The Fibonacci Strategy Applied to Roulette

Fibonacci Roulette System

/ 10 min

The Fibonacci strategy is one of the safest for roulette. Learn to use the Fibonacci strategy roulette progression and its reverse version from a true expert!

The Fibonacci Sequence and the Fibonacci Roulette Strategy

The Fibonacci Sequence and the Fibonacci Roulette Strategy

The sequence is a series of numbers representing your stake for roulette bets.

The strategy is based on a negative progression, so you must up the wager when you lose.

Important

Technically, the sequence could start with a zero, but most examples show Fibonacci as follows:

1-1-2-3-5-8-13-21, and so on.

The Fibonacci roulette strategy is used on even-money bets, meaning UK players should use the strategy when betting on high/low, or even/odd. It’s also used as a roulette red or black strategy.

How to calculate the Fibonacci sequence

How to Calculate the Fibonacci Sequence

The system’s progression rule is that any next number is the sum of the previous two numbers.

Accordingly, for each lost bet, you add up the previous numbers and thus obtain your next stake.

When you win, you return two positions back in the sequence.

Did you know that…

The progression is a pattern occurring naturally at many levels?

You might have heard about the golden ratio.

You can find it in the number of plants’ flower petals and seed heads, inside fruits, vegetables and sea shells, as well as in hurricanes and galaxies.

The Fibonacci system

The Fibonacci System

When applied as a staking system, Fibonacci requires a great deal of discipline.

You must start with a clearly defined betting unit. Throughout our guides for UK players, we keep telling you to set a gambling budget and stick to it.

For this system to work, you must take these words seriously.

Suppose you’ve just registered your account at a top online casino UK. After you complete registration, you’ll likely make a deposit and start playing.

Many UK players skip this part, but hear us out!

Divide your bankroll by game type. Say you’re mainly a roulette player, but you also like to indulge in slots every once in a while.

Set apart 30% of your funds for slots and 70% for roulette.

For Fibonacci to work, you must start with the lowest betting unit available.

The remaining funds should be further divided by 100 so you obtain your initial stake unit.

Remember the progression: 1-1-2-3-5-8-13-21…

  1. The two 1-1 at the beginning of the sequence represent your betting unit.
  2. If you follow our tips, that unit should not exceed 1/100 of your bankroll.
  3. Depending on you winning or losing, you will have to move back and forth.
  4. So, at some point, you may have to bet 21 units.
  5. Make sure betting 21 units won’t carve out too much of your bankroll!

If your first wager is a win, remember you must restart the progression. You only add up numbers in case of a loss.

Other roulette negative progressions

We provide in-depth guides on all the other negative roulette progressions:

There are two scenarios where UK players can score a profit

If the first wager is a win, you get a 1 unit profit. However, you then need to resume the sequence from square one.

If the first bet is a loss, you continue betting until you get a win. Once a bet hits home, you adjust your stake size according to the second-previous number in the string.

The further you go down the series, losses will get bigger, so exercise caution!

This pattern continues until you return to the first number and bet amount.

The Fibonacci Roulette Strategy in Action

This strategy is arguably safer than the other negative progressions available.

Instead of doubling your bet as with Martingale, you add up your last two wagers.

The aim is to gradually return to your initial stake and prevent major losses when playing in Roulette casinos.

Fibonacci system example 1: even wins and losses

Rounds Bet value Starting bankroll: £100
Win £1 £101
Win £1 £102
Loss £1 £101
Win £2 £103
Loss £1 £102
Win £3 £105
Loss £2 £103
Loss £5 £108
Final result £8 Profit End bankroll: £108

The Fibonacci roulette strategy odds

The Fibonacci Roulette Strategy Odds

The only type of bet that we are using for the system in roulette is the even-money bet, with odds close to 50-50%.

Placing wagers on red/black, even/odd, or high/low has real odds of 48.65% in European roulette and 47.37% in American Roulette.

Both types of roulette bets payout at 1:1.

You can check out the other differences and similarities between the two in our expert’s comparison of European roulette vs American.

Be aware

Suppose you play live roulette with a bonus. Be aware that applying roulette strategies with bonus funds might be restricted.

Either the online casino will forbid the use of strategies or limit the bonus bet amount as far as even-money bets are concerned.

Fibonacci strategy example 2: losing streak

Rounds Bet value Starting bankroll: £100
Win £1 £101
Loss £1 £100
Loss £2 £98
Loss £3 £95
Win £5 £100
Win £2 £102
Loss £1 £101
Loss £3 £97
Final result £3 Lost End bankroll: £97

Losing Streak With the Fibonacci Betting System

A losing streak can be easier to take with this system.

Remember the strategy works primarily as a way to avoid major losses.

During 8 rounds of play according to the sequence, 5 were lost bets. In the end, despite the majority of bets losing, the overall bankroll change was not that significant.

Practically, instead of losing 5 units for 5 lost bets, Fibonacci helped reduce those losses to 3 units.

Fibonacci Strategy Example 3: Winning Streak

Rounds Bet value Starting bankroll: £100
Loss £1 £99
Win £1 £100
Win £1 £101
Win £1 £102
Win £1 £103
Win £1 £104
Loss £2 £102
Win £1 £103
Final result £3 Profit End bankroll: £103

Winning Streak With the Fibonacci Strategy in Roulette

As per the results in the table, you won’t make significant profits when 6 out of 8 betting rounds return positive results.

The rule states that, in case you start with a winning streak, every next bet will be at the minimum stake. Therefore, your profit will only increase slowly.

The strategy’s main use is safeguarding your gambling funds!

Fibonacci Strategy Roulette Results in the Long Run

Fibonacci Strategy Roulette Results in the Long Run

The examples prove the main usage of this strategy is to mitigate the roulette house edge.

While you may get some profit if you follow the staking plan by the book, you shouldn’t raise your expectations too high.

Because of the extra green zero, the even-money bet on roulette doesn’t offer real 50-50 odds.

However, it remains the best bet in roulette in terms of odds.

Even if you cannot bypass the house edge completely, using the sequence can help you diminish losses. At the same time, though, you also diminish your potential returns.

Expected value

Calculating the expected value can give you a rough estimate of how much you can potentially win or lose during your roulette session.

We only use even-money bets with this roulette strategy, so we’re already at a disadvantage.

Given the house edge, over an extended series of bets, we’re bound to lose 2.7% of the time at European Roulette and 5.3% at American Roulette.

That means the expected value would be negative for a long enough series of bets.

The alternative reverse Fibonacci system

The Alternative Reverse Fibonacci system

There is an alternative for UK players who want faster returns: the reverse Fibonacci strategy.

It literally involves taking the steps in reverse, so now we’re talking about a positive progression.

Reverse sequence rules

  • You move one step forward with your stake after each win, instead of upping your wager when you lose
  • In case of a loss, you decrease your bet and take two steps backwards

However, be advised this is a lot riskier than the original.

Reverse Fibonacci betting system results

The reverse version can yield positive results but only if you get your even-money bets right consistently.

It can also drain a significant amount of your bankroll if, after a positive series, you encounter a loss.

Tips

Combine the two versions during roulette gameplay for the best results.

Fibonacci Roulette Results Compared to Other Systems

Let’s see how the various roulette strategies compare when used in the long run.

Alternatives to the Fibonacci system

Strategies Betting algorithm
The Martingale This strategy doubles the bet every time you lose. When a win occurs, the next bet will be the amount you started with.
The Reverse Martingale (Paroli) You double the next wager every time you win, and you return to your initial bet every time you lose.
The Grand Martingale You start with a base wager. If you win, you double the stake and add a single unit. If the next one is a loss, double the stake again and add a unit to it.
Labouchere

First, decide the amount you want to win and create a sequence of smaller numbers that add up to that.

Add the rightmost and leftmost numbers to obtain your first bet.
If you win, remove the numbers from the string. Repeat the process for each win.

If you lose, you add the wagered amount to the right side of your series.

D’Alembert

Here you won’t double the wager every time you lose, but simply add 1 unit.

So if you wager £5 and lose, the next bet will be £6. When you win, you decrease the bet by 1.

The Fibonacci system vs other systems: a visualization

The Fibonacci System vs Other Systems A Visualization

Tips for Using the Fibonacci Strategy

  • Be aware the system won’t improve the default roulette odds
  • Start with the minimum bet available
  • Play at European roulette casinos for the best odds
  • Check the site’s Terms and Conditions if you’re playing with a bonus
  • Even if you’re playing a negative progression, don’t go overboard and know your limits
  • Play at a table with high betting limits or start really low
  • Avoid roulettes with more than 1 zeros, such as American Roulette
  • UK players shouldn’t bet for more than 10 rounds using the system or your bets may become too risky

F.A.Q

What is the Fibonacci system?

The system represents a sequence of numbers. Every next number is determined by the sum of the previous two numbers. You can apply it in roulette for safer outcomes.

What are Fibonacci sequences?

The series almost always starts with 1 and continues with 1-2-3-5-8-13-21-34-55, and so on.

What makes the Fibonacci string so special?

It is unique because it gives UK players a chance to keep their bankroll largely intact after a few losses. It's also a naturally occurring phenomenon.

Can a Fibonacci roulette strategy work long term?

Roulette is a game of luck, so using this system or any other strategy will always carry some risk. In the long term, any strategy is bound to fail because of the house edge.

How good is Fibonacci betting in roulette?

You may gain minimum profits for a winning streak, which UK players may consider a downside. However, you will mitigate losses and that’s the main benefit of this strategy.

How to use Fibonacci in roulette?

You place one bet in the beginning, for example, £1. The following bet will also be £1. However, if you lose, the next bet will be £2. If you win, you must move back two numbers in the sequence at any point.
Francisc Csiki
Author Francisc Csiki Author & Editor at CasinoAlpha
Adina Minculescu
Author Adina Minculescu Senior Author & Editor at CasinoAlpha

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