The Fibonacci Betting System Explained

The Fibonacci Betting System Explained

- October 25, 2016

Mathematics and numbers permeate every aspect of life. With math, we are able to accomplish many things, so it should not come as a surprise that math also has something to do with betting in casino games. In fact, mathematicians become excellent betting players even if they’ve had no prior experience. They simply use their superior math skills.

One of the most famous mathematicians in the world was named Leonardo Pisano Bigollo, more commonly referred to as Fibonacci. He was an Italian academic who brought the Hindu-Arabic number system to Europe. The famous Fibonacci sequence was something he found in early Indian math texts that he then developed and correlated to all known aspects of life.

It looks something like this: 1, 1, 2, 3, 5, 8, 13… and so on.

Interestingly, Fibonacci discovered the practical uses of this sequence when he figured out that rabbits breed in this manner. Nowadays, the Fibonacci sequence is used in all kinds of settings, including architecture, art, and of course, betting.

Even if betting largely involves chance, there are ways of increasing the one’s chances of winning through the knowledge of numbers. There is something to keep in mind, however, and that is that betting strategies are not 100% effective. They are not perfect. What they can do is help players generate more chances of winning. So it is still important to study the Fibonacci betting system and see how it can be used before you decide if it is something you want to utilize in the online casino arena.

The Sequence Explained

The Fibonacci sequence was developed approximately 900 years ago and is also known as the “natural progression”. In this sequence, the number that follows is equal to sum of the two numbers that precede it.

An example of this sequence would be:

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

This sequence can continue on and on. So when translated to betting, the idea is if you increase your bets continually, sooner or later there will come a time when your winnings will overcome your losses.

Positive and Negative Progression Strategies

The Fibonacci sequence can be used in two ways: the positive and the negative strategies. What do these mean? Simply put, if you are using a positive progression, you have to increase the amount of your bet every time you win. You also have to lower the amount whenever you lose.

Negative progression is basically the opposite of the positive progression. Whenever you win a bet, you decrease the next amount of your bet. When you lose, the amount of your next bet should increase. This means that you slowly increase your bets after each loss.

How It Works: One Step Forward, Two Steps Back

The Fibonacci system can be applied with bets that pay 1 – 1, and games that have a relative 50/50 chance of winning. The theory that works behind this sequence is that each lost bet will be recovered by betting the lost amount on the following wager. In other words, this system follows the idea that you can recoup your consecutive losses by moving up (or down) a specific sequence of numbers. This will be explained further below.

Here’s an example to show how the Fibonacci system works in a real setting. Let’s say that your single bet unit is equal to AU$10.

Using the sequence, the numbers should be 1, 1, 2, 3, 5, 8, 13, 21 and 34.

So, your bet amount sequence should follow as AU$10, AU$10, AU$20, AU$30, AU$50, AU$80, AU$130, AU$210 and AU$340.

If you want to use the negative progression, that means you should raise the stakes after you lose a bet and return to two steps back in the sequence if you win a bet. Here is an example sequence, beginning with the first AU$10.

SequenceLoss or WinNext Step (Negative Progression)
If you lose with your AU$10, then continue with the next AU$10 bet.
LossIf you lose with your AU$10, then you should proceed with an AU$20 bet.
LossIf you lose your AU$20 bet, you should proceed with your AU$30 bet.
WinIf you win your AU$30 bet, you should return two steps back for your next bet, which is AU$10.

If you want to use the positive progression, then you just have to reverse the principle. Here is an example sequence, again beginning with AU$10.

SequenceLoss or WinNext Step (Negative Progression)
WinIf you bet AU$10 and win, then you continue to the next AU$10.
WinIf you win at AU$10, then you proceed to AU$20.
WinIf you win at AU$20, your next bet should be AU$30.
WinIf you manage to win at AU$30, your next bet should be AU$50.
WinIf you win the AU$50 bet, you continue to AU$80.
LossIf you lose the AU$80 bet, then you should return two steps back for your next bet, which is AU$30.


This sequence is primarily effective in online dice games like Craps, casino card games like Blackjack, as well as in some roulette variations. It may not be immediately apparent, but the fact of the matter is, the Fibonacci system works. It will certainly work at some point in the betting sequence where you will gain back your losses, not unless you have lost your entire bankroll before getting the chance to redeem yourself. In order for this to happen, however, you have to have an exceptionally long losing streak.

The Fibonacci system is also relatively easy to memorize and use. In other words, you don’t have to be a professional mathematician to use it properly. What you simply need to do is subtract and add numbers.

To help illustrate further, let’s say that you are going to wager using the negative progression Fibonacci system at 3.50 odds for every round. You lose the first four rounds, but win the fifth. Even though you lost money betting on the first four rounds, your gains on the fifth bet offset your losses. Take a look at this table:

RoundSequence (Negative Progression)Total BetsWin AmountTotal Profit
-120 + 175 = AU$55

As you move forward through the rounds, you continue to bet a higher amount after every loss. By the end of round 5, you bet a total of AU$120 but you won AU$175. You have therefore earned AU$55 for playing a total of five rounds. If you want to continue with this sequence, you simply have to move back two steps and bet AU$20 on your sixth round.


As mentioned above, the effectiveness of the Fibonacci sequence depends on how long your losing streak is. If you have a limited budget and you lose too many times in a row, then you won’t be able to offset your losses. Ideally, to maximize the benefits of the Fibonacci system, you have to have a high deposit maximum. If you have a large bankroll, you can continue to increase the amount of your bets using the sequence accordingly.

Modifying the System

Modifying the Fibonacci system is a smart idea if you are working with a limited budget. You can adjust how many steps to take back in the sequence when you win (in a negative progression) or lose (in a positive progression). Depending on how much money you have left, you may opt to go a few points back only. If you are not sure how to modify the Fibonacci system to your advantage, then a great way to do start is to practice using free online casinos before betting with real cash.

The Best Bets for the Fibonacci System

1) Blackjack

Using the Fibonacci system when playing Blackjack online is easy to follow and sound. What makes the sequence very effective when playing twenty-one is that players usually tend to double their bets after they win a round. What the Fibonacci system requires is the opposite. This results in a much better chance of winning.

The Fibonacci system pays out well in Blackjack after long winning streaks. When used correctly, this strategy will help players generate good profits in the long-term. Plus, using the sequence doesn’t mean you have to risk such high stakes.

2) Baccarat

Even though the odds of winning or losing Baccarat is constant, a proper betting strategy will help you from panicking or making rush decisions. With the use of the Fibonacci system, you will be able to gain more control over your funds in the entire course of the game. This will ultimately help you succeed at Baccarat.

The Fibonacci system is the best choice for many Baccarat fans because it helps players keep track of all the money that has been wagered. This is especially helpful because Baccarat is a fast-paced online casino game.

3) Craps

Using negative progression strategies is helpful for those players who love dice games like Craps. Even if you don’t win big right away, using the Fibonacci system will help lower the house edge significantly. Using negative progression will increase your chances of gaining considerable profit when you play Craps.

Brodey Sheppard

Brodey Sheppard

Brodey Sheppard’s interest in keeping up with the ‘bleeding edge’ of technology has kept him working in the digital marketing industry for over six years. Aside from searching for opportunities to increase his online marketing knowledge, Sam also scours the Internet for useful bonuses and coupon codes that he can use to fuel his love for photography. During his free time, he watches professional photo retouching tutorials in between streaming his favourite TV shows. Fun fact: Sam has never met a cupcake he didn't like.