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The Fibonacci Strategy

Welcome to what is probably one of the most interesting Roulette strategies we have reviewed and practised. This is yet another method that relies on negative progression – which in the game of Roulette is generally a rule of thumb considering the house always has the edge. However, the Fibonacci system does do a good job of turning negative numbers into positive!

In this guide, we will cover:

  • Key feature of the Fibonacci strategy
  • Show you how to implement it
  • Run through a demo scenario

Why would I choose the Fibonacci Strategy over other strategies?

For one, some strategies like the Martingale can be tedious after a while and risky; while strategies such as the D’Alembert may be a little too much on the same safe side. Consequently, the Fibonacci strategy is somewhere in the middle along with the Labouchère system.

You are not doubling your bets for one, so this slows down the chances of running out of chips. instead progressively increasing your bet size each time you lose in faster manner compared to the D’Alembert.

Features of the Fibonacci Strategy:

  1. Increase your bets after every loss
  2. Use a strategic system to calculate your next bet
  3. A winning bet covers your losses
  4. You need a reasonable size chip stack to play

Point number 4 is worth noting. Although this is a system to reduce the risks involved with doubling your bets like with the Martingale, there is still a chance the betting can get quite high if you go on a losing run. Therefore, if you are looking for a safe system to play with a lower bankroll, then we would recommend trying out the Paroli or D’Alembert methods.

About the Fibonacci Method

leonardo pisa roulette systemIt might sound strange, but Leonardo of Pisa was the person that invented the Fibonacci system. His name was indeed Fibonaccishort for Filius Bonacci; a name that he gained through his publications of mathematical theories – most notably a book from 1202 called Liber Abaci.

Prior to this, the Fibonacci sequence as it is known, was seen in early Indian mathematics via the Sanskrit tradition.  Fibonacci continued the work and brought the Fibonacci sequence into the public arena. It is also worth noting that it not intended for Roulette, but for business purposes.

However, not the Fibonacci sequence has been applied to the game Roulette, and this is where the name the Fibonacci Roulette Strategy became known.

Pros to the Fibonacci Strategy:

  • Reduces the risks involved with doubling bets
  • A single win can recoup all losses
  • Goof potential for profit

Cons to the Fibonacci Strategy:

  • You need to make sure you have good size chip stack to start
  • There is a small chance of hitting the table betting maximum
  • You need to concentrate to keep track of your bets

For this system to work you need to be patient. This is simply because you are only using this system to chase your losses. As a result, it is designed to make as much profit as you can from a negative situation. However, to make that profit, you need to take some risk and be comfortable with playing from behind.

The strategy is obviously a lot more fun if you started the night with a few wins!

Features of the Fibonacci System

This is yet another strategy that uses the outside even odds bets on the Roulette board. These bets are the lowest paying bets in the game, but they are also the least risky.

The odds of winning an even odd bet

Depending on the type of Roulette table you are playing on, the odds are 18/37 (European Roulette Games) or 18/38 (US Roulette) of winning an even odd outside bet.

Even odds outside bets include:

  1. Odd or Even Numbers
  2. Black or Red Colour bets
  3. Low (1-18) or (19-36) High Bets

Even odd bets pay-out calculations

When you win an even odd bet you are given your bet back, plus an amount on top equal to the amount that you bet. That to say if you wager £10.00, then you will be paid back £20.00 netting you a £10.00 profit. If you bet £5.00, you will be paid back £10.00 – a £5.00 profit and so on.

Other Key Features:

  • Move back to the amount bet 2 coups before
  • When you lose you add chips by adding together the previous 2 bets
  • Never change the outside bet you have chosen
  • Choose a starting number to begin your Fibonacci sequence

In the first 2 points made, the way you increase and subtract your bet size is all performed using the mathematical Fibonacci sequence. This is something we will explain in much more detail in the sections below.

At first glance, it seems like you could be doubling your bets, but in fact you are increasing your bets an amount that is less than double, which is why this strategy is less risky than the Martingale. It is also a lot more complicated, so you will need to have a good memory or if you are playing online – a pen and paper!

Do I need to have played Roulette Before?

With many strategies that you use for any game, it is both mathematical and memory prowess you are using. You just need to be human to be able to implement the Fibonacci System!Beginners should not be scared, especially if you have already conquered your first few sessions at the Roulette tables.

If you are thinking about playing any casino game, and you are already reading about strategies to start off your casino gaming experience, then you are on the right track. Kudos to you.

The best way to learn any casino game is obviously to crack on and play, but add a strategy to this and you are already ahead of the game.

The Fibonacci sequence is for anyone that wants to learn it.

For those of you that are worried about learning a new game and also learning a strategy at the same time, then maybe you should consider the Paroli strategy to begin with or the d’Alembert system. You can also look into the Martingale System if you have a decent casino bonus that has already doubled your bankroll.

Despite having easier systems to master available to you, learning the Fibonacci System certainly is not difficult and we would not want to put you off.

Reasons not to use this strategy:

  • Worried about learning how to play Roulette and a strategy at the same time
  • You do not have a large casino balance that you can afford to lose on a downswing

Good Reason to use this strategy:

  • New player with a decent balance
  • Confident with learning both Roulette and strategy at the same time
  • You are a seasoned Roulette player looking for a decent side bet

In brief, you need to determine the variables that most apply to you. There are very few reasons for beginners to decide to avoid this strategy, but also there are personal circumstances that may mean another strategy is better for you. Just take note that the Fibonacci System is not the easiest!

How to Use the Fibonacci System

Now we get down to the nitty gritty details of this system at long last. In this section, we will present the rules involved with using the Fibonacci strategy. Later will walk you through a scenario so you can take into account all the parameters needed when you sit at a Roulette table.

First:Decide on the “starting number” in the sequence you want to start with

Choosing a starting number of 1 is suggested when you begin to use this strategy. However, if you are playing at a table where the minimum outside bet is £5.00, then £5.00 would be your starting number. For now, we will £1.00 bets as our example to keep it simple.

Let’s look at how this sequence strings together after several losses:

Note: (In this sequence, a = bet 1, b = bet 2 and c = bet 3, etc…)

  1. £1
  2. £1
  3. £2
  4. £3
  5. £5
  6. £8
  7. £13
  8. £21
  9. TBA
  10. TBA

For the first 2 bets you make, when you lose, your bet amount stays the same. This bet amount is the starting number you will have chosen in your sequence.

On bet c), you are adding bet a) and bet b) together to get the total amount. Likewise, if you lose bet c), for bet d) you will add the precious 2 bets together to get the total; in this case b) £1 + c) £2 = £3.00.

The sequence continues, and in our example, you can see that we have chosen an unlucky downswing of 7 lost bets from a) to h).

What happens If you win a bet?

To begin with, we need to figure out the amount for bet i). Try and figure it out for yourself before we move on. What will happen next is on bet i), the player win.

Here is the mathematical sum for the next bet:

  • Bet g) £13 + Bet h) £21 = £34.

You have now places your bet and the croupier spins the wheel. The bet comes in as a win. At last, after 7 spins, the 8th one comes in trumps. You are paid £34 + £34 = £68.All that is needed now is to prepare for the next bet – Bet j).

  • Bet J is very easy to figure out. You just need to take 3 steps back in the sequence.

If we move 3 steps back, we come to the bet we made for bet g). That means the next bet amount for Bet j) is £13.

You continue using the sequence in this way with the rule of thumb that:

  • After a loss you need to add the previous 2 bets together to get the next bet amount
  • After a win, you need to take the amount bet 2 bets prior

In this table, we show you what would happen if you lose 10 bets in a row using the Fibonacci System:

Bet No.UnitSumBet SumsUnit £5Unit £10Unit £100
Bet 11N/AN/A£5£10£100
Bet 211 + 0Bet 1£5£10£100
Bet 321 + 1Bet 1 + Bet 2£10£20£200
Bet 431 + 2Bet 2 + Bet 3£15£30£300
Bet 552 + 3Bet 3 + Bet 4£25£50£500
Bet 683 + 5Bet 4 + Bet 5£40£80£800
Bet 7135 + 8Bet 5 + Bet 6£65£130£1,300
Bet 8218 + 13Bet 6 + Bet 7£105£210£2,100
Bet 93413 + 21Bet 7 + Bet 8£170£340£3,400
Bet 105521 + 34Bet 8 + Bet 9£275£550£5,500

As you can see, if you are betting £5.00 as your starting bet, your safest bankroll would need at least £275 – £300 to cover 10 losses. For £5.00, you would need around £550, and for £100 you need £5,500 at the very least.

How do I cover the risk of 10 losses in a row?

It is highly unlikely you will lose 10 coups in a row, but this table gives you an excellent idea of what to do if you are on a losing streak.

  • Always take your starting cash bet amount and multiply it by 55
  • £5.00 x 55 = £275
  • £10.00 x 55 = £550
  • £100.00 x 55 – £5,500

If you take x55 the amount of your starting bet to the Roulette table, you will not stand the risk of running out of cash as the chances of losing 10 spins in a row are almost impossible!!!


How do I calculate losses and wins together?

  1. In the above explanation, we firstly showed you examples of a losing streak turning it into a win to finish off the sequence.
  2. We showed you a table where you stand the risk of losing 10 coups in a row, and how to cover yourself from this very and highly unlikely eventuality,

In our next example, we show you a player that wins and losses during a 10-coup session. This is a more realistic situation.

Bet No.SumBet SumsBet AmountWin/LossWin AmountProfit/Loss
Bet 1N/AN/A£5Loss-£5-£5
Bet 2N/ABet 1£5Loss-£5-£10
Bet 3£5 + £5Bet 1 + Bet 2£10Loss-£10-£20
Bet 4£5 + £10Bet 2 + Bet 3£15Win£30-£5
Bet 53 Steps BackBet 2£5Win£10£0
Bet 63 Steps BackBet 3£10Loss-£10-£10
Bet 7£5 + £10Bet 5 + Bet 6£15Loss-£15-£25
Bet 8£10 + £15Bet 6 + Bet 7£25Loss-£25-£50
Bet 9£15 + £25Bet 7 + Bet 8£40Win£80-£20
Bet 103 Steps BackBet 7£15Win£30£10

Can you spot the most significant aspect to this profit?

  • The answer is that the player has lost 6 spins, and only won 4 spins. However, at the end of this, the player is showing a profit.

Betting without the Fibonacci method:

  • Had you bet without this strategy, the result at this point would be a loss.
  1. Let’s say you bet £5 on 10 coups with no strategy in place
  2. You lose 6 coups costing you £5 x 6 = £30
  3. You win 4, so you get £5 x 4 in profit returned = £20
  4. Overall, you would have made a £10 loss despite the same number of wins and losses

Overall, with the It can take some time before you get back to the original bet that you chose as your starting bet. Be prepared to have a lot of patients, but eventually as variation evens out and the laws of probability start to come back to something that makes sense to use all, you will start to reap the benefits of this system.

 Does theFibonacci System help me become a winning Roulette Player?

No system can guarantee that you will become a winning Roulette player. What it does do is stop you blindly betting with no structure or system in place. It reduces your losses during a downswing, which ultimately means when you are on an upswing, your profits will be higher.

Why will my profits be higher?

Losing less during a downswing means that you should have preserved a lot of your chips, which equal cash. As a result, it stands to reason that because you preserved those chips, the gap between a loss and win is lessened, and so you stand a better chance of making a profit.

What happens when you do not use a strategy?

The problem with many people that lose a lot when they play Roulette is that they do not approach the game tactically. The Fibonacci System is a tactical strategy that will increase your chances of winning.

In fact, no strategy has been published or become well-known because it doesn’t work or help. The Fibonacci strategy works, and therefore it is still around today and heavily associated with Roulette even though it was not intended as a Roulette system.

One of the main purposes it serves is that it helps players stay at the Roulette tables for longer. At the same time, it also offers purpose to the way that you bet.

Upswing and Downswings

With its incremental increases, as mentioned, it will help players reduce their losses during a downswing.

This is a huge part of gambling. All gamblers are aware that probability is not consistent. That is to say, if you roll a dice, there is no guarantee the number 6 will come up every 6 rolls. In fact, we all know that sometimes we can go up to 20 rolls before the 6 rolls in.

In Roulette, despite the 18/37 chance of winning an even odd outside bet, when you look at the history board it never seems to play out the way probability says it should. Variation is taking its toll on the game.

When this happens against a player consistently for many spins, this is a downswing. The Fibonacci strategy is designed as a system to help players reduce their losses when this happens while at the same time have a fighting chance of winning.

Eventually, when a player gets an upswing, due to the low losses made, the upswing will pay out a nice tidy profit worth talking about.

The Fibonacci Strategy in Action!

Now that you have been able to absorb all the inner working of this method, let’s visit a casino and implement the strategy in a live scenario.

We walk into a casino in London and site a table with following:

  • Inside Bet Minimum – £00
  • Outside Bet Minimum – £10.00
  • Inside Bet Maximum– £00
  • Outside BetMaximum – £00

These are by no means the actual limits your will come across in a real casino, but each stipulation gives you an idea of what to look out for before you sit down at a casino table.

Now we need to decide on a number to start on:

  • We will start on £00 as this is the minimum bet
  • Bankroll: £10 x £55 = £550 (£500)
  • Outside Bet: Even

Even though we are eliminating the risk of losing 10 successive coups by multiplying £10 by 55, we will only take £500 to the table as the Outside Bet Maximum is £500.00. We just have to hope for now that we do not go over 9 lost spins.

Let’s Begin

After checking out the history board, there is not much difference between the outside bets. The one that seems to stick out the most is there have been more ‘odd’ numbers come up than ‘even’. You decide that the best course of action is to go with the laws of probability and choose even bets.

Bet No.Next ActionBet SumsBet AmountResultWin/LossPay-OutBet Profit/LossBank Roll(£500)
Bet 1N/AN/A£10EVENWin£20+£10£510
Bet 2N/AN/A£10EVENWin£20+£10£520
Bet 3N/AN/A£10ODDLoss£0-£10£510
Bet 4£10 + £10Bet 2 + Bet 3£20ODDLoss£0-£20£490
Bet 5£10 + £20Bet 3 + Bet 4£30ODDLoss£0-£30£460
Bet 6£20 + £30Bet 4 + Bet 5£50EVENWin£100+£50£510
Bet 73 Steps BackBet 4£20ODDLoss£0-£20£490
Bet 8£50 + £20Bet 6 + Bet 7£70EVENWin£140+£70£560
Bet 93 Steps BackBet 6£50EVENWin£100+£50£610
Bet 103 Steps BackBet 7£20ODDLoss£-£20£590

This is a great example of a very natural session.

  • You started off with a couple of wins
  • Betting stayed relatively low
  • Low risk of losing your bank roll
  • Equal number of wins and losses = £90 profit

Once again, you are beating the house edge as with our previous table above where we explained how to implement this strategy. This is proof that you stand more chance of becoming a winning Roulette player if you are willing to learn and implement a strategy.

Practice the Fibonacci Strategy with a Fat Welcome Bonus

If you are worried about the fact that you want to bet £5 per bet and need to multiply this by 55 to avoid the risks involved with losing 10 spins in a row, then casino bonuses will most certainly help.

  • Welcome Bonuses Still Rule the Roost
  • 100% Deposit matches
  • 200% Deposit matches

Online casinos most profitable bonuses are by far the new player bonuses they offer known as a Welcome Bonus. In the example above we show 100% and 200% deposit match bonuses. This means the online casino will match the amount of cash you deposit by this percentage.

  • 100% = Deposit £250 and get £250 free = £500 casino balance
  • 200% = Deposit £200 and get £400 free = £600 casino balance

It is completely up to you how much you deposit. Most online casinos will allow you to deposit as little as £20.00 when you join. They will honour that deposit with an amount on top if you use their Welcome Bonus code at the time you make the deposit.

The Best Online Casinos for Roulette and Welcome Bonuses

All these casinos come with very fair Play Through rules applied to their bonuses, and they are all fully trusted. We have tested their deposits, withdrawals, and gaming functionalities as well as customer support. In fact, we have tested 100s of online casinos. These 5 have long been at the top of our list.

Is the Fibonacci Strategy Legal?

When it comes to playing Roulette strategies in a casino, as long as the casino deems that there is a fair risk of you losing, then the strategy is legal. Blackjack’s card counting was never illegal, but the casinos made it illegal because it worked so well. This has not happened in Roulette.

There is always a risk, although extremely slight, you could lose multiple spins in a row playing Roulette. Therefore, the casinos do not consider that any strategy in Roulette poses a risk.

If you play the Fibonacci Strategy online, live dealer casino or in a land-based casino, it is considered as fair game. There is no guarantee you will walk away with a win. However, if you sit down with a pen a paper to keep track, some casinos may not appreciate this.

Start by memorising the strategy. You can also use your mobile phone to keep track as this would just look like you are texting.

Of course, if you play online, this is the best place to practise the Fibonacci system. You can use a pen and paper, a notepad on your computer, or you can use your mobile. No one can see you, and at the same time you can memorise the strategy for those times you do decide to visit a land-based casino.

Our Final Verdict

Putting all the elements of this strategy together, you really cannot go wrong. It is not easy to memorise for many of us, but it is very effective. All you need to do to successfully implement the Fibonacci Strategy is to follow this guide closely by reading all the elements involved.

It really does not matter if you are a seasoned Roulette player or a beginner. Anyone with the right commitment can master this system.

Plus, there is plenty of proof that this system will help you become a winning Roulette player be it reducing the amount you could potentially lose on a downswing to helping you net more cash when you have an upswing.

Here is a quick summary of the main points:

  • Always use the same even odds outside bet
  • Set yourself a minimum bet that you can afford
  • Multiply your minimum bet by 50 or 55 to account for downswings
  • Take 3 steps back when you win
  • Add the previous 2 bet amounts together when you lose

Those are the main points in this strategy that you need to get to grips with. Once you are familiar and practising the strategy correctly, as you may have already seen, you can win more money with less wins versus losses. There is also very little chance of you losing your entire bank roll because this would mean losing several coups in a row, which is a very low risk in Roulette when betting on even odds outside bet.

Lastly, the best place to practice the Fibonacci methodology is to try it using a Welcome Bonus via an online casino. As you are playing online, you have a lot more flexibility when learning this system.

Good luck!

Other Roulette Systems:

Paroli Roulette System
Martingale System
Labouchère System
The D’Alembert System
The Fibonacci System
The Hollandish System