When surfing the internet I came across a bachelor thesis on probability in games of chance. Its author is Luke Kosnar and certainly no coincidence that the student of the of West Bohemia University in Pilsen, Faculty of Applied Sciences. In his work deals with the theory of probability in relation to gambling. It represents the most played games of chance (lotteries, roulette, craps and poker). Certainly the most interesting part is the practical verification of guaranteed gaming systems. It focuses on three best-known and Martingale, d'Alembert and Fibonacci. Below is a description of these strategies:
Martingale Principle
The system is based on betting on the straight bet. This means the bet when the payout ratio of 2:1. The roulette is considered as equal stakes betting on the color (black, red), even and odd numbers, or large and small numbers (1-18 and 19-36).
Strategy Martingale System is that every player in the doubles event losing their previous bet. The prize is either a bet or guess right the first time to be the tenth time, always equal to the basic bet (ie bet that punters bet at the start of the system). For example, players will bet 1 EUR on red. For the first time fit black, the gain of player is -1 EUR, and once again falls black, the gain is now -3 EUR, the third time already red fall color, sázejícího profit is: win = (2 x 4) - 4 - 2 - 1 = 1 EUR. Bettors then guessed the color and the third time, and his profit is EUR 1, which is the size of bets, which originally started. The disadvantage of this strategy is that in the case of a long series of losses is increasing rapidly bet for the next round (multiples of the basic deposit: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, ...)
The principle of d'Alembert
Like the previous strategy system is betting straight bets. The player starts by betting 1 unit. If you win the very first bet, and ends with an imaginary "series". If you lose, bet in the next round of more than 1 unit, or 2 units. Winners in the event of failure, always increase your bet by 1 unit in case of winning, the bet reduced by 1 unit. The series ends whenever the players bet 1 unit and win the bet. The system is more in terms of increasing bets against the martingale system.However, it is profitable only when a favorable long-term series.
The principle of the Fibonacci
This is again betting on the straight bets in roulette. The size of bet is based on the Fibonacci series, which looks as follows: 1, 1, 2, 3, 5, 8, 13, 21, 34, ... series is formed so that they always add the last two numbers. For example, number 21 of the Fibonacci series is obtained by adding the previous two numbers 8 and 13Winners will bet an amount of 1 and, if losing, bet bet in the amount of the last two members back. If he wins, deleting the last two numbers of the series and continues to bet on. In comparison with the system is the Martingale roulette system is friendly, the player in case of failures may not expend such sum as the Martingale. Advantage over the D'Alembert system is the fact that the player does not have to wait for too long a series of favorable and faster way of getting losses.
For us the most interesting parts of the above work is to check the above"miracle systems" in practice. The systems were tested in simulations with these parameters:
1) Number of players - 10 000
2) Initial capital - 100 000 EUR
3) The initial bet - 10 EUR
4) The maximum bet - 50 000 EUR
5) Number of laps - 50 000
The results of this simulation clearly showed that none of these systems will bring players gain.
The fastest you will lose money if you use a system of d'Alembert. MartingaleSystems and Fibonacci have similar results. Keeps you in the game longer than the principle of d'Alembert, but long-term play for money as you go. Do not play because the system money, but just for fun.
