The Ultimate Guide to Casinos


The Fibonacci Betting System

Numbers and math are prevalent in most aspects of life. Without math, we would not be able to build infrastructures, use money or possibly even function as humans. One place where math and numbers shows it face more on a regular occurrence is in casino games. Many mathematicians who know nothing about gambling can quickly become experts by using their superior math skills.  This scenario was made famous by the MIT Blackjack team who were taught how to Blackjack and had the ability to accurately count cards in their head without flaw.

One of the more famous mathematicians of the world was a man named Leonardo Pisano Bigollo. He is also more commonly referred to as, Leonardo of Pisa or, Fibonacci. He was an Italian born mathematician who is known for bringing the Hindu-Arabic number system to Europe.

You’re probably asking yourself what this has to do with gambling. Well, if it were not for Fibonacci, we would not have the Fibonacci betting system. Although this sequence can be found in early Indian math texts, it was Fibonacci who modernized it and found the correlation of it with all aspects of life.

The system is based on a sequence of numbers where each new number equals the total of the previous two. It looks something like: 1,1,2,3,5,8,13,21 and so on. This sequence had its first uses when Fibonacci discovered that rabbits breed in this manner. It’s now commonly used in binary settings, art, architecture and of course, gambling.

This system is most used in games such as Blackjack, Craps and Roulette. It can be applied and it works best with bets that pay even money. This is a bet that pays 1-1 and has a relative 50/50 chance of winning.

To apply this system to gambling, you would the sequence of numbers to dictate your betting units. A unit is an amount that you wager each hand. If you’re normal bet is $5 this would be 1 unit. Five units would be $25 based on this example.

The theory behind this betting system is that each lost bet will be recouped by betting this lost amount on the next wager. Its idea is to cover consecutive losses by moving up or down the sequence of numbers.

How it works

Let’s use an example to show exactly how this system works in a real time setting. We will assume that all units equal $5 and the bets being placed are on even money bet such as Red in Roulette.

We always start by betting 1 unit since this is the first number of the sequence. If you win any bet you always go back to betting 1 unit on the next turn. If a bet loses, you would bet 1 unit again since betting 1 unit will gain our lost unit on the previous wager.

This is where the sequence starts to kick in and must be followed in order to properly apply this strategy.

Let’s say we lose one bet and must wager 1 unit on the next turn and lose this bet as well. What will be the amount of units bet next? Using the Fibonacci system, we would take our last 2 bets and add them together to give us our total units to wager. In this example, we wagered 1 unit on the first turn and 1 unit on the second which totals 2.

We are now betting 2 units and somehow lose again. We would again take our last bet amounts and add them together. We used 2 the last bet and 1 unit on second to last. Our next bet would be 3 units. The sequence would continue in this manner until you have won. Once you win, go back to start of the sequence by betting one unit. You can see that by betting the last amounts on all lost bets, we will recover those losses and be at least break even over time.


This system does have some pitfalls as any betting system does. This sequence will work at any point as it never deviates from its original formula. However, if you encounter a bad run of luck, you could be betting a very large amount and risking your entire bankroll on one bet.

We only made it to 3 units in our example, but let’s see how the sequence would look after only 5 losses in a row.

Our first bet was 1 unit which loses. Our next would be 2 units. Our third loss would be 3 units. On our fourth lost bet we would now be betting 5 units since 3+2=5. If we lose for the fifth time we will be up to betting 8 units. If we go even further the number start to almost double. A sixth lost bet would require a 13 unit bet and a seventh would total 21 units.

This system is primarily best for short term results since the amount we have to bet after a streak of losses will be overwhelming. It also works well if you are on a shorter bankroll. While the losses can add up, in the short term, you will only be wagering small amounts making it useful for those on a budget.


You can adjust how this system works to suit your needs. If you do have a large bankroll, you can keep wagering the larger amounts after a string of losses. If you were betting 13 units and win, you could only go back a few spots in the sequence instead of all the way back to 1. This could help you make more money in the short term, but it does require you have more money since you’re always placing larger bets.

Best Bets for This System

As stated earlier, all even money bets will be best for this system. Here is a list of many even money bets in casino games.

  • Pass Line in Craps
  • Don’t Pass in Craps
  • Come/Don’t Come in Craps
  • Blackjack
  • Red/Black-Odd/Even in Roulette
  • Banker in Baccarat
  • Odd/Even in Sic Bo

These are the most popular games played and you may find other even money bets, but stick with these and you’ll do just fine.