Fibonnaci Roulette System – The Complete Guide

fibonnaci

Based on the golden ratio, the Fibonnaci strategy might just be the roulette system that you’re looking for if you have a strong faith in nature. As you may already know, the golden ratio appears everywhere in our world. It’s said to be a fundamental characteristic of the universe. It appears in flower pedals, hurricanes, galaxies, our face and even in our DNA molecules.

The golden ratio, which is a number of 1.618, is also known as the Fibonnaci sequence and it is this sequence that the Fibonnaci strategy in roulette is all about. The strategy is a negative progression system that in theory works flawlessly to guarantee you a long term profit. Only about a third of all of your game rounds must win to make a profit, which is way below the average win ratio.

So how could you ever lose using Fibonnaci? Keep reading and we’ll tell you all about it, along with how the strategy works.

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Preparations for using Fibonnaci

Executing Fibonnaci is easy, but before telling you how it’s done, here are a couple of points that are good to be aware of; advices and requirements.

  • Type down the sequence you are going to use
    With the Fibonnaci strategy you have to follow a fixed sequence of numbers that you move left and right on. This is impossible to keep track off in your head. Therefore you need to know that this sequence has to be written down before you start a roulette session. This will soon make more sense to you as we tell you about the actual sequence.
  • Understand what a unit is
    The numbers in the Fibonnaci sequence represent units. A unit is simply the stake that you choose to start betting with. For instance, if an initial bet of £5 makes the most sense to your bankroll then a single unit is equal to £5. Thus two units would be £10 and three units £15.
  • Always place a single bet on red, black, high, low, even or odd
    This is a requirement for the Fibonnaci strategy to work. You have to bet on an alternative that pays double the stake when you win.
  • The bigger the bankroll the better
    If you want your roulette sessions to end in a profit this is more likely to happen the bigger the bankroll you have in relation to your starting stake. The Fibonnaci strategy is, in other words, fragile to small bankrolls. A great bankroll is 1,000 times your stake even if you can do with a smaller one.
  • Prepare for the worst case scenario
    When things go south – which they will at some point – it doesn’t matter how big of a bankroll you have. You will lose it all. This is important to be aware about. You’re likely to win with the strategy, but you should also expect to lose big when you do lose. Don’t play for more than you can afford.

How to execute Fibonnaci

The Fibonnaci strategy relies on the Fibonnaci sequence that looks like the following:

1 – 1 – 2 – 3 – 5 – 8 – 13 – 21 – 34 – 55 – 89 – 144 – 233 – 377 – 610 – 987 – 1597 – 2584

It’s a never ending sequence so it doesn’t stop at 2584 – we just chose to cut it off here. The way that the sequence works is that every new number that is added to it is the sum of the previous two. For instance, 21 was achieved by adding 8 and 13 together and if we were to add an additional number to the sequence it would be 1597 + 2584, which is 4181.

If you’re curious to where 1.618 comes into the equation – which is the golden ratio – you get this number whenever you divide a number on the sequence with the one that came before. For instance, 987 divided by 610 is 1.618. It doesn’t work 100% accurately in the beginning, but you have to move up a few steps on the sequence. Then the number (1.618) will repeat itself no matter where the division is done.

The basics of the strategy are very simple. You start at the beginning of the sequence by betting one unit on an alternative that pays 1:1. If you win or lose you move along the sequence the following ways:

Winning game round: Move two steps to the left on the sequence (or stop at the beginning of it)

Losing game round: Move one step to the right on the sequence

In other words, the stakes will increase whenever you lose and decrease whenever you win.

As every number on the sequence represents a unit, you have to multiply the sequence with the stake that you’re using to get the right number to bet. Here’s an example of how the sequence would look like when using a stake of £1 – £9:

Stake
Sequence
£1
1
1
2
3
5
8
13
21
34
55
89
144
£2
2
2
4
6
10
16
26
42
68
110
178
288
£3
3
3
6
9
15
24
39
63
102
165
267
432
£4
4
4
8
12
20
32
52
84
136
220
356
576
£5
5
5
10
15
25
40
65
105
170
275
445
720
£6
6
6
12
18
30
48
78
126
204
330
543
864
£7
7
7
4
21
35
56
91
147
238
385
623
1008
£8
8
8
16
24
40
64
104
168
272
440
712
1152
£9
9
9
18
26
45
72
117
189
306
495
801
1296

The goal of the strategy is to get to the beginning of the sequence. Whenever you do and manage to score a win you will make a profit of one unit.

To understand the Fibonnaci system better, let us showcase it with an example of 20 game rounds. To keep things simple, we use a stake of £1. 

Betting on red with an initial stake of £1
Round
Stake
Red
Black
Result
Action
Net result
1
£1
 
X
Loss
Move one step to the right
- £1
2
£1
 
X
Loss
Move one step to the right
- £2
3
£2
 
X
Loss
Move one step to the right
- £4
4
£3
 
X
Loss
Move one step to the right
- £7
5
£5
 
X
Loss
Move one step to the right
- £12
6
£8
X
 
Win
Move two steps to the left
- £4
7
£3
 
X
Loss
Move one step to the right
- £7
8
£5
 
X
Loss
Move one step to the right
- £12
9
£8
 
X
Loss
Move one step to the right
- £20
10
£13
 
X
Loss
Move one step to the right
- £33
11
£21
X
 
Win
Move two steps to the left
- £12
12
£8
 
X
Loss
Move one step to the right
- £20
13
£13
 
X
Loss
Move one step to the right
- £33
14
£21
 
X
Loss
Move one step to the right
- £54
15
£34
 
X
Loss
Move one step to the right
- £88
16
£55
X
 
Win
Move two steps to the left
- £33
17
£21
 
X
Loss
Move one step to the right
- £54
18
£34
X
 
Win
Move two steps to the left
- £20
19
£13
X
 
Win
Move two steps to the left
- £7
20
£5
X
 
Win
Move two steps to the left
- £2
The sequence as reference: 1 – 1 – 2 – 3 – 5 – 8 – 13 – 21 – 34 – 55 – 89 – 144 – 233 – 377 – 610

As you can see, we chose to create an example where we never actually reach a net profit. What’s interesting to note here though is that we’re having a tremendous amount of bad luck with only 6 out of 20 game rounds ending up winning – and yet we’re only two units behind. One more win and we would be at the beginning of the sequence (break-even) and with another win after that we would be dancing in profit land.

This is the raw strength of the strategy. You only have to win 33% of the game rounds + 1 to reach a net profit. The math is simple – a winning bet will always cover two previous losses as whenever we lose, we bet what we just lost + what we lost the round before that.

Unlike a ton of other roulette strategies such as Oscar’s Grind, Reverse Hollandish and Paroli, it doesn’t matter if the wins and losses happen in a row or not. They sort of did in our example, but this is not a necessity for the strategy to work. They can appear in any pattern.

Now before jumping to the roulette tables believing that Fibonnaci is the answer that everyone has been looking for to beat the casinos, let’s have a look at the strategy’s weakness. Yes, it has a weakness.

The weakness of Fibonnaci

 It may difficult to understand how Fibonnaci is not a bulletproof strategy that is guaranteed to earn you a profit in the long run. All it takes is for 33% + 1 game round to win and on average a 1:1 bet on a European roulette table has a 48.65% win chance. That’s a huge marginal.

Well, the fact of the matter is that in theory you would actually be unable to lose with the strategy. It does, however, suffer from the same flaw as Martingale and many other roulette systems. In the short run long streaks of losses are inevitable to happen and when they do the stakes just get higher and higher. Take a look at how the sequence develops when our win ratio is below 33%:

£1 – £1 – £2 – £3 – £5 – £8 – £13 – £21 – £34 – £55 – £89 – £144 – £233 – £377 – £610 – £987 – £1,597 – £2,584 – £4,181 – £6,765 – £10,496 – £17,711 – £28,207 £45,918, £74,125 – £120,043

We can certainly handle a bit of progression, but when losses stack up too much it gets sweaty and eventually it gets brutal. It doesn’t matter how big of a bankroll you have. Even if you could handle a £100k bet the casino wouldn’t allow you to make it as they have limits on their tables. This is where the strategy fails. If you can’t continue to increase your stake to bet, you can’t win back your losses.

In the long run your win to lose ratio will always be 48.65%, which is way above the required 33%. However, that doesn’t matter as in the short run the game doesn’t care about long term probabilities. If lady luck decides to screw you over with too many losses within a certain period, your entire bankroll will disappear and you can’t do anything about it.

It’s not likely though that you will end up in a scenario where your roulette session has a lower win ratio than 33%. That’s why the vast majority of your sessions will actually end in a profit. These profits are not enough though to make up for the times that things go south and lady luck screws you over. In the end your expected long term return will always be what the game is programmed to have and in European roulette this is 97.3% – £97.3 won for every £100 staked.

Pros and cons of Fibonnaci

Pros
Cons
+ Quite an interesting strategy to use
- Stakes increase exponentially
+ Net profits can be very easily achieved
- The risk is high compared to rewards
+ In theory the strategy is bulletproof
- Works best with a big bankroll
 
- Profits are small

The big highlight of the Fibonnaci strategy is unquestionably the way that it allows you to end most of your roulette sessions in a profit. You only have to win a third of your bets + an additional one and this is very likely to happen – especially if you have a big bankroll that can handle a bad streak of losses.

On the contrary, one of the weaknesses of the strategy is that you only profit one unit at a time. You will often find yourself chasing losses trying to get to the beginning of the sequence. Therefore you won’t encounter any sudden bankroll boosts such as you could with the Paroli system.

Fibonnaci is also risky. Not in the sense that you’re likely to lose, but in the sense that when you do lose it is your entire bankroll that is lost. You do, of course, always have the choice of stopping before this happens, but then the point of the strategy is kind of lost as you can’t win back your losses.

On a positive note, it’s quite an interesting strategy. Not nearly as complex or flexible as Tier et Tout, but it certainly has its charm. Much of it being the fact that it’s based on the golden ratio that we find everywhere in our lives.

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