very first attempt to double its 10-to 10.Stufe. It will take many futile attempts, and will be frustrated if the accumulated intercompany go after four to seven steps completely lost. To protect the nerve you will bet on shorter Parolifolgen, for example up to the third or fourth stage. Or one thinks about Teilparoli strategies with intermittent skimming. No matter how we end up making it appear at the end of all forms of profit progression more sense than the more dangerous Martingale progression.
In the diagram above, the Paroli depicts the 3.Verdoppelungsstufe. Far left is the basic bet (in the example of the 100 chip). In addition, the chip stack of 2, which is pictorially for 1.Spielgewinn. After the first successful Parolisatz it becomes a stack of four chips. After the repeated standing leave all previous operations and profits for a stack with 8 chips and the next stage will be from 16 chips. The successful successful so you can stand up to 3x versechszehnfachen with € 100 € on first use this 1600th This corresponds to an expected gross hits from Cheval. In that case you would put on only two adjacent numbers and guess this really need. At Cheval-hit get paid but little more, but the relation of use and profit at least similar.
Roulette basic strategy (tendency game)
| The tendency has been for some time in the game system market news described above. About this basic principle, there were previously several publications, said the book Telatzky-Verlag displaced rhythms and trends should be stressed. The following represented the main forms of trend-examples have in practice and in empirical tests such as useful proved that the tendency to play well for roulette basic strategy can be described as. With consistent application and a trained sense of the best trend (if several attack options are available) can be longer lasting profit runs achieved, as with other roulette systems. Interestingly in this context, the fact that some system vendors at the last time the words "you also to the tendency" to sprinkle the eighth. I'd put in another way: Make sure only to the trend. |
Roulette trend 1: Series / Nose |
 | A common tendency to observational picture: An opportunity will appear in series. In between comes the only Gegenchance Einercoup (nose). The length of the series is arbitrary, but should ideally be in the range 3 to 6. In practice, I'll wait longer lead from one, as shown in the example. Often manages the entry, as in the example: 2 hits, then a miss or I get the plus / minus sequence + - + - + personal in perpetuity. In both cases, part of the attack brings a piece of surplus. It is long on the Favorites page (in this case red) then move on until the picture is changing trend. This could be the case when the game begins, only 2-series and Einercoups occur after. Immediate termination if they are on the "nose" page (in this example, "S" series, such as black). |
The tendency of Phoenix won the player of the Company held by Casino4all roulette "Grand Prix" , which lasted over 13 game weeks, taking it to a large extent by the tendency was playing. The basic strategy described here is only a general basis, which is still a lot more. In addition I am counting a flexible response to the amount of use during the permanence of personal. This only works with a lot of experience you can train yourself to.
|
| The permanent display at Casino4all is a bit strange. In the German runs casinos displayed vertically, the permanence, and 12-20 numbers are shown. Who in Valkenburg Holland Casino or another once was, is horizontal Permanenzanzeigen know. In casino4all figures were each the last 17 thrown displayed with the scale from right to left shifts. The latest coup is thus left to see each. The screenshot above shows a trend phase, the tendency of a player named "roulado" was actually recorded by (23.08. Until 13:42 clock). The black / red sequence corresponds to a hybrid of the above series, nose-trend and a classic exchange coup-trend, which is described further below. As the Zweierserien on the black side were limited to intermittent-rates were not made, but it became easier for the chance superposition Black played with. Had it in the above, however, occasional Permanenzabschnitt Zweierserien, both on red, even on black and given as otherwise, only the one-coup, we would have this tendency to change course have to adjust the game with. |
Roulette trend 2: alternating tendency |
 | This tendency image may appear very long lasting. Coups single and two-series are the most common manifestations and thus logically occur more frequently in compound on it. As long as one between the coup-or 2-series Intermittenzcoups only occur as the trend image is intact. This phase is set to change the chance. As long as the trend image by 3-or long series is interrupted one not, stays the course of their own plus / minus result in the worst case - + - + - + etc., in the favorable case result sequence looks rather like this: + / - + + - + + - etc. The legendary million winner Thomas Garcia recorded only the trend of progression, and won with his so spectacular and long lasting, that the casino in Bad Homburg from ruin was near. Garcia-playing techniques refined over soon I'll post some more. |
Roulette trend 3: serial changes |
 | Some players prefer this trend trend pattern, which only appear in series. Following three to four series of length 3 or greater (which leads 2-series can occur in between) you set each to the previously published opportunity. It is not certain favors a chance, but we adapt to the trend that almost all serial or. Result of coups occur. In practice I tend occupation of this image is only rare because I almost always with a tendency to phase 1 or 2 images found tables. Only if the change-room trend, the series tends picture clearly confirmed, I will start an effective game after Phase 3 Makes me uncomfortable while the permanent game against the isolated One, the other is the phase consciously factored in, but here the attack will stop. At my casino tour last year (105 visits to 29 different casinos, including Monte Carlo, Baden Baden, Dortmund-Hohensyburg etc.), I got the impression that the serial changes were apparently more unstable than the trends 1 and 2 . |
Roulette tendency 4: "chaos" phase - No Charge! |
 | If none of the above phases occur in pure form, created unstable tendencies to which we are unable to adapt properly. Almost every player is such a tendency "mixed phase" losses make, as the above basic trends demonstrated a short initial stage will not go on. Who makes the mistake, recently lead a supposed tendency to follow too, is this chaos phase in a series of false starts do. The permanence of the player's personal nose will be long minus-series with occasional Plus "occur". A feature of this phase of instability is the occurrence of larger series of three on both sides with a chance in between scattered isolated Einercoups. There is no clear favorite, but not a predictable tendency to recognize patterns. If the "hall-trend" of a casino is so unstable, I start the actual game at a later date. Only when the phases are clearly visible up to three times a, and the trend is the most stable recorded. Who is already on the smallest shapes and patterns oriented (eg at the Alyett'schen figures) and after just 4-6 lead coups attacks, with no tendency to observe the parent is often safe in costly chaos-phase fall, as the consistent tendency player. |
Roulette contra Lotto 6 / 49
Roulette contra Lotto 6 / 49
(SYSTEM MARKET NEWS extra 2 / 1997)
One of the most obvious weaknesses of the Lotto game is the fact that generally only half the game proceeds will be distributed as profit!
What a difference the other hand, Roulette, where the Bank% of all sales are satisfied with 2.7, so 97.3% of all transacted bets go to the dividend (for players on even chances are even 98.65%). What else would have high chances of winning gambling to offer a way? Although the roulette game - compared to most other countries - here is a popular means (we have nearly 40 state-licensed casinos in Germany [cited 1997]), many times, the lottery is a popular than this "elitist" Casino game. Obviously it will take care the least that the chances of winning the lottery are much lower than in roulette. For this judge to be able to, it requires a certain mathematical education, few have known.
According to a calculation of the Federal Statistical Office, it is four times more likely to be killed by the lightning, the lottery than to have 6 correct. It is even 2600mal more likely to suffer the road-as to land the jackpot. 60.6% of our population still play occasionally or regularly Lotto, but only 4.7% occasionally or more oftenroulette. So widespread within the population of the suspicion, even at roulettecould be manipulated (40%), so it surprised the other, but that 55% of respondents not exclude at least that one can develop systems that help you in roulette with security could win.
But what are the odds of the roulette objective?
Mathematicians have only one answer: "The longer one plays, the more certain he will use every 2.7% of it lose. But who knows, that one-Lotto on long term with 48.34% loss of its operations must anticipate Saturday's?
So we ask whether and how high profits in roulette, at least theoretically possible - are. The maximum limits on a 5-Mark-table amount respectively to an amount of profit the bank in case of a payoff of max. 7000 marks forces. Consequently, the maximum is 200 and here for a number of simple chances (EC) 7000 Mark. For the 10-table subject to the double sums.
With 5 Mark can Plein than the 35-fold gain. EC only to the simple. Or? If you think just comes to the possibility of "Paroligewinne make", ie mainly with the money of the bank "playing. But for that it must come to EC to longer series. After all pieces is a 5-Series to RED with Paroli net effect is already 31 plus. But how often does a series of 5 are to RED? In my lexicon is on page 563 under "sociable" more accurate information: average every 71.5 coups once. If one payment to each hit a piece of it, then brings the series even gross 62 songs, while we only need to use pieces 71.5 average.
But what if we take on huge long series unpredictable? A 12 series comes on predetermined EC 11 000 Coups, although only every once before, so in diameter once per table per month. But they could already meet tomorrow. What's going get?
Although we already after 10 to the maximum responses come to stay over 4428 pieces! Unless we impose the excess payment amounts then the other opportunities to Plein then, are almost 5500 pieces, DM to reach 27 500 or so on 10-table twice.to meet this series has a probability of W = 0.00091, or approximately equal to 4 winning Lotto. There, however, there are only 112.60 Intersection DM, because with over 4300 other players must share the profits.
The fact that so many people still play Lotto each week, so it can on the dubious advantage of low operational ceiling are only spread hope to achieve an extraordinarily high income, and the simplicity of the rules. The above-mentioned drawbacks of the lottery to the roulette not want to admit, most obviously - or they are simply displaced. V.Haller Kurt
Roulette & Lotto
Why all this comparison? This brings us to but no further step to think some system players.
Sure, the final such comparisons do not succeed in solving problems through. If it is indeed possible, but mathematical likelihood of a quad lotto lotto payment of the par-five-piece to get to the which is already a strong argument against all roulette skeptics. This argument should those lottery players can go through the head to which the crow bar (expensive full-time or VEW systems) to enforce the luck. They fight constantly against a 50% downside to strength.
Of course, should one small bets on lottery play. Otherwise, do you get around the Minimalchance, large lot to drag the whole. Once there, however, for higher stakes and systematic game with "broadened set way" goes, money is deteriorating, the risk / extremely . The friction loss, with increasing Width of columns is always more to watch the roulette has deteriorated dramatically the chances of relationship, the more expensive combinations are played.
Max Woitschach, mathematics professor and expert in the field of game theory, wrote (including the books "strategy of the game", "probability and random" and "Can random count of?"), Describes this effect as follows: "The greater the number of operations, the greater number is still the law of large advantage. In other words: the very system players with their massed missions can get a lot more than other players to feel that the lottery is on average only 50% of its operations as a profit again recovered.
With a growing number of missions so loses the lottery and the nature of gambling is becoming a predictable events on the basis of probability theory and the rules of the game. "(Quote from:" probability and chance ")
Saturday, June 26, 2010
THE STATISTICAL ECART PART 2
THE STATISTICAL ECART PART 2
In the BASICS-section of our website we have published several articles explaining the statistical laws which are governing the game of roulette.
Two dominating principles tower above these natural laws:
the law of deviation (ecart) and the law of balance ( equilibrium).
These two laws together form the central order system of each roulette-permanence.
Deviation and balance each claim their place in every permanence.
The law of deviation is derived from the law of balance.
You can check these two laws in each permanence, at each roulette table in each Casino:
deviation and balance next to each other are ordinary.
Here we want to discuss the deviation of the six even money chances:
If you look for example at the 1999 results of Roulette-Table No. 1 of the Spielbank Baden Baden, Germany:
The table produced a total of 97,323 real spins including 2,689 zeroes.
Now let`s look at Black and Red:
47,212 Black numbers
47,415 Red numbers
Here after one year of table operation and almost 100,000 spins Red is ahead 203 spins. This is the absolute deviation or absolute Ecart.
The relative deviation or the relative Ecart is 0,214% !
Now let`s look at the development during 1999:
In January Red started ahead with 15 spins.
The highest deviation in the first six month was in February with + 114 Red numbers.
Sometime in the month of July the Black numbers did catch up and
there was a balance; by end of July Red was now behind with
73 spins. The highest deviation was in September: -270 Red numbers.
But within the last quarter of 1999 the Red numbers could recover
and in December after reaching a balance between Black and Red, came out
ahead with +203 spins.
The following diagram shows the development in a graphic form.
The absolute deviation or the absolute Ecart of the even money chances
which is becoming obvious in this investigation is more or less
useless for the roulette player, however a lot of people are searching
in this misleading direction.
Of much more interest is the statistical or relative Ecart of appearances
of the even money chances and its strength during much shorter permanence sections.
We will look closer into this fact in one of the next additions to our BASICS section.
The next table shows for your own investigations the development of
EVEN / ODD and HIGH / LOW numbers during 1999.
In the BASICS-section of our website we have published several articles explaining the statistical laws which are governing the game of roulette.
Two dominating principles tower above these natural laws:
the law of deviation (ecart) and the law of balance ( equilibrium).
These two laws together form the central order system of each roulette-permanence.
Deviation and balance each claim their place in every permanence.
The law of deviation is derived from the law of balance.
You can check these two laws in each permanence, at each roulette table in each Casino:
deviation and balance next to each other are ordinary.
Here we want to discuss the deviation of the six even money chances:
BLACK / RED EVEN / ODD HIGH / LOW.
If you look for example at the 1999 results of Roulette-Table No. 1 of the Spielbank Baden Baden, Germany:
The table produced a total of 97,323 real spins including 2,689 zeroes.
Now let`s look at Black and Red:
47,212 Black numbers
47,415 Red numbers
Here after one year of table operation and almost 100,000 spins Red is ahead 203 spins. This is the absolute deviation or absolute Ecart.
The relative deviation or the relative Ecart is 0,214% !
Now let`s look at the development during 1999:
In January Red started ahead with 15 spins.
The highest deviation in the first six month was in February with + 114 Red numbers.
Sometime in the month of July the Black numbers did catch up and
there was a balance; by end of July Red was now behind with
73 spins. The highest deviation was in September: -270 Red numbers.
But within the last quarter of 1999 the Red numbers could recover
and in December after reaching a balance between Black and Red, came out
ahead with +203 spins.
The following diagram shows the development in a graphic form.
The absolute deviation or the absolute Ecart of the even money chances
which is becoming obvious in this investigation is more or less
useless for the roulette player, however a lot of people are searching
in this misleading direction.
Of much more interest is the statistical or relative Ecart of appearances
of the even money chances and its strength during much shorter permanence sections.
We will look closer into this fact in one of the next additions to our BASICS section.
The next table shows for your own investigations the development of
EVEN / ODD and HIGH / LOW numbers during 1999.
TO BE CONTINUED
The Law of Third Part 2
The Law of Third Part 2
In part 1 of our discussion we have explained the basics of the law of third.
In part 2 we want to execute an experiment for the examination of this law.
Each month since June 2000, we have published a complete week
of the authentic spin history of Table No. 1 of the Casino "Spielbank Hamburg"
in the SPINS section of our homepage.
We have used these published spins here.
You can crosscheck the spins with our SPINS section or check with Spielbank Hamburg.
In our experiment we have examined 37 rotations ( rotation meaning a complete cycle of 37 consecutive spins of a specific roulette wheel) , in each case beginning with the first spin of the day.
(results for a double zero wheel with 38 numbers would be slightly different, of course)
The following table shows these 37 rotations in chronological order.
In the left column of the table are the dates of the rotations beginning with 2000-12-01 and ending with 2001-05-02.
The spin run follows the horizontal lines.
In the far right column the frequency of the different come numbers is shown.
This frequency ranges from 19 to 27 different numbers per rotation.
The average is 23.5 numbers per rotation.
The bottomline of the above table shows a very interesting phenomenon:
the Law of Third is also valid if we read the table spin by spin, from top to bottom, e.g. if we check for the frequency of the come numbers for the first spin of the day, for the second spin of the day etc. .
The frequency and the deviations are the same as in the actual spin runs.
The frequency ranges from 20 to 29 different numbers and the average is 23.7 numbers per "cross rotation".
In a later article we will further discuss this phenomenon, that will lead us
to the concept of the "personal permanence".
In our introduction we have stated that roulette is pure statistics! We think that the Law of Third is some proof for this statement. You can take any rotation out of a permanence and you will get the same results all over again. You can take every second or third spin and after 37 second or third spins you will still get the same results.
The table below is very much selfexplanatory:
we have listed here how often every number came out per rotation.
The deviation ranges from low 27 to high 46 appearances, whereas 37 would be "standard".
In part 1 of our discussion we have explained the basics of the law of third.
In part 2 we want to execute an experiment for the examination of this law.
Each month since June 2000, we have published a complete week
of the authentic spin history of Table No. 1 of the Casino "Spielbank Hamburg"
in the SPINS section of our homepage.
We have used these published spins here.
You can crosscheck the spins with our SPINS section or check with Spielbank Hamburg.
In our experiment we have examined 37 rotations ( rotation meaning a complete cycle of 37 consecutive spins of a specific roulette wheel) , in each case beginning with the first spin of the day.
(results for a double zero wheel with 38 numbers would be slightly different, of course)
The following table shows these 37 rotations in chronological order.
In the left column of the table are the dates of the rotations beginning with 2000-12-01 and ending with 2001-05-02.
The spin run follows the horizontal lines.
In the far right column the frequency of the different come numbers is shown.
This frequency ranges from 19 to 27 different numbers per rotation.
The average is 23.5 numbers per rotation.
The bottomline of the above table shows a very interesting phenomenon:
the Law of Third is also valid if we read the table spin by spin, from top to bottom, e.g. if we check for the frequency of the come numbers for the first spin of the day, for the second spin of the day etc. .
The frequency and the deviations are the same as in the actual spin runs.
The frequency ranges from 20 to 29 different numbers and the average is 23.7 numbers per "cross rotation".
In a later article we will further discuss this phenomenon, that will lead us
to the concept of the "personal permanence".
In our introduction we have stated that roulette is pure statistics! We think that the Law of Third is some proof for this statement. You can take any rotation out of a permanence and you will get the same results all over again. You can take every second or third spin and after 37 second or third spins you will still get the same results.
The table below is very much selfexplanatory:
we have listed here how often every number came out per rotation.
The deviation ranges from low 27 to high 46 appearances, whereas 37 would be "standard".
TO BE CONTINUED !
METHODE GRILLEAU
METHODE GRILLEAU
In our March addition to the BASICS section we were announcing two approaches to attack the wheel utilizing the law of third - respective the frequency of single numbers - for straight up bets.
Both ideas have been developed by well known roulette researchers in France. One by Marigny de Grilleau, the other one by Billedivoire.
We think both ideas are worth looking into. These ideas might be useful for your own investigations if you are interested in straight up bets. They work both against single zero and double zero wheels.
In this article we will introduce you with the
Methode Grilleau
Marigny de Grilleau found that the following strategy gave him the best results:
We need approx. 37/38 spins of the wheel before we can start the attack. Fortunately most of the modern roulette tables have boards that show the spin run for the last 20 to 25 spins. So we use this spin history.
Each number, which appeared three times in 37/38 spins must be pursued immediately after its third appearance over the next 37/38 spins, because we expect its fourth or still higher appearance.
If it does not appear in the next 37/38 spins, the attack on that number is discontinued. If the Number hits within 37/38 spins, the attack is discontinued also.
Grilleau recommends to follow not more than six numbers simultaneously. In order not to exceed this number, we give up the number that appeared first and add the newest - the seventh in this case - to the remaining five.
It is essential to keep a good record of the spins. Below is a possible record sheet for this method with a session from 05-01-2001 Spielbank Hamburg, Table No. 1 .
At the end of this page is a link to download a zipped Excel-file with this record sheet!
The first column carries the 37/38 numbers of the wheel.
The next five columns are for counting of the come numbers.
The left columns headed 1R, 2R, etc. are for the spin record from top to bottom whereby the R stands for Rotation ( a spin run of 37/38 consecutive numbers).
The columns headed #1, #2 etc. are for the selected betting numbers plus the placed bets.
The right columns headed 1R, 2R etc. are for the total balance of the session according to the rotations.
No. 17 ( the blue cell) is the first number to appear 3 times in rotation 1. We now bet 1 unit on every spin until we have a hit within the next 37/38 spins. We note the bets for # 17 in its respective column and carry over the balance to the right column 1R.
The next number to appear 3 times is the 13 (also marked blue). We again bet one unit until we have hit within the next 37/38 spins. We note the bets for # 13 respectively.
Just follow the spin run and everything will fall into place after some studying. Selected numbers are marked blue and hits are marked green. The session is terminated after the hit on # 22 with a positive balance of 109 units.
The following day, 05-02-2001, also Spielbank Hamburg, Table No. 1 is a little bit slower, still the session is terminated after 2 rotations with a positive result of 63 units. The red cells are repeats outside of a rotation, so they are unusable.
Grilleau`s recommendation is to play this method with a bankroll of 500 units and a profit expectation of 40 to 60 units per session. This is against straight numbers and you definitely need a big session bankroll plus a reserve!
He also recommends to play this strategy with a two man team: one for keeping the record and one to place the bets, however we think solo play is quite possible. He also recommends some kind of progression: after the loss of 100 units the betsize is doubled, after the loss of 200 units the betsize is tripled and after the loss of 300 units (which he says is very seldom) we bet four times the original betsize.
In our March addition to the BASICS section we were announcing two approaches to attack the wheel utilizing the law of third - respective the frequency of single numbers - for straight up bets.
Both ideas have been developed by well known roulette researchers in France. One by Marigny de Grilleau, the other one by Billedivoire.
We think both ideas are worth looking into. These ideas might be useful for your own investigations if you are interested in straight up bets. They work both against single zero and double zero wheels.
In this article we will introduce you with the
Methode Grilleau
Marigny de Grilleau found that the following strategy gave him the best results:
We need approx. 37/38 spins of the wheel before we can start the attack. Fortunately most of the modern roulette tables have boards that show the spin run for the last 20 to 25 spins. So we use this spin history.
Each number, which appeared three times in 37/38 spins must be pursued immediately after its third appearance over the next 37/38 spins, because we expect its fourth or still higher appearance.
If it does not appear in the next 37/38 spins, the attack on that number is discontinued. If the Number hits within 37/38 spins, the attack is discontinued also.
Grilleau recommends to follow not more than six numbers simultaneously. In order not to exceed this number, we give up the number that appeared first and add the newest - the seventh in this case - to the remaining five.
It is essential to keep a good record of the spins. Below is a possible record sheet for this method with a session from 05-01-2001 Spielbank Hamburg, Table No. 1 .
At the end of this page is a link to download a zipped Excel-file with this record sheet!
The first column carries the 37/38 numbers of the wheel.
The next five columns are for counting of the come numbers.
The left columns headed 1R, 2R, etc. are for the spin record from top to bottom whereby the R stands for Rotation ( a spin run of 37/38 consecutive numbers).
The columns headed #1, #2 etc. are for the selected betting numbers plus the placed bets.
The right columns headed 1R, 2R etc. are for the total balance of the session according to the rotations.
No. 17 ( the blue cell) is the first number to appear 3 times in rotation 1. We now bet 1 unit on every spin until we have a hit within the next 37/38 spins. We note the bets for # 17 in its respective column and carry over the balance to the right column 1R.
The next number to appear 3 times is the 13 (also marked blue). We again bet one unit until we have hit within the next 37/38 spins. We note the bets for # 13 respectively.
Just follow the spin run and everything will fall into place after some studying. Selected numbers are marked blue and hits are marked green. The session is terminated after the hit on # 22 with a positive balance of 109 units.
The following day, 05-02-2001, also Spielbank Hamburg, Table No. 1 is a little bit slower, still the session is terminated after 2 rotations with a positive result of 63 units. The red cells are repeats outside of a rotation, so they are unusable.
Grilleau`s recommendation is to play this method with a bankroll of 500 units and a profit expectation of 40 to 60 units per session. This is against straight numbers and you definitely need a big session bankroll plus a reserve!
He also recommends to play this strategy with a two man team: one for keeping the record and one to place the bets, however we think solo play is quite possible. He also recommends some kind of progression: after the loss of 100 units the betsize is doubled, after the loss of 200 units the betsize is tripled and after the loss of 300 units (which he says is very seldom) we bet four times the original betsize.
Go ahead and do some experiments with this strategy !
Capitalization of profits part 2
Capitalization of profits part 2
This capitalization is based on an average gain of 5 units per attack:
- starting bankroll $ 1000
- in 50 units of $ 20 each.
Everytime a gain of 5 units is obtained -meaning always the end of an attack- these 5 units are added to the bankroll which is then divided by 50 to determine the new size of the 50 units.
At the beginning of this capitalisation this will only be possible after several attacks.
Exactly the same applies after a lost attack. If a loss of 5 units develops, this loss is then subtracted from the available bankroll. This bankroll is then divided by 50, in order to determine the size of the new 50 units.
By this principle -gains increase the bankroll, losses reduce the bankroll- the player always has a capital of 50 units available at the beginning of a new attack. This procedure gives the player the necessary strength to overcome difficult stretches in his play. This is very important, because it is simply utopian to believe in the possibility of a regular daily gain.
There will be losses which must be accepted. But these losses mean nothing else than a momentary idling in the capitalization. After a gain the bankroll grows again and the unit size is gradually increased.
The following table should make the capitalization clear:
If the bankroll reaches a certain height, the reasonable player will stop his capitalization, take off a part of the obtained gains and will then begin a new capitalization with a bankroll two or three times the amount of his original capital. The player is strengthened by this procedure, because he operates in the following exclusively with the bank`s money!
This capitalization is based on an average gain of 5 units per attack:
- starting bankroll $ 1000
- in 50 units of $ 20 each.
Everytime a gain of 5 units is obtained -meaning always the end of an attack- these 5 units are added to the bankroll which is then divided by 50 to determine the new size of the 50 units.
At the beginning of this capitalisation this will only be possible after several attacks.
Exactly the same applies after a lost attack. If a loss of 5 units develops, this loss is then subtracted from the available bankroll. This bankroll is then divided by 50, in order to determine the size of the new 50 units.
By this principle -gains increase the bankroll, losses reduce the bankroll- the player always has a capital of 50 units available at the beginning of a new attack. This procedure gives the player the necessary strength to overcome difficult stretches in his play. This is very important, because it is simply utopian to believe in the possibility of a regular daily gain.
There will be losses which must be accepted. But these losses mean nothing else than a momentary idling in the capitalization. After a gain the bankroll grows again and the unit size is gradually increased.
The following table should make the capitalization clear:
If the bankroll reaches a certain height, the reasonable player will stop his capitalization, take off a part of the obtained gains and will then begin a new capitalization with a bankroll two or three times the amount of his original capital. The player is strengthened by this procedure, because he operates in the following exclusively with the bank`s money!
TRY FOR YOURSELF !
The Law of Third Part 1
The Law of Third Part 1
Each experienced roulette player knows the fact, that it is impossible for the roulette wheel to produce in 37/38 spins all 37/38 numbers.
This appearance probably never occurred in the long history of roulette.
This fact represents a mathematical reality.
This reality, which is generally called The Law of Third, ensures for the fact that in 37/38 spins 1/3 of the numbers do not appear.
That again means that some numbers must appear several times.
Investigations in practice and statistics of hundredthousands of spins show on average the following results:
within 20 spins only 16 different numbers do appear, because 4 numbers did appeared twice;
within 37 spins between 23 and 24 numbers do appear on the average, because 10 numbers did appear twice and 2 or 3 numbers did appear three times;
within 110 spins (average) only 35 different numbers do appear,
of which approx. 28 did appear twice,
from these 28 numbers 20 did appear three times,
from these 20 numbers 12 did appear four times,
from these 12 numbers 6 did appear five times,
from these 6 numbers 3 six times appeared and
from these 3 finally 1 number seven times appeared.
The table below shows the complete outline of the appearance of the numbers from spin 1 up to spin 111. To keep the table short we have ommited the spin lines where nothing happens.
The table is easy to read:
For example with spin 12 one number appeared twice and with spin 21 already 16 numbers appeared once and 4 numbers twice.
And naturally what is valid for the single numbers, applies also to the STREETS and the LINES, whereby the frequency of the appearance is changed accordingly.
(the frequency distribution for STREETS and LINES can be found in
STATISTICS)
In one of our next updates we will show you two approaches to utilize The Law of Third for straight up bets.
Each experienced roulette player knows the fact, that it is impossible for the roulette wheel to produce in 37/38 spins all 37/38 numbers.
This appearance probably never occurred in the long history of roulette.
This fact represents a mathematical reality.
This reality, which is generally called The Law of Third, ensures for the fact that in 37/38 spins 1/3 of the numbers do not appear.
That again means that some numbers must appear several times.
Investigations in practice and statistics of hundredthousands of spins show on average the following results:
within 20 spins only 16 different numbers do appear, because 4 numbers did appeared twice;
within 37 spins between 23 and 24 numbers do appear on the average, because 10 numbers did appear twice and 2 or 3 numbers did appear three times;
within 110 spins (average) only 35 different numbers do appear,
of which approx. 28 did appear twice,
from these 28 numbers 20 did appear three times,
from these 20 numbers 12 did appear four times,
from these 12 numbers 6 did appear five times,
from these 6 numbers 3 six times appeared and
from these 3 finally 1 number seven times appeared.
The table below shows the complete outline of the appearance of the numbers from spin 1 up to spin 111. To keep the table short we have ommited the spin lines where nothing happens.
The table is easy to read:
For example with spin 12 one number appeared twice and with spin 21 already 16 numbers appeared once and 4 numbers twice.
And naturally what is valid for the single numbers, applies also to the STREETS and the LINES, whereby the frequency of the appearance is changed accordingly.
(the frequency distribution for STREETS and LINES can be found in
STATISTICS)
In one of our next updates we will show you two approaches to utilize The Law of Third for straight up bets.
TO BE CONTINUED !
Capitalization of profits part 1
Capitalization of profits part 1
In this article, we will introduce you to a method of capitalization of profits on the basis of a modest average gain of 4 units per attack.
Starting bankroll: US $ 2000 in 20 units of $ 100.
The betsize is increased about $ 100 after a each profit of $ 2000. Amounts which cannot be divided accordingly are being used to build a reserve.
The following table should make the capitalization clear:
So within twenty attacks, each gaining 4 units, the starting bankroll of $ 2000 has been increased to $ 41000, obtaining a total profit of $ 39000! In the process of this capitalization $ 8000 for the formation of a reserve was pulled out.
The principle of this procedure consists of increasing the size of units, if gains of the amount of the starting bankroll were obtained and those gains distributed on the 20 starting units. Thus these are doubled, trippled etc., whereby the amounts which can not be divided are pulled out and used as a reserve.
This reserve is to protect the starting capital for the little probable case in which one should lose the capitalized money with one of the last eight attacks.
If you terminate this first undertaking with a modest capital of $ 2000, you can try a second attempt with a starting bankroll of $ 8000 (reserve of attempt 1), which must be divided into 20 units of $ 400. The values of the above table then have to be multiplied by four. The last won bets reach then a size of $ 6000 and a total gain of $ 156000 is achieved.
In this article, we will introduce you to a method of capitalization of profits on the basis of a modest average gain of 4 units per attack.
Starting bankroll: US $ 2000 in 20 units of $ 100.
The betsize is increased about $ 100 after a each profit of $ 2000. Amounts which cannot be divided accordingly are being used to build a reserve.
The following table should make the capitalization clear:
So within twenty attacks, each gaining 4 units, the starting bankroll of $ 2000 has been increased to $ 41000, obtaining a total profit of $ 39000! In the process of this capitalization $ 8000 for the formation of a reserve was pulled out.
The principle of this procedure consists of increasing the size of units, if gains of the amount of the starting bankroll were obtained and those gains distributed on the 20 starting units. Thus these are doubled, trippled etc., whereby the amounts which can not be divided are pulled out and used as a reserve.
This reserve is to protect the starting capital for the little probable case in which one should lose the capitalized money with one of the last eight attacks.
If you terminate this first undertaking with a modest capital of $ 2000, you can try a second attempt with a starting bankroll of $ 8000 (reserve of attempt 1), which must be divided into 20 units of $ 400. The values of the above table then have to be multiplied by four. The last won bets reach then a size of $ 6000 and a total gain of $ 156000 is achieved.
TRY FOR YOURSELF !
The d`Alembert progression for twelve number bets
The d`Alembert progression for twelve number bets
We assume that you are familiar with the d`Alembert progression for even money bets.
We can apply however also an exactly analogous d'Alembert progression to twelve number bets (dozens and columns) :
With dozens and columns, the first bet is always 1 unit, the profit however is 2 units. Consequently before we have to increase our bet to 2 units we can lose twice; and to decrease the bet about 1 unit, we only need to win once.
With the following sample session, we want to make this type of progression clear:
this example is based on the authentic roulette permanence of Table No.1, Spielbank Hamburg from 2000-12-01(see HAMBURG SPINS DECEMBER 2000), starting with spin No.1 .
We use the columns for this demonstration. We bet on the last spin ( IMPORTANT: this is not a method we would recommend, we just use this type of betting to explain the progression!) and we have colorcoded the columns in red for a lost bet and in green for a won bet:
We have with the 22. spin the complete balance with 14 lost bets and 7 won bets. Always after 2 losses, we increase the bet size about 1 unit and after each win, we reduce about 1 unit.
We consider this variation of the d`Alembert progression as a valuable addition to good betting strategies against dozens and columns.
We assume that you are familiar with the d`Alembert progression for even money bets.
We can apply however also an exactly analogous d'Alembert progression to twelve number bets (dozens and columns) :
With dozens and columns, the first bet is always 1 unit, the profit however is 2 units. Consequently before we have to increase our bet to 2 units we can lose twice; and to decrease the bet about 1 unit, we only need to win once.
With the following sample session, we want to make this type of progression clear:
this example is based on the authentic roulette permanence of Table No.1, Spielbank Hamburg from 2000-12-01(see HAMBURG SPINS DECEMBER 2000), starting with spin No.1 .
We use the columns for this demonstration. We bet on the last spin ( IMPORTANT: this is not a method we would recommend, we just use this type of betting to explain the progression!) and we have colorcoded the columns in red for a lost bet and in green for a won bet:
We have with the 22. spin the complete balance with 14 lost bets and 7 won bets. Always after 2 losses, we increase the bet size about 1 unit and after each win, we reduce about 1 unit.
We consider this variation of the d`Alembert progression as a valuable addition to good betting strategies against dozens and columns.
TRY FOR YOURSELF !
Statistics for even money chances part 5
Statistics for even money chances part 5
In part 5 of our statistics for even money chances we discuss the appearance of series of 2, 3, 4 and 5 as isolated units and as clusters.
Table 1: the appearance of series of 2 on a double even money chance ( Black & Red) in a permanence of 1024 spins (without zero/doublezero) in 8 sections of 128 spins each.
It became clear that in 1024 spins without zero the singles claim 256 spins and the series 764 spins. 128 series of 2 claim 256 spins. Of these 256 spins ¼ (64 spins) form the 32 series of 2 which did appear as isolated units and ¾ (192 spins) form the various clusters of series of 2.
There are:
Table 2: distribution of high clusters of series of 2 starting with clusters of six series of 2 in a roulette permanence of 131,072 spins without zero/doublezero.
Table 3: the appearance of series of 3 on a double even money chance ( Black & Red) in a permanence of 1024 spins (without zero/doublezero) in 4 sections of 256 spins each.
We here can see that in 1024 spins without zero the 64 series of 3 claim 192 spins. Of these 192 spins ¼ (48 spins) form the 16 series of 3 which did appear as isolated units and ¾ (144 spins) form the various clusters of series of 3.
There are:
Table 4: distribution of high clusters of series of 3 starting with clusters of five series of 3 in a roulette permanence of 131,072 spins without zero/doublezero.
Table 5: the appearance of series of 4 on a double even money chance ( Black & Red) in a permanence of 1024 spins (without zero/doublezero) in 2 sections of 512 spins each.
In 1024 spins without zero the 32 series of 4 claim 128 spins. Of these 128 spins ¼ (32 spins) form the 8 series of 4 which did appear as isolated units and ¾ (96 spins) form the eight clusters of series of 4.
There are:
Table 6: distribution of high clusters of series of 4 starting with clusters of four series of 4 in a roulette permanence of 131,072 spins without zero/doublezero.
Table 7: distribution of high clusters of series of 5 starting with clusters of three series of 5 in a roulette permanence of 131,072 spins without zero/doublezero.
We don't consider it useful to continue these tables for the higher series (series of six, seven, eight and higher).
You can quite clearly see from the above tables that the high clusters of equal series inevitably must appear.
Their number differs only slightly from the number fixed by the statistical law since their average appearance is constant.
Only the time of their appearance remains unknown!
In part 5 of our statistics for even money chances we discuss the appearance of series of 2, 3, 4 and 5 as isolated units and as clusters.
Table 1: the appearance of series of 2 on a double even money chance ( Black & Red) in a permanence of 1024 spins (without zero/doublezero) in 8 sections of 128 spins each.
It became clear that in 1024 spins without zero the singles claim 256 spins and the series 764 spins. 128 series of 2 claim 256 spins. Of these 256 spins ¼ (64 spins) form the 32 series of 2 which did appear as isolated units and ¾ (192 spins) form the various clusters of series of 2.
There are:
Table 2: distribution of high clusters of series of 2 starting with clusters of six series of 2 in a roulette permanence of 131,072 spins without zero/doublezero.
Table 3: the appearance of series of 3 on a double even money chance ( Black & Red) in a permanence of 1024 spins (without zero/doublezero) in 4 sections of 256 spins each.
We here can see that in 1024 spins without zero the 64 series of 3 claim 192 spins. Of these 192 spins ¼ (48 spins) form the 16 series of 3 which did appear as isolated units and ¾ (144 spins) form the various clusters of series of 3.
There are:
Table 4: distribution of high clusters of series of 3 starting with clusters of five series of 3 in a roulette permanence of 131,072 spins without zero/doublezero.
Table 5: the appearance of series of 4 on a double even money chance ( Black & Red) in a permanence of 1024 spins (without zero/doublezero) in 2 sections of 512 spins each.
In 1024 spins without zero the 32 series of 4 claim 128 spins. Of these 128 spins ¼ (32 spins) form the 8 series of 4 which did appear as isolated units and ¾ (96 spins) form the eight clusters of series of 4.
There are:
Table 6: distribution of high clusters of series of 4 starting with clusters of four series of 4 in a roulette permanence of 131,072 spins without zero/doublezero.
Table 7: distribution of high clusters of series of 5 starting with clusters of three series of 5 in a roulette permanence of 131,072 spins without zero/doublezero.
We don't consider it useful to continue these tables for the higher series (series of six, seven, eight and higher).
You can quite clearly see from the above tables that the high clusters of equal series inevitably must appear.
Their number differs only slightly from the number fixed by the statistical law since their average appearance is constant.
Only the time of their appearance remains unknown!
TO BE CONTINUED !
Statistics for even money chances part 4
Statistics for even money chances part 4
Part 4 of our statistics for even money chances deals with the distribution of :
1. clusters of singles
2. clusters of series ( series of different length)
Part 5 will discuss the appearance and distribution of clusters of
series of 2 and greater)
1. In 131,072 spins ( again without consideration of zero/doublezero ) ¾ of the spins ( 98,304) form 32,768 series and ¼ of the spins ( 32,768) form the singles. From these 32,768 singles ¼ ( 8,192) did appear as isolated singles and ¾ ( 24,596 ) form the clusters of singles ( together 8,192 clusters of singles).
These 8,192 clusters break into:
in accordance with the following table, whereby a cluster of 16 singles is on average the longest cluster in a permanence of 131,072 spins.
Table 1: distribution of clusters of singles in 131,072 spins
without zero on a double even money chance: BLACK & RED
Table 2: shows the distribution and appearance of isolated series of various length and clusters of series of various length on a double even money Chance (BLACK & RED) in a permanence of 1024 spins without zero/doublezero divided in 16 sections of 64 spins each:
2.This table of the distribution of any series of various length on a double even money chance corresponds exactly to the table of the distribution of the singles on an equivalent chance.
From table 2 ( BASICS / statistics of even money chances part 2: Law of appearance of singles and series in 1024 spins without zero on a double even money chance: BLACK / RED 1024 SPINS) we could see that in a permanence of 1024 spins 256 series (768 spins) are formed.
The above distribution table clearly shows the fact that of these 256 series, 64 series with 192 spins did appear isolated and not connected (not in clusters); that is limited by singles. Besides 64 accumulations of connected series (clusters of series) of any length have appeared. These 64 accumulations form 192 series with 576 spins.
In summary can be said that in a roulette-permanence the sum of isolated series, i.e. not connected (clustered), is equal the sum of clusters of series. There are as many clusters of 2 series as clusters of more than 2 series and so forth. This law of appearance is valid for singles and series.
The law of distribution of clusters of series is equal to the law of distribution of clusters of singles!
Part 4 of our statistics for even money chances deals with the distribution of :
1. clusters of singles
2. clusters of series ( series of different length)
Part 5 will discuss the appearance and distribution of clusters of
series of 2 and greater)
1. In 131,072 spins ( again without consideration of zero/doublezero ) ¾ of the spins ( 98,304) form 32,768 series and ¼ of the spins ( 32,768) form the singles. From these 32,768 singles ¼ ( 8,192) did appear as isolated singles and ¾ ( 24,596 ) form the clusters of singles ( together 8,192 clusters of singles).
These 8,192 clusters break into:
in accordance with the following table, whereby a cluster of 16 singles is on average the longest cluster in a permanence of 131,072 spins.
Table 1: distribution of clusters of singles in 131,072 spins
without zero on a double even money chance: BLACK & RED
Table 2: shows the distribution and appearance of isolated series of various length and clusters of series of various length on a double even money Chance (BLACK & RED) in a permanence of 1024 spins without zero/doublezero divided in 16 sections of 64 spins each:
2.This table of the distribution of any series of various length on a double even money chance corresponds exactly to the table of the distribution of the singles on an equivalent chance.
From table 2 ( BASICS / statistics of even money chances part 2: Law of appearance of singles and series in 1024 spins without zero on a double even money chance: BLACK / RED 1024 SPINS) we could see that in a permanence of 1024 spins 256 series (768 spins) are formed.
The above distribution table clearly shows the fact that of these 256 series, 64 series with 192 spins did appear isolated and not connected (not in clusters); that is limited by singles. Besides 64 accumulations of connected series (clusters of series) of any length have appeared. These 64 accumulations form 192 series with 576 spins.
In summary can be said that in a roulette-permanence the sum of isolated series, i.e. not connected (clustered), is equal the sum of clusters of series. There are as many clusters of 2 series as clusters of more than 2 series and so forth. This law of appearance is valid for singles and series.
The law of distribution of clusters of series is equal to the law of distribution of clusters of singles!
TO BE CONTINUED !
THE APPEARANCE OF THE TWELVE STREETS
THE APPEARANCE OF THE TWELVE STREETS
street ( French : transversale pleine ): three number bet / pay out 11:1
Actually the streets are the prototype of a multiple conventional chance. The appearance of the twelve streets can be followed and recorded easily.
The numbers 1 - 36 of the roulette wheel are arranged on the table in twelve streets:
On a single zero wheel the zero and the first three numbers 1, 2 and 3 form two irregular streets : 0, 1, 2 and 0, 2, 3 !
On a double zero wheel the zero and the numbers 1 and 2 form an irregular street : 0, 1, 2 and also the double zero and the numbers 2 and 3 : 00, 2, 3 .
Each appearance of a street between two other streets is regarded with reference to its classification as a single unit or simply as a single. If a street appears at least twice consecutively, a series is formed.
In a permanence of 1024 spins without consideration of zero/double zero, the appearance of the 12 streets is as follows:
The following table shows the law of appearance of series of streets
(left column: appearance / right column: number of spins):
The law of third is also valid with the appearance of the twelve streets:
Normally on average two streets will appear twice within 12 spins. With the 14th spin the first threefold appearance is due. After 14 spins still 4 streets are open and it will appear on average the 8th street. In accordance with the poisson distribution 23 spins are required until one street appears four times, but this one is formed from one of the 3 streets which have appeared 3 times before. The last open street appears on average after the 31st spin.
The statements made above apply also to twelve wheel sectors of three numbers each.
The following table shows the frequency of the appearance of the twelve regular streets in respect of the spin run:
The above statistics can be used to develop systems for street-, line-, dozens/columns-, wheel sector- and even money bets.
In this explanation of the law of the appearance of the streets we have assumed zero/doublezero as not existent because they do not interrupt the formation of the figures of the streets. If zero/doublezero do appear, the loss must be accepted and the bet has to be repeated.
street ( French : transversale pleine ): three number bet / pay out 11:1
Actually the streets are the prototype of a multiple conventional chance. The appearance of the twelve streets can be followed and recorded easily.
The numbers 1 - 36 of the roulette wheel are arranged on the table in twelve streets:
On a single zero wheel the zero and the first three numbers 1, 2 and 3 form two irregular streets : 0, 1, 2 and 0, 2, 3 !
On a double zero wheel the zero and the numbers 1 and 2 form an irregular street : 0, 1, 2 and also the double zero and the numbers 2 and 3 : 00, 2, 3 .
Each appearance of a street between two other streets is regarded with reference to its classification as a single unit or simply as a single. If a street appears at least twice consecutively, a series is formed.
In a permanence of 1024 spins without consideration of zero/double zero, the appearance of the 12 streets is as follows:
The following table shows the law of appearance of series of streets
(left column: appearance / right column: number of spins):
The law of third is also valid with the appearance of the twelve streets:
Normally on average two streets will appear twice within 12 spins. With the 14th spin the first threefold appearance is due. After 14 spins still 4 streets are open and it will appear on average the 8th street. In accordance with the poisson distribution 23 spins are required until one street appears four times, but this one is formed from one of the 3 streets which have appeared 3 times before. The last open street appears on average after the 31st spin.
The statements made above apply also to twelve wheel sectors of three numbers each.
The following table shows the frequency of the appearance of the twelve regular streets in respect of the spin run:
 |
 |
 |
The above statistics can be used to develop systems for street-, line-, dozens/columns-, wheel sector- and even money bets.
In this explanation of the law of the appearance of the streets we have assumed zero/doublezero as not existent because they do not interrupt the formation of the figures of the streets. If zero/doublezero do appear, the loss must be accepted and the bet has to be repeated.
Statistics for even money chances part 3
Statistics for even money chances part 3
The distribution of even money figures in isolated units and different accumulations
In the preceding three articles about the statistics of even money chances we could see that a roulette-wheel produces figures on the even money chances, which we have called series and singles. We have discussed the appearance and the frequency of the developing series and singles in roulette-permanencies.
In the analysis of permanencies we can state that each figure of a certain category sometimes will appear isolated between two figures belonging to higher categories (the figures of a lower category is never to be considered), which statistically seen is their hostile equivalent, sometimes in different accumulations or clusters :
The following column shows some examples of the above mentioned figures and appearances for Black and Red. These are also valid for Even, Odd and High and Low:
The precise laws of nature - namely the law of the distribution of figures into different accumulations or clusters and isolated units - rule these different appearances.
The knowledge of these laws clarifies the marvelous order and harmony, which governs in the apparent disorder of a permanence. The law of the distribution of figures, which may not be mistaken above all with the law of the appearance of figures, can be divided in two categories:
Seemingly, most roulette-players are aware of the fact that each cluster of the same figure is terminated by the appearance of the equivalent hostile-figure whose periodicity is the same. Many also know that the sum of each figure is equal to the sum of the higher figures. But most ignore the above stated solid facts!
It is quite useful to know these strange equivalences in the distribution of the manifestations of the figures. However these will become clear only through a long and careful analysis of a roulette-permanence or a certain number of shoes at Baccarat or Trente et Quarante.
The following four tables represent:
the law of the distribution of figures into different accumulations / clusters and single units
Table 1. distribution of singles on a single chance (BLACK),
Table 2. distribution of singles on a double chance (BLACK / RED),
Table 3. distribution of singles on all three double even money chances together and
Table 4. distribution of isolated series and clusters of series on a double chance (BLACK / RED)
Table 1: Law of distribution of singles in 1024 spins without zero on a single even money chance:
BLACK: 512 SPINS
Table 2: Law of distribution of singles in 1024 spins without zero on a double even money chance:
BLACK / RED: 1024 SPINS
The table of the law of the appearance of the singles and series (table 2 of statistics for even money chances, part 1)determined that the singles claim 256 spins of a permanence of 1024 spins. We now see from the above table that of 256 singles 64 of these did appear isolated and 192 singles did appeare in 64 clusters of different length.
Further becomes clear from this distribution-table that in 1024 spins a classified cluster of 7 singles and one of 8 or more - that therefore is not classified - originates (for this unclassified cluster the statistical natural law intends 9 spins, since 9 is the average-value between a cluster of 8 and a possible higher cluster). Also we can see that the clusters of singles consist in the average of three spins as also the straight series are formed on average from three spins. The clusters of singles are nothing other than series, that are broken off or terminated after each spin. Finally became clear that just as many isolated singles like clusters of singles, just as many clusters of 2 singles like cluster of 3 or more, just as many clusters of 3 singles like clusters of 4 or more and so on, do appear.
The appearance of singles is governed by the same law as the series. Each single or cluster of singles in opposition to the sum of the higher clusters on the same chance.
Table 3: Law of distribution of singles in 1024 spins without zero on all three double even money chances:
BLACK / RED EVEN / ODD HIGH / LOW: 1024 SPINS
Table 4: Law of distribution of isolated series and clusters of series in 1024 spins without zero on a double even money chance:
BLACK / RED: 1024 SPINS
The distribution of even money figures in isolated units and different accumulations
In the preceding three articles about the statistics of even money chances we could see that a roulette-wheel produces figures on the even money chances, which we have called series and singles. We have discussed the appearance and the frequency of the developing series and singles in roulette-permanencies.
In the analysis of permanencies we can state that each figure of a certain category sometimes will appear isolated between two figures belonging to higher categories (the figures of a lower category is never to be considered), which statistically seen is their hostile equivalent, sometimes in different accumulations or clusters :
| figure | hostile eqivalent |
| single | series |
| series of 2 | series > 2 |
| series of 3 | series > 3 |
| series of 4 | series > 4 |
| series of 5 | and so forth......: the sum of all singles in a roulette permanence is equal to the sum of all series. The sum of the series of 2 is equal to the sum of all series greater than 2. etc.etc. |
| isolated single | cluster of singles |
| cluster of 2 singles | cluster > 2 singles |
| cluster of 3 singles | cluster > 3 singles |
| cluster of 4 singles | cluster > 4 singles |
| cluster of 5 singles | and so forth......: the sum of all isolated singles in a roulette permanence is equal to the sum of all clusters of singles. The sum of clusters of 2 is equal to the sum of all clusters greater than 2. etc. etc. |
| isolated series | cluster of series |
| cluster of 2 series | cluster > 2 series |
| cluster of 3 series | cluster > 3 series |
| cluster of 4 series | cluster > 4 series |
| cluster of 5 series | and so forth...... the sum of all isolated series in a roulette permanence is equal to the sum of all clusters of series. The sum of clusters of 2 series is equal to the sum of all clusters greater than 2. etc. etc. |
| isolated series of 2 | cluster of series of 2 |
| cluster of 2 series of 2 | cluster > 2 series of 2 |
| cluster of 3 series of 2 | cluster > 3 series of 2 |
| cluster of 4 series of 2 | cluster > 4 series of 2 |
| cluster of 5 series of 2 | and so forth...... the sum of all isolated series of 2 in a roulette permanence is equal to the sum of all clusters of series of 2. The sum of clusters of two series of 2 is equal to the sum of all clusters greater than 2. etc. etc. |
 |
 |
The precise laws of nature - namely the law of the distribution of figures into different accumulations or clusters and isolated units - rule these different appearances.
The knowledge of these laws clarifies the marvelous order and harmony, which governs in the apparent disorder of a permanence. The law of the distribution of figures, which may not be mistaken above all with the law of the appearance of figures, can be divided in two categories:
- the law of the simple distribution of the figures
- the law of the special distribution of the individual manifestations of individual figures
Seemingly, most roulette-players are aware of the fact that each cluster of the same figure is terminated by the appearance of the equivalent hostile-figure whose periodicity is the same. Many also know that the sum of each figure is equal to the sum of the higher figures. But most ignore the above stated solid facts!
It is quite useful to know these strange equivalences in the distribution of the manifestations of the figures. However these will become clear only through a long and careful analysis of a roulette-permanence or a certain number of shoes at Baccarat or Trente et Quarante.
The following four tables represent:
the law of the distribution of figures into different accumulations / clusters and single units
Table 1. distribution of singles on a single chance (BLACK),
Table 2. distribution of singles on a double chance (BLACK / RED),
Table 3. distribution of singles on all three double even money chances together and
Table 4. distribution of isolated series and clusters of series on a double chance (BLACK / RED)
Table 1: Law of distribution of singles in 1024 spins without zero on a single even money chance:
BLACK: 512 SPINS
Table 2: Law of distribution of singles in 1024 spins without zero on a double even money chance:
BLACK / RED: 1024 SPINS
The table of the law of the appearance of the singles and series (table 2 of statistics for even money chances, part 1)determined that the singles claim 256 spins of a permanence of 1024 spins. We now see from the above table that of 256 singles 64 of these did appear isolated and 192 singles did appeare in 64 clusters of different length.
Further becomes clear from this distribution-table that in 1024 spins a classified cluster of 7 singles and one of 8 or more - that therefore is not classified - originates (for this unclassified cluster the statistical natural law intends 9 spins, since 9 is the average-value between a cluster of 8 and a possible higher cluster). Also we can see that the clusters of singles consist in the average of three spins as also the straight series are formed on average from three spins. The clusters of singles are nothing other than series, that are broken off or terminated after each spin. Finally became clear that just as many isolated singles like clusters of singles, just as many clusters of 2 singles like cluster of 3 or more, just as many clusters of 3 singles like clusters of 4 or more and so on, do appear.
The appearance of singles is governed by the same law as the series. Each single or cluster of singles in opposition to the sum of the higher clusters on the same chance.
Table 3: Law of distribution of singles in 1024 spins without zero on all three double even money chances:
BLACK / RED EVEN / ODD HIGH / LOW: 1024 SPINS
Table 4: Law of distribution of isolated series and clusters of series in 1024 spins without zero on a double even money chance:
BLACK / RED: 1024 SPINS
TO BE CONTINUED !
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