Fibonacci System – What is the Fibonacci Betting System?

The Fibonacci system, first described by the Italian mathematician Leonardo Fibonacci in the 13th century, is a fascinating mathematical pattern found in nature, architecture, art, science, and the very fabric of our universe.

It can also be applied as a betting strategy for sports and casino games that regularly results in a session win. Read on to learn exactly how to apply the Fibonacci sequence in gambling, what games and bet types it can be used for, and how to use it most effectively.

What is the Fibonacci System?

The Fibonacci system involves a sequence of numbers that is applied to your gambling activity. The progressive projection strategy can be used in various games, including blackjack and roulette. It also works in sports betting.

You add your previous two stakes together to calculate your next bet. In the event that your bet is unsuccessful, another number is added to the sequence. However, if the bet wins, two numbers are taken away.

The Fibonacci strategy is best suited to even money markets, where your chances of success are around 50%. Examples include gambling on red or black on a roulette table or the banker’s or player’s hand in baccarat.

As a result, you are unlikely to go on extended losing streaks when using the Fibonacci system. However, meeting the maximum bet limit is unlikely because of how the strategy works. The theory of the system is that you will make enough from winning bets to cover your losses and make a profit.

How Does the Fibonacci Sequence Work?

FIBONACCI BETTING SYSTEM-2-2

The Fibonacci system works by adding the previous two numbers together to determine the next number. However, it is not quite as simple as just adding up two consecutive Fibonacci numbers to determine a stake.

As you win or lose, the sequence moves in a see-saw manner, with numbers (betting units) being added if your bet loses and moving back two spaces in the sequence if your bet wins.

Fibonacci Numbers

In the Fibonacci sequence, the first two numbers are 1 and 1. Every subsequent number in the sequence after that is the sum of the previous two numbers, so the numbers look like this: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, and so on.

The Golden Ratio

The Golden ratio, also known as the divine proportion or the Golden Proportion, is a mathematical concept that appears in the Fibonacci sequence and is the ratio between two consecutive numbers in the sequence.

As the numbers in the Fibonacci sequence grow larger, if you divide each number by the previous number in the sequence, the sum will always be roughly 1.618, also known as Phi.

This ratio can be found in architecture, the most famous example being the Great Pyramids, and throughout nature, the human body, clouds, leaves, and even the structure of the universe.

Examples of a Fibonacci System

Here’s an example of what a session using the Fibonacci system may look like in a session. In this example, we are starting the sequence on the second 1 of the Fibonacci sequence, if you start on the first one in the sequence, then about half the time, the session will end in a push rather than profit.

Bet No. Stale ($) Result Running Total
1 5 loss -5
2 10 loss -15
3 15 loss -30
4 25 loss -55
5 40 win -15
6 15 loss -30
7 25 win -5
8 10 loss -15
9 15 loss -30
10 25 win -5
11 10 loss -15
12 15 win 0
13 5 win +5
14 5 loss 0
15 10 win +10
Using the Fibonacci System for Roulette

Using the Fibonacci System for Roulette

With three even money (1:1) bets available, online roulette is one of the most popular casino games for a Fibonacci betting system. These three Fibonacci roulette bet options are:

  • High/low – Bet on high (19-36) or low (1-18) numbers.
  • Odd/even – Wager on odd or even numbers.
  • Red/black – Bet on red or black pockets.

If you win, you must erase two numbers from the sequence. If you hit a loser, you add one number (the two combined previous digits) to the end of the sequence.

It is also worth bearing in mind that the effectiveness of the Fibonacci sequence in roulette is somewhat dependent on the game you play, as roulette variants differ in the house advantage (edge) and odds of winning.

Ideally, you really want to be playing French or European Roulette versions, if possible, which carry a house edge of 1.35% and 2.7%, respectively. American roulette, with its double zero wheels, has an edge of 5.26%, which is a marked swing in the house’s favor. With this in mind, make sure you’re playing at the best roulette table for your bankroll.

Double Columns and Dozens Strategy

Double Columns and Dozens Strategy

Although the Fibonacci betting sequence is best suited for close to even-money bets, in roulette, there is a strategy that can be implemented where you deploy the Fibonacci sequence on both the columns and dozens of bet options at the same time.

These bets have a 2:1 payout but also odds of winning 32.43%, much lower than you would usually want to use the Fibonacci sequence with. However, by playing both at the same time, you have a 54.05% chance of winning at least one of the bets and a 10.81% chance of winning both.

It’s a riskier strategy than betting on the near-even money bets as if you were to go on a losing streak of missing both bets your bankroll can quickly get depleted.

However, with risk comes reward, and winning session returns can be much larger than playing the traditional near-even money bets. Below is an example of how it may play out.

Bet # Dozen Bet ($) Dozen Result Column Bet ($) Column Result Total Stake ($) Payout ($) Running Total ($)
1 5 Loss 5 Loss 10 0 -10
2 10 Loss 10 Win 20 20 -10
3 5 Loss 15 Loss 20 0 -30
4 10 Win 25 Loss 35 30 -35
5 5 Win 40 Win 45 90 10
6 5 Loss 10 Loss 15 0 -5
7 10 Loss 15 Win 25 30 0
8 5 Loss 5 Loss 10 0 -10
9 10 Loss 10 Loss 20 0 -30
10 15 Win 15 Win 30 60 0
11 5 Win 5 Loss 10 10 0
12 5 Win 10 Win 15 30 15
13 5 Loss 5 Loss 10 0 5
14 10 Win 10 Loss 20 20 5
15 5 Win 15 Win 20 60 45
Fibonacci Betting Strategy at a Blackjack Table

Fibonacci Betting Strategy at a Blackjack Table

The binary nature of blackjack makes it an ideal game to adopt the Fibonacci sequence. However, there are certain elements in blackjack, such as doubling down and splitting, which increase the original stake and complicate matters to a degree.

There are two ways to overcome this. The first is by ignoring the option to take either of these options. The problem with this is that you can decrease the house edge in blackjack by using the basic blackjack strategy chart.

This dictates that there are some scenarios that you should double or split, and if you don’t, you are actively lowering your chances of being profitable. The other way to be able to use the Fibonacci sequence and stick to basic blackjack strategy is by doubling your stake after a loss or starting the sequence over after hitting a winning hand. Here’s an example:

  • You bet 3 units (0, 1, 1, 2) to start the hand.
  • You double down (6 units on the table).
  • Your hand loses.
  • The next bet will be 12 units.
  • If you win this wager, you’ll start the Fibonacci blackjack sequence over (0, 1).
Fibonacci Betting with Other Casino Games

Fibonacci Betting with Other Casino Games

Several other casino games can have the Finobacci system applied to them because they have at least one even-money bet. Here are just a few:

  • Baccarat – Banker and player bets offer even-money payouts in online baccarat. Banker wagers have a 1.06% house edge, while the player side bet carries a 1.24% house advantage.
  • Craps – Even money lines in casino craps include pass line, don’t pass line, come, and don’t come. The lowest house edge wagers are the don’t pass line and don’t come, both of which have house edges of 1.36%.
  • Pai Gow Poker – Winning hands pay 0.95:1, which is just shy of even money but close enough for the Fibonacci system to work successfully. The probabilities in Pai Gow poker indicate that you should win around half of your hands, ignoring pushes.
  • Video PokerVideo poker games like Jacks or Better see you win over 45% of the hands, using optimal strategy, which means video poker is another casino game that is good for a Fibonacci strategy. However, most video poker machines allow you to bet in five increments, known as coins, so either 1,2,3,4,5. In this case, the Fibonacci system can’t be employed properly as you’ll hit the max limit rather quickly.

Fibonacci System Pros and Cons

As with any system, Fibonacci betting is not perfect. It has its benefits but also some drawbacks and is not suited for every type of bettor and every bankroll. Here are some of the positives and negatives of using the Fibonacci sequence in gambling to help you decide whether the system is for you or not.

Pros:

  • Helps to reduce impulsive betting
  • Decreases the chance of losing big
  • Works on multiple types of casino or sports games
  • Increases the excitement of gambling versus flat betting
  • Lower risk of hitting the maximum table limit than Martingale

Cons:

  • Relatively complicated system compared to Martingale or D’Alembert.
  • Doesn’t ultimately overcome the house edge.
Nikita Jones
Casino & Betting Editor
Expert Insight
Labouchere or Paroli betting systems have a clear set end game, but the Fibonacci system doesn’t have a set goal or exit strategy. Because of this, it’s essential to set stop-loss and win targets. A good stop-loss strategy is walking away if you lose between 6-10 steps in the sequence as this gives you enough chance to break a losing streak but will also minimize losses if lady luck is not with you.

The Fibonacci System and Sports Betting

While it does not appear to be the best form of gambling suited to the system, the Fibonacci strategy can be implemented in sports betting. Again, even money markets are the most suitable. Look out for odds of around -100 or -110 when making selections.

In sports such as NFL, NBA, and NHL, winning just $110 from a $100 stake is a common occurrence. This is especially true in the case of handicap bets, where -110 is a regular price. With online sportsbooks having a 10% house edge from losing -110 wagers, you will take the house edge to just 5% if you win 50% of your bets.

Expert Tips for Using the Fibonacci System

You can use the following tips to maximize your Fibonacci betting experience and, hopefully, win more in the process.

  • Seek the Lowest House Edges – The most important factor of all. The closer your bets are to even money, the better your chances of making your Finobacci betting system successful. Roulette is a perfect example because French (1.35%) and European roulette (2.70%) are better than the American game (5.26%).
  • Play Low Stakes – One limitation of Fibonacci is that a long losing streak could see you hit the table maximum bet line. If you get to this point, only luck will see you recoup all your losses. Try and budget for a losing streak of at least 10 wagers.
  • Be Realistic – Like any gambling or betting system, Fibonacci isn’t bombproof. If you keep hitting losing hands, then you will hit the table limit or even lose your bankroll. Know the risks involved before you hit the casino.
  • Get Online Casino Bonuses – Using online casino bonuses that can be used on table games like blackjack and roulette is a great way to pad out your Fibonacci betting system bankroll.
  • Know When to Take Profits – Walking away when you are in front is the best way to prevent things from taking a turn for the worse. Fibonacci betting works the vast majority of the time but there are no guarantees so the safest way to ensure winnings are yours is to walk away when in front.

Alternatives to the Fibonacci Betting System

The Fibonacci is a hugely popular betting system but it’s by no means the only one available. Below, we look at some Fibonacci strategy alternatives that will appeal to anyone looking to build up a portfolio of gambling strategies.

Negative Progressive Systems (Increased Bets to Recoup Losses)

Progressive betting systems fall into two main categories: negative and positive. In negative systems, you increase your bet size after a loss and either decrease or reset your bet size after a win. The Fibonacci betting sequence is a negative progressive system, and here are some others.

D’Alembert System

The D’Alembert system is one of the simplest betting systems out there. You simply increase bet stakes by 1 unit after losing and decreasing wager stakes by 1 unit after winning. So, if your unit stake is $20 and your bet loses, your next wager will be $40.

Labouchere System

The Labouchere system requires you to set a profit target (for example, 20 units). You then map out a sequence of betting units that add up to that amount (eg, 3-2-5-3-2-1-4-1 = 20). To determine your next wager size, simply add the first and last numbers (in this example, 3+1).

If your bet wins, you cross off the numbers to narrow the sequence (2-5-3-2-1-4) and add up your next wager (2+4 = 6). After a loss, you add the losing bet to the end of the sequence (3-2-5-3-2-1-4-1-4). The goal is to cross everything off and reach your profit goal.

Martingale System

The Martingale system is more simple in that it only requires you to double your bet after any loss. Once you hit a winner, you revert to betting 1 unit. This is a system that requires a big bankroll if you are going to withstand a lengthy losing run.

Positive Progression Systems (Increased Wagers to Capitalize on Hot Streaks)

A positive progression system is the exact opposite of a negative system, in which you increase your bet size after a win and reset or decrease your bet after a loss. These systems are meant to capitalize on winning streaks. Here are some of the most popular positive, progressive systems.

  • 1-3-2-6 System – As the name implies, the aim is to win four consecutive bets of 1 unit, 3 units, 2 units, and 6 units. If you back a winner, you move up the ladder, but if you back a loser, you return to a 1-unit stake. If you complete the sequence, you then return to 1 unit.
  • Oscar’s Grind – This progressive system requires you to increase bets by 1 unit after each win. Bet a loser, and your next stake will be the same. The sequence ends when you have 1 unit of profit, at which point you start over or walk away!
  • Paroli System – Maximize profits by increasing your wager by 1 unit following each win. Once you hit three successive winning bets, you return to 1 unit. Bet a loser, and you also return to a single-unit stake.

Conclusion

Using the Fibonacci rule in betting can help you manage your bankroll effectively and cut out impulsive betting. It’s a fairly straightforward system, and while it requires some mathematical  skills it’s fairly simple, you can always use the Fibonacci betting calculator to automate the sums if you’d prefer.

As far as betting systems go, it’s one of the less risky options, and it can ensure that you make a steady profit. However, it’s not without its downfalls. Most of the time, you can be sure of making a small profit, but if you lose in a session, it can be a heavy loss.

Ultimately, it’s not a system that will suit everyone and the best way to know if it’s right for you is to try it out and see whether it’s a good fit for your habits and preferences.

FAQ

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The ReadWrite Editorial policy involves closely monitoring the gambling and blockchain industries for major developments, new product and brand launches, game releases and other newsworthy events. Editors assign relevant stories to in-house staff writers with expertise in each particular topic area. Before publication, articles go through a rigorous round of editing for accuracy, clarity, and to ensure adherence to ReadWrite's style guidelines.

Lewis Humphries
Sports Betting Expert

Lewis is a seasoned sports writer and betting expert at ReadWrite. He has been written about sports, remote betting and sportsbooks for more than 10 years, with his work featuring in publications such as The Boot Room, Yahoo Sports and 90min. He writes most extensively about soccer, basketball, American football and boxing, but retains an interest in a huge range of sports.

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