What the Law of the Third works

The standard version of roulette consists of a wheel with 37 numbers and, over the course of 37 spins, it is clearly difficult to imagine that the roulette ball would fall into all of the available numbers, there will be some numbers which do not become winning numbers even once whereas others will become winning numbers more than once. To be specific, there is a greater probability over 37 spins that the roulette ball will fall into two thirds of the total possible numbers, approximately 9 numbers will be repeated twice, 3 will be repeated on average three times and, in effect, a third of the numbers within the cylinder will not become winning numbers even once. This rule relating to the peculiarity regarding the mathematical division of winning numbers has been named The Law of the Third.

How can the Law of the Third be Tested

We find the possibility that, upon throwing the roulette ball 37 times, some arbitrary number falls twice. Applying the test method contrariwise: given that we are dealing with a repetition, we need a number that has already fallen and the chance that it will again become the winning number which is discernible should it be that this will not be the winning number again in the subsequent 36 spins. In other words, in each spin any number may become the winning number, except the initial winning number. But the probability that this number will be the winning number is 36 in 37, and, the possibility that this will occur within 36 spins is equivalent to (36/37)^36.

In this way, the chances or possibilities in point which we need from the arbitrary repetition is equivalent to: 1-(36/37)^36=0,6271

Therefore, each number that has already become a winning number has 1.6271 chance in every 37 throws of the ball. Correspondingly, 23 numbers will win on average 37.42 times, being more probable that of these 23 numbers we have 23 X 0.6271 = 14.42 repetitions.

The first repetition will be produced most probably on the 8th throw. With this, on the 25th spin, there will already have been 5 repetitions of distinct numbers and one number should have been repeated three times.

As well as theoretical tests, the validity of this roulette strategy has been tested numerous times in practice and throw simulation and computational imitation of the immense quantity of spins (hundreds of millions) to find if observation of the theory in practice agrees with theory. This Law has also been tested by analysing the statistical data produced from these spins and throws of the roulette ball upon roulette tables in real land based gambling establishments.

Tangible Benefits from the Application of this Law while playing Roulette

The simplest way to understand and make use of a strategy derived from the Law of the Third when applying it to roulette is, having chosen a particular spin, start to bet on the gaming field on those numbers which have already become winning numbers at least once, whilst trying to guess which ones will be repeated. A more advanced option in this betting strategy according to the Law of the Third is knowing of by heart the theoretical calculations of probability for each consecutive spin and a more qualified correction of bets in the case of a strong divergence of the prevision according to the theory of how the real winning numbers will be spread. This method of play is adequate exclusively for players with a great deal of experience, a good memory and capacity for fast mental calculation.

When deciding to play roulette according to this Law, it is also advisable that the player bear in mind one great truth: any mathematical calculation and theoretical operation applied to the game in a casino gains force and begins to give fruit in practice only with the passage of a given time! The longer the sequence of successive throws, the higher the probability that the real result will be similar to the theoretical calculation, and with a "higher quantity" of throws we refer to a certain number of thousand or more throws.