"CRACKING ROULETTE WITH A DEALER'S REGULATED NON RANDOM RELEASE OF THE BALL"
With a non random release, the flat bet advantage is looked for at the fifth random trial, at the diameter base.
That is, the pole/pocket of the first trial.
The most common release other than random is the regulated release.
It is widely used throughout Europe and Asia.
By law, regulation or custom, this generally requires the dealer to release the ball over the last successful pocket.
Since the average "distance" between one random measurement and the next is 1/4 of the circle or wheel, the effect of consistently releasing over the last pocket is similar in effect to retarding the distributor advance of an internal combustion engine by 1/4 of the circle of points.
At the fifth retardation, the effect on what would otherwise be random is to return the matter to the beginning points.
This is also true for random number generators.
RNG's do not replicate true randomness in the first instance such as a roulette wheel with a random release would do.
The difference is in the metric.
In roulette with a random release, there is no metric.
The appearance of a metric measure via the "pockets" is only an appearance.
The drop of the ball into a "pocket" is an event of the second order of randomness.
The drop somewhere within .16666 of the wheel's circumference is the first order of randomness.
With RNG's, the randomness is first filtered through the decimal system.
That's enough to retard the natural advance of randomness.
The randomness of an RNG is only "random" relative to our mathematical perceptions. It is not relative to gravity in the first instance.
TAKE A SAMPLE AND USE A REGRESSION
The most effective way to find the advantage for a particular release protocol is to take several samples of approximately 50 to 100 trials for a particular wheel and track where the advantage is appearing on that wheel.
Keep in mind that the Coriolis forces may tend to deposit the ball in a particular relative pocket depending on the manufactured shape of the wheel and frets.
In gaming, there are two forces that are unique to roulette: Centrifugal and Coriolis.
When randomly and geometrically looked for, Centrifugal force adds a .11111.... flat bet advantage the basic universal advantage of .16666 . That is: .16666 + .11111 = .27777.... .
The additional .11111 advantage is the geometric probability of the straight line of a diameter of three poles factored by the algebraic possibility of the three poles squared. This appears to be the tendency towards geometric certainty after three series of three random events, each with the relative pi-angle pole predicted, at the third trial, as a .33333 geometric probability.
It completes the product of 1/3 (that is: the geometric probability of a relative diameter base) and 1/3 (that is: the geometric probability of a relative pi-angle pole).
The middle pole is the COR which is finessed through with the "action at a distance" of the gravity bet.
The product delivers the relative random value of Centrifugal force.
That is: 1/3 X 1/3 = 1/9 = .11111 .
The centrifugal advantage is over and above the .16666 universal flat bet advantage.
The Coriolis force modifies the Centrifugal direction.
The Coriolis is not actually a "force" but is rather a factor of rotation, orientation and perception.
To a person sitting smack in the middle of a rotating wheel, a ball rolling straight out from the COR would appear to roll in a curve.
To a person standing beside the wheel, the same ball would appear to roll straight.
The Coriolis force does not statistically appear in older roulette wheels.
This is due to the steep slope of the rotor (the part of a roulette wheel that spins) wherein the ball drops quickly and for only a short a distance.
In other words, there isn't much bounce before the ball hits a pocket and stops.
However, the Coriolis dramatically appears with the newer "low profile" wheels that were introduced in the late 1970's.
With the sides of the rotor almost flat with only a casual slope, they are designed with an intent to allow the ball more time and room to bounce around.
This is, in theory, to give more "randomness" to the occasion.
From the statistics herein, using "action at a distance" on a low profile wheel, it is apparent the Coriolis tends to averagely "move" the measurement of a dead center pi-angle pocket of a relative pi-angle pole to one side by the distance of: ...precisely one pocket!
Playing the Centrifugal and Coriolis forces delivers another unique phenomenon.
It effectively gives the house an additional pocket.
Since only one individual pocket is targeted by the additional straight line of Centrifugal force, and since a house number will tend to averagely appear with the same frequency as any other number, the house effectively enjoys the advantage of an additional pocket as the house pocket enjoys the success of geometric probability as well as its algebraic possibility.
That is: 3/38 = .07894.... !
In the Pi-Odds Roulette Study, recorded from new low profile wheels, the Centrifugal force appeared with a true flat bet advantage: .27603.... . Allowing for a house advantage: .07894, that theoretically delivers a net flat bet advantage: .19866.... !
In Roulette Statistiks, recorded from older high profile wheels whereon the Coriolis was limited, the Centrifugal advantage appeared as expected: in the dead center pocket of the relative pi-angle pole.
It appeared with a true flat bet advantage: .26666 .
That gives a net advantage: .18276.... !
The results tested in Roulette Statistiks, VOL II, indicate a geometric variation in which a flat bet advantage: .16178.... was found, at the third trial, at the pole/pocket of the relative diameter base!
This may possibly be explained by the fact that Las Vegas attracts dealers from all over the world, most of whom are already trained to use a Regulated release of the ball (as is common in Europe and Asia) or a precise geometric version thereof.
The particular casino recorded in "Roulette Statistiks, Vol II," is in a relatively obscure off-strip Las Vegas location.
As a working casino, it has never been successful and has passed through a succession of owners and bankruptcies.
It may also have been part of a system that was training foreign dealers for American casinos.
Since virtually all foreign roulette dealers are trained in some version of a Regulated release, the statistical phenomenon in "Roulette Statistiks, Vol II," appears to be from a foreign dealer using a unique geometric variation of a Regulated release.
Statistically, from an analytical perspective, that release appears to be a release over the direct opposing pocket (relative pi-angle pocket) from each previous outcome.
This would be a variation of the Quadrant release and would perhaps explain why the advantage was .16666 rather than .08333 .
Since the release protocol is unknown, only future experimentation will show the truth.
Another study of roulette trials of one wheel for one month was published in 1971, “Roulette for the Millions” (O’Neil-Dunne).
It contains 20,000 trials and was recorded in Macao.
The study used a team of people playing 24/7.
The only break was for 15 minutes each morning when the wheel was balanced.
A random selection of over ten thousand trials was analyzed using the geometric finesse.
The selected trials were the first ten days of the month and the remaining Fridays and Saturdays.
Since, in Macao, a dealer’s release is regulated to be over the last successful number, a deeper finesse is necessary, with a rotational variation to the relative diameter base. This is described in CRACKING PI CRACKING RANDOM.
It is carefully noted that O’Neil Dunne reported the wheel was not reversed with each spin. The results gave a flat bet advantage of: .09673.... .
Since the relative pi-angle pole is, with near expected precision, to be twice that of the diameter base, it is apparent the various dealers may have been following a consistent release protocol that would shift the pi-angle focus by a pocket.
For example, the casino protocol may require the dealer to release the ball with his fingers in a certain position that could cause the randomness of the release to be geometrically shifted by a pocket.
This may have shifted the expected results by a pocket.
A book titled “Roulette System Tester” was published in 1995.
It contains 15,000 trials from a variety of wheels in several minor off-strip Las Vegas casinos.
With such a wide variety of dealers, there would have been a variety of releases, some Random, some Regulated, some by Quadrants, some by dealer’s Selection.
The first edition of “Roulette System Tester” contains numerous errors in which parts of various columns of numbers are erroneously repeated.
The publisher has reportedly corrected these errors in a subsequent edition but it is not known if they reflect the original recordings or are patches from a random number generator (which would somewhat skew a geometric finesse unless the patch was known as such and adjusted for).
Using the geometric finesse, and allowing for the publishing errors in the first addition (to avoid statistical distortion if the "corrections" in the subsequent edition in fact came from an RNG as generally appears) the results of all 15,000 trials (less the publishing errors) delivers a flat bet advantage of .08623.... directly on the center pocket of the pi-angle pole.
This is remarkably close to the precision (.08333) of Bell’s Theorem and the Quantum sciences ...which use the same geometric finesse to predict random particle spin.
A study of two wheels, for one day at Casino Baden Baden, also gave predicted geometric results. Like the protocol in “Roulette for the Millions,” the dealer’s release of the ball is Regulated.
However, in Baden Baden, the direction of the wheel’s spin is reversed with each trial. The results of almost 400 trials, with the deeper finesse that is required with a regulated release, delivered a flat bet advantage of .15025... !
A variation of the bet, predicting the Coriolis and Centrifugal forces delivered a flat bet advantage of: .34196... !
Similar results, with near precision, of .08333 and .16666 (depending on how the software program factored direction) have been obtained from books that publish “Roulette” trials but are actually from random number generators.
Additionally, many studies revealed another unusual geometric phenomenon.
A flat bet advantage is nearly always found at both ends of the field or game’s diameter ...but the pi-angle pole tends to be precisely double that of the diameter-base!
The phenomenon of the diameter base (any random outcome) as the first of a series, revisited for prediction with a deeper finesse and delivering a flat bet .08333 advantage, is the result of the diameter base being part of the diameter, but not yet being relative (the relativity of "action at a distance" over three random trials).
This give a diameter base a .33333 geometric probability as a diameter pole as well as an algebraic possibility of .25 on the circle.
That is: a diameter-base that is not relative has a mathematical possibility of 1/12 of the circle. That is: 1/3 (1/4) = 1/12.
Since 1/12 of a 38 pocket wheel is just over 3 pockets, that is what delivers the flat bet advantage. At first blush, there is no apparent advantage since 3 pockets are clearly proximate to 1/12 of the wheel.
The traditional payoff matches the bet. But the non relative diameter base also contains the geometric probability of the algebraic possibilities of the COR.
It is this --the algebraic possibilities of 3 pockets over 4 trials-- that meets the expectations of traditional random theory.
However, the diameter base still contains its own geometric probability: .08333 ."
The geometric probability of the non relative diameter base appears to be the mathematical explanation of "beginner's luck."
Beginner's luck is discussed separately, but in general, it is the natural and automatic geometric probability that is in every series of random outcomes ...but is impossible to find after the third trial without "action at a distance."
That is: it is impossible to find without a geometric finesse. The player who arbitrarily and randomly enters a game, is automatically enjoying the effectiveness of a finesse!!
Without "action at a distance," the fourth bet automatically puts the roulette player into an algebraic system of circles, cardinal poles and quadrature.
That is, into traditional random theory in which there is no flat bet advantage.
Action at a distance keeps the roulette player in the world of geometric probability and pi-angles ...and able to enjoy a very distinct flat bet geometric advantage."