Fibonacci Betting System

The Fibonacci betting system is considered one of the more aggressive betting systems since it requires players to increase their stakes at a more rapid pace. Less experienced roulette players may face some problems with following the Fibonacci system as it is a bit more complex, compared to some of the betting systems we have covered so far.

The system is based on and derives its name from the famous sequence of numbers, which gained popularity in Europe after the Italian mathematician Leonardo Pisano Bigollo, also known as Fibonacci, introduced it in his book Liber Abaci. Similarly to the Martingale, the Fibonacci system is based on a negative betting progression and requires players to increase the size of their bets after each loss and decrease it after a winning wager.

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How Does the Fibonacci System Work

The numerical sequence of Fibonacci starts with 1 and each number that follows is equal to the sum of the two numbers that precede it. From this, it follows that the first fifteen numbers in the sequence run as follows – 1-1-2-3-5-8-13-21-34-55-89-144-233-377-610. This sequence is often referred to as “Nature’s numbering system” because it practically appears everywhere in Nature, from the arrangement of leaves in flowers to the bracts of a pinecone.

But how is the sequence applied to the game of roulette? Each of the numbers, listed above, represents the size of a bet. On that note, it is worth mentioning that the Fibonacci system should be applied on even-money bets in roulette, such as Red/Black, Odd/Even and High/Low.

The first thing players need to do is decide on the size of their base betting unit depending on how big their bankrolls are. Typically, the size of the betting unit is recommended to range between 2% and 5% of the overall bankroll.

The first bet in your betting cycle should be equal to one unit. This means that if you have a bankroll of £500, your first bet should amount to no more than £10 or 2% of the overall sum. If your first two bets of £10 are losing ones, you move to the next number in the sequence or 2, meaning that your next wager will be £20 or two betting units. In fact, this rule is applied after each losing bet so if you lose again, your next wager will amount to £30 and so on.

If a win occurs, players are expected to go back two numbers in the sequence. So, if a player wins after staking 8 betting units, this would mean their next wager will amount to 3 betting units. If you win with a wager of 21 units, you go back to number 8 in the sequence and so on.

You proceed this way after each winning bet until you eventually turn a profit for this betting cycle, in which case, you need to go back at the very beginning of the sequence and wager one unit. Then again, if the very first bet is a winning one, you simply start the sequence from the beginning again.

The idea behind the Fibonacci betting system is that it might help players to turn a profit even if they experience several losses in a row because the stakes are increased steeply after each losing bet. This might help players balance out their losses with fewer winning bets.

However, it would be a great idea to set a loss limit for yourself, just in case, since a lengthy losing streak might completely deplete your bankroll, causing you to leave the roulette table empty-handed. For instance, you can decide to stop at number 21 in the sequence. It is not recommended to continue increasing the stakes after the sixth or the seventh number in the sequence.

The Fibonacci System
Spin Sequence Bet (units) Outcome Total Profit
1 1 1 LOSS -1
2 1-1 1 LOSS -2
3 1-1-2 2 LOSS -4
3 1-1-2-3 3 LOSS -7
4 1-1-2-3-5 5 LOSS -12
5 1-1-2-3-5-8 8 WIN -4
6 1-1-2-3 3 LOSS -7
7 1-1-2-3-5 5 LOSS -12
8 1-1-2-3-5-8 8 WIN -4
9 1-1-2-3 3 WIN -1
10 1-1-2 2 LOSS -3
11 1-1-2-3 3 LOSS -6
12 1-1-2-3-5 5 WIN -1
13 1-1-2 2 WIN 1

The Reverse Fibonacci

Like most betting systems that are based on negative betting progressions, the Fibonacci system, too, has its positive progression counterpart, known as the Reverse Fibonacci. Players, who decide to adopt the reverse variation of the system, are expected to follow the same sequence of numbers. Only the system works the other way around.

Thus, if you win a bet, you move to the next number in the sequence, increasing the size of your next wager. Should you lose, you are expected to go two numbers back in the sequence and reduce your next wager. However, many experienced roulette players frown upon one major fault of the Reverse Fibonacci system. In order to turn a profit with this variation, players are expected to have more winning bets than losing ones. Unfortunately, there is no guarantee this will happen in the course of one betting cycle.

The Reverse Fibonacci System
Spin Sequence Bet (units) Outcome Total Profit
1 1 1 WIN 1
2 1-1 1 WIN 2
3 1-1-2 2 WIN 4
3 1-1-2-3 3 LOSS 1
4 1-1 1 LOSS 0
5 1 1 WIN 1
6 1-1 1 WIN 2
7 1-1-2 2 WIN 4
8 1-1-2-3 3 WIN 7
9 1-1-2-3-5 5 WIN 12
10 1-1-2-3-5-8 8 WIN 20
11 1-1-2-3-5-8-13 13 WIN 33
12 1-1-2-3-5-8-13-21 21 WIN 54
13 1-1-2-3-5-8-13-21-34 34 LOSS 20

Advantages of the Fibonacci Betting System

Though more complex, the Fibonacci system may be easier to follow if players memorise the first fifteen numbers in the sequence. Those, who decide to play online roulette from the comfort of their homes, can simply write down the sequence on a piece of paper using their own betting unit. In addition, utilising the Fibonacci system will enable players to generate consistent profits over a short-term period.

Disadvantages of the Fibonacci Betting System

Like all betting systems, the Fibonacci system has several disadvantages players need to consider prior to implementing it at the roulette table and risking their money. First of all, some experienced players avoid the system because the betting progression tends to get a bit steep and aggressive over time.

If you happen to experience a lengthier losing streak, you might end up dwindling down your bankroll or worse, exhausting it completely. Speaking of bankrolls, it is important to mention that the Fibonacci betting system is not quite suitable for players with smaller bankrolls.

Then again, a longer losing streak might result in players reaching the table limit, in which case they will be unable to offset the losses they have sustained by increasing the size of their bets in accordance with the Fibonacci sequence.

The last disadvantage of the system is that the math tends to get more complicated with higher numbers on losing streaks. However, this issue can be easily solved by writing down the sequence of numbers on a piece paper. Also, players should not forget that like other systems, the Fibonacci system cannot reduce the house edge or affect the outcome of subsequent spins.