The great martingale: a method to win at the casino

The large martingale is a technique to gain with at the same time simple and effective casino. It exploits the theory of probability on a principle very close to that to rising of Hawks. Traditionally used with the roulette, one will be able to make use of it with the majority of the games of pure chance proposing a bet to which the probability of supervening is close to 1 chance out of 2.

The principle of the large martingale

The large martingale can be used to bet on an event having with little prus a chance on two to occur. It is in particular the case with the roulette to bet for example on a color. But of other games proposing this type of bet will be able to make the deal.
It is directly inspired by the martingale of Hawks and in is an optimized alternative. Thus after having put on the event the basic setting, one starts again in the event of success. In the event of failure, one put on this same event by doubling the setting and by adding the basic setting, and this until obtaining a success. In this way, each gaining blow will continue to save the basic setting. But each blow losing will be also remunerated by the amount of the basic setting at the time of the blow gaining according to. Final, this martingale makes it possible to gain a basic setting by played blow.

Example of use of the large martingale

In our example one will simulate part of roulette. One will misera systematically on the red. In the following table one describes for each blow the setting and the detail of the profits and the losses.

BetWagerResultProfitsBalance
1000
1Red1Red11001
2Red1Red11002
3Red1Black-11001
4Red3Red31004
5Red1Black-11003
6Red3Black-31000
7Red7Black-7993
8Red15Black-15978
9Red31Black-31947
10Red63Red631010
11Red1Red11011
12Red1Black-11010
13Red3Black-31007
14Red7Black-71000
15Red15Red151015
16Red1Black-11014
17Red3Red31017
18Red1Red11018
19Red1Black-11017
20Red3Red31020
21Red1Black-11019
22Red3Black-31016
23Red7Black-71009
24Red15Red151024
25Red1Black-11023
26Red3Red31026
27Red1Red11027
28Red1Black-11026
29Red3Red31029
30Red1Red11030

It is seen that the balance increases overall, even if there are more blows losers (16) that gaining blows (14). The balance of the profits is higher than that of the losses. As agreed, after 30 disputed blows, one gained 30 times well the basic setting.

Advantages and disadvantages of the large martingale

The first disadvantage of this martingale is the exponential growth of the wagers, even stronger than for the martingale of Hawks. It is necessary for this reason to supervise very close the maximum wagers authorized by the casino.
The main advantage of this technique is to ensure a constant profit, whatever the events. One inevitably gains the number of blows played by the amount of the basic setting.