Fitzroy system
The Fitzroy system or Fitzroy progression is a popular form of martingale game that some players use when betting on the easy odds of roulette and trente et quarante .
version 1
In the simple form of this system, the player begins his attack on the casino with a bet of one unit (piece). If the player wins this coup, this game series is ended and he begins a new game series; that is, as long as the player wins, he only ever bets one unit.
But as soon as the player loses for the first time, he bets two units in the following coup . Since the stake is increased after the first loss, this is a form of martingale game.
If the player also loses this coup, he bets three units in the following coup , and consequently, regardless of whether the individual coups are won or lost, always by one more unit than in the previous coup, i.e. he bets 1, 2, 3, 4 one after the other , 5,… pieces until it reaches a positive balance within this series of games.
Variant 2
In the classic variant of the Fitzroy system, the player tries to win one unit for each coup played.
The player bets one unit at a time as long as he wins. After the first loss, he bets three units; if this coup is also lost, the stake is increased by one unit after each coup, regardless of the result, until the goal is achieved.
However, there are still some special features; this sentence technique will therefore be explained in more detail using an example (two losses, one gain, three losses, three gains).
example
1st coup, bet 1 piece, lost, balance –1.
Since the player wants to win a unit for each coup played, the target balance after the second coup is +2; the player therefore now places three units.
2nd coup, bet 3 pieces, lost, balance –4
If the player had won this coup, this series of games would have ended and the player would continue with a unit. However, since the coup was lost, the stake is now increased by one unit to four.
3rd coup, bet 4 pieces, won, balance 0.
The target balance after the fourth coup is +4. In order to achieve this goal, the player does not need to increase his stake any further, so he only bets four again in the next coup.
4th coup, bet 4 pieces, lost, balance –4.
After this loss, the progression continues as if it had not been interrupted before, ie the next coup is played with six pieces.
5th coup, bet 6 pieces, lost, balance –10.
6. Coup, bet 7 pieces, lost, balance –17
7. Coup, bet 8 pieces, won, balance –9
8th coup, bet 9 pieces, won, balance 0.
The target balance after the 9th coup is +9, which means that the stake does not need to be increased any further, and thus the player also bets nine units in the 9th coup:
9. Coup, bet 9 pieces, won, balance +9.
If the player were to lose this coup, he would have to play the tenth coup with eleven units, as if the progression had not been interrupted.
rating
The Fitzroy system, like all other forms of the system game, is of course unable to guarantee permanent winnings - simply because one can mathematically prove with the help of the martingale theory that there is no winning strategy in roulette.
swell
- ↑ Description of the game of Roulette with an explanation of the Fitzroy system in Dutch (PDF; 343 kB)
- ↑ Statistics exercises with an explanation of the Fitzroy system in Dutch ( memento of the original from February 1, 2014 in the Internet Archive ) Info: The archive link has been inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. ( MS Word ; 121 kB)
- ↑ Description of the game of Roulette with an explanation of the Fitzroy system in Italian ( Memento of the original from May 26th, 2008 in the Internet Archive ) Info: The archive link has been inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice.
- ↑ Victor Bethell: Monte Carlo - Anecdotes and Systems of Play , London, 1910, p 141 ff ( Online )
- ↑ Rudolf Heinrich [d. i. Rudolf Bretschneider]: Roulette, Trente-et-Quarante, Baccara, Perlen Reihe , Volume 645, Vienna, 1954, p 33 ff
- ↑ Alexander B. Szanto: Roulette, Trente-et-Quarante, Baccara, Black Jack . Perlen Reihe, Volume 645, Vienna, 1977 (revised edition of Heinrich's book), p 38 ff
- ↑ The Complete Hoyle's Games Revised & updated by Lawrence H. Dawson, London 1950, Wordsworth Reference, reprint 1994, ISBN 1-85326-316-8 , p 283
