The best-known systems
Continuing our review, in this section we present a selection of systems, among the best known
and for the simplicity the most played on the roulette tables, some of which are
attributed to the distinguished mathematicians of the past.
We try to explain the logic of operation giving evidence of its strengths and weaknesses.
The D'Alembert system
The American-Martini system
The Dutch progression
The D'Alençon progression (progression in win)
The Garcia system
The Insurance system
The D'Alembert system
One of the most popular systems among the players is attributed to French mathematician D'Alembert.
It is based on a very simple method and apparently effective.
Starting from an initial bet of 1 unit to be carried out on an Even Chance, when you lose the
spin the next bet is increased by one unit and if we win it decreases by one.
For example: lost the initial bet of 1 unit, next bet will be 2. Lost the second bet, next is
increased to 3 units. Won the third attempt next bet is 2 units, lost the fourth spin,
next bet is again 3 units and so on until we have won the last bet of 2 units.
Since every winning bet aside a losing bet of lower value, for each pair of bets a loser and
one winner will get the win by one.
It follows that a game that ends after 50 spins produces 25 units of winning.
The defect of this system is inherent in the fact that to quit the game you need a return
to balance between winning and losing bets.
We are well aware that the condition of equilibrium is the exception rather than the rule.
But even more, try to assume that a game reserve to start a wave of betting. These will be
won without entering into the mechanism of balance of the system.
If after the game made a series of bad bets it will have an increase in bets without
benefit of the initial effects of the match despite having a substantial condition of
The American-Martini system
Joy and sorrow for many players.
You write four numbers 1 in a column. The goal of the system is to win the four units just scored.
The game starts with a bet of 2 units. If the spin is lost we have to write 2 in column
with the four 1. If the spin is won we erase the first and the last 1 of the column.
We suppose that the bet was negative so we added 2 to the column. The next bet will be 3
units equal to the sum of the first and the last number of the column.
If the bet is lost we will add 3 to the column, if successful we will cancel
the number 1 at the column top and the number 2 at the bottom. The next bet will always be
equal to the sum of the numbers at the top and bottom of the column.
When we will delete all the numbers we have won the four initial units.
The merit of this system is that for every bet lost we must add 1 number and delete it 2
for every spin won. So to close a game, we need a number of winning spins equal to half
of losing plus 2.
It seems perfect, a system that can achieve a positive result even when faced with a negative
deviation. Unfortunately, should also be considered the negative aspects.
First of all, as the D'Alembert system, a series of positive spins lead to an immediate
win with no effect on the system but moving in its favor the deviation.
Another defect in our view the most important, is that if the system experiences a
series of negative spins alternating with other winners, but not sufficient for closure,
will result in the cancellation of the numbers at the top of the list (they are always
smaller ones) and we will be forced to add always higher at the bottom with an increase
of bets that can reach significant values.
The Dutch progression
This system also known by the name of Stanislas Progression is based on the same principles
of the D'Alembert system delivering the same performance but with a different logic of
The trend of betting follows this approach: Even Chance played on, lost the first spin
we note 1, and we begin to point 2 units.
Lost the second spin we write 2 in column to 1 and we continue to bet 2 units to
get the winning spin.
Once won we remove the number 1 from the column, and we turn to bet 3 units.
For each winning spin we cancel a number 2 and we add a number 3 for each loser spin.
Erased all the numbers 2 we turn to bet 4 units and again for each winning spin we cancel a
number 3 for every loser we add a number 4.
We continue with this sequence until the cancellation of all the numbers written to coincide
with the return to balance between winning and losing.
When the balance is achieved in a short time, commitment of capital is lower than
necessary for the D'Alembert system.
If the game continues, the situation changes radically.
The D'Alembert system at a time favorable returns to the lowest bet to the point that when
faced with a partial positive outcome, the player may decide to close the game before
giving up smaller stakes.
The Dutch progression system as a consequence of the fact that erase the low figures
and write the most high, hardly reaches a positive condition that allows a possible
early closure, relegating the success only to a return of the balance between winning
The D'Alençon progression
The D'Alençon progression, played on even Chance, is a system that applies a progression
in winning. Let's see how it works:
The following sequence of numbers is the reference point for the bets to be made:
2 - 3 - 4 - 5 - 7 - 9 - 12 - 16 - 21 - 32 - 47 - 67
The game begins with the bet of 2 and repeat the same until the first spin wins.
After the first shot won we turn to bet 3. If we win we go to 4 and if it is still winning
go to 5.
We go forward until we win while at the first loser spin we go back to initial bet of 2
and we start again.
This procedure is applied until we do not find a winning series of 6 spins
(up to value 9 winner).
At this point we move on to bet 12 and if it is successful we continue to move forward. If
is a losing bet we go back to 7 (two steps back). If the bet 7 is won we go forward,
if it is a losing bet we go back to bet 2 and we will start again.
Losing the eighth spin (bet 16) we go two steps back to bet 9, winning
we proceed forward losing we will start again.
Going forward we continue to apply the technique of the two steps backward in one loser.
When we miss a spin from bet 32 onwards, and we lose the next two steps back,
we do 6 steps back and we proceed as whether the list of numbers starting from that number.
For example, lost the bet to 32 and then 16 we go back to 3 by eliminating the
number 2 which will not come more into play. Won the last bet of 67 the game ends and
start again from the point of departure.
We try to give an opinion on this system definitely aggressive.
Choosing an Even Chance to put into play, the statistics shows that meet a series of 20
spins of the same type is not so rare. Now if it is contrary to the point remains that not
suffer from them. But if it is favorable, why stop at bet 67 is only the twelfth?
Certainly we can think of extending the series by adding more numbers but we can imagine
what kind of play will be performed?
It is our view that a system with such a technique should be one of the methods of the
most violent game in which we declare without a doubt against.
A player who intends to apply a system to the game of Roulette is to always be calm and
present conditions by avoiding stress that may cause it to take the wrong decision.
The Garcia system
It takes its name from a Spanish player at the beginning of the last century began to
play in the Casino of Montecarlo.
It is a system for the game on Even Chance proved very effective although subject
a decidedly high stakes.
Let's see how it works:
Observed the first spin as a reference, the game proceeds with bets against the color out.
If, for example, came out black, the bet is 1 unit on Red. if it is winning the series
takes place closes and another begins.
Being out Red, the new series begins with a unit bet on Black. if it is successful,
it closes again and being the last number Black the next batch starts with the Red.
Basically the game goes against the color out getting one unit win for every intermittently.
Returning to the first round of betting where the first bet was a Red, if it had been
losing (another Black out), the second bet ever was 3 units a red and if it had been
successful would have won 2 units closing the series.
But if it had been lost, the third bet of the series would become of 7 units always a Red.
Again, if the third bet was a winner would have won 3 units closing the series and
starting a new one always against the color of the last number came out.
It is noted that the system in the absence of groups of 4 numbers (or higher) of the same
color ensures a winning unit for each issue.
It remains to be analyzed as the system proceeds in front to the draw of 4 or more numbers
of the same color.
Let us summarize: after the first number we have assumed Black the bet is one unit in Red.
At the draw of second Black number the bet is 3 units and become 7 units after the draw of
third Black number always in Red.
With the draw of fourth Black number, which has lost the bet of 7 units, we are faced with
an overdraft of 11 units result of the sum of the three lost bets (1, 3 and 7 units).
Given this condition the system change strategy. Left the game with intermittent assuming
the draw of a group of 7 numbers of the same color.
Having already released 4, 3 will remain to complete the sequence.
Divide the overdraft for 3 and start betting the color came out to retrieve it in the hope
that we will form a series of 7 numbers of the same color.
Therefore, considering the rest of the division, the first bet will be 4 units,
if it is winning the second bet will always be of 4 units to get to the last of 3 units
also for winning bet.
If the 3 bets of recovery are winning all the overdraft shall be canceled and the game
can resume from the beginning with the series of bets against the color of the last
number came out.
Suppose instead that the recovery attempt is not successful and the first bet of
recovery is lost. In this case, the recovery procedure was interrupted, overdraft are added
to the 4 units lost in the first bet bringing it to 15 units.
At this point, the system returns to bets on intermittently until a new formation of 4
numbers of the same color. This on the one hand it will increase the overdraft to 26 units
(there were 15 plus the 11 lost with the new formation), the other will offer a second
attempt to recover again assuming a formation of 7 numbers in color.
The 3 bets of recovery will be of 9, 9 and 8 units (overdraft divided by 3). If the 3
recoveries go well, the overdraft will be canceled and the system will have produced a
winning unit for each intermittently.
What we can see in this system is the presence of two distinct phases of play: the first 3
bets of 1, 3 and 7 units on intermittently to achieve the win,
the second with the bets in the same color for 3 consecutive spins used to recover the
We conclude with a brief analysis of this system.
Although it has been able to procure large payouts to the creator, this system must be among
those at high risk for the high stakes of recovery that often the game entails.
Seeing it instead from a technical viewpoint, we must point out that its closure is linked
to the formation of a sequence of at least 7 numbers of the same color.
Condition very frequent on the tables of Roulette, but sometimes can take considerable
delays at the point of raising a decidedly high values the overdraft.
Last but no less important, a merger of groups of 7 elements at the beginning of the game
would not be exploited properly relegating the closure of a formation that may have significant
The Insurance system
It is a system that has many similarities with the previous presented. It also provides for
the overdraft and a method for its recovery.
Let's see how it is structured:
Chosen the color of one of Even Chance (eg. Red), we will make progressive bets of 1, 2, 4
and 8 units. We begin with the first bet and we accumulate any winnings.
At the first loser spin (which is drawn the Black), the bet on Red is 2 units,
at the same time the system introduces the mechanism of insurance that includes
stakes in Black.
This technique is based on the assumption that if after the draw of the first Black
we have 3 other Blacks the result of bets on Red would be of 15 units lost (the sum of 1+2+4+8).
Against this hypothesis, the system puts the insurance. The 15 units of potential loss is
divided by 3 and placed on the Black together the bets on Red.
Of course, bets placed will be determined by the difference between those in Red and Black
ones (ie: after the draw of the first black, the bet goes to 2 units on Red while the
insurance bet on Black is 5 units. The bet turns 3 units on Black).
If is drawn a Red number the bet on Red restart again by 1 unit while the 5 units of insurance
lost on the Black are set aside in the overdraft.
If it is drawn Black, the insurance bet is won and the bet on Red is lost.
Then we move on to define the stakes that are 5 units on Black (second part of the insurance)
and 4 units on Red (third bet of progression) with the result of having a bet of 1 unit on
Black (5 on Black against 4 on Red).
Again, if it is drawn Red, the bet on Red again restart from 1 unit while the 5 units lost on
Black cancel the previous 5 units won leaving the overdraft at zero.
But if it is drawn Black the second bet of insurance is won and the bet on Red is lost.
The next bets are 5 units on Black (third party insurance) and 8 units on Red (the fourth
bet of progression) for a bet spread of 3 units on Red (8 on Red minus 5 on Black).
If it is drawn Black winning full insurance compensates the loss due to progression and
the game can start again.
If it is drawn Red bet on red again restart by 1 unit, while the overdraft may use 5 units
won with insurance that will be deducted at the next application.
Let us return to examine how the system proceeds after the draw of the first Black and the
We said that the bet by the progression on Red is won while the first bet of insurance on
Black is lost so the overdraft is of -5 and is temporarily shelved.
The system is on hold until the draw of the next Black to apply again the insurance.
At this point the value of bets insurance are linked to 15 units to ensure plus the 5 units
of the overdraft. Insurance bets are then 7, 7 and 6 for a total of 20 units.
Again we apply the bet spead and the overdraft collects the insurance bets.
The system proceeds with this mechanism until it meets a series of 4 Black numbers
that permit recovery of the overdraft and closure of the game.
Let us also comment on this system.
The success of each is linked to the formation of a series of 4 numbers in a different
color to that chosen for the bets of progression.
This condition, although quite frequent, may submit late appearance by raising the stakes