Fibonacci gambling system explained

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Fibonacci system

The Fibonacci gambling system is based on a naturally occurring mathematical sequence and dates back almost 900 years.

For centuries, this sequence has been used as the basis for a winning gambling strategy and is still a favourite of Roulette players today.

The Fibonacci sequence can be difficult to remember, so players may find it helpful to write down the sequence (and their bets) in advance.

Sequence of bets

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In the Fibonacci, the sequence itself is cumulative. In other words, the next number is equal to the sum of the two previous ones. So the first 12 numbers in the sequence are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144

Remember that the numbers represent betting units so if, for example, you're betting in £10 units, your bets are

£10, £10, £20, £30, £50, £80, £130, £210, £340, £550, £890, £1440

One step forward, two steps back

Using the Fibonacci system, you progress through the sequence on losing bets and return towards the start with winning bets. Each time you lose, you move on to the next number in the sequence. Each time you win, you step back two numbers.

Cancel out losses - slowly

Although a progressive gambling system, the Fibonacci differs from the Martingale system, for example, in that it doesn't seek to cancel out the total loss with one huge win, just the last two losing bets.

An example of the Fibonacci in action

Let's say we lose our first four bets. So far, we've lost 7 units.

Moving forward in the sequence, the next bet is 5. If that wins, it gets back the last two losing bets i.e. 3 and 2. The loss is now 2 units.

You then step back two numbers in the sequence and bet 2 units. If that wins, it wins back the 1 and 1. Now, you're all square and start again from 1.

Write it down as you go!

When you first start playing the Fibonacci system, it's very useful to write down the sequence as you go. It can be a little complicated to remember where you're up to, especially in the heat of a game. As you get more experienced, the calculations can be done in your head.

The Fibonacci - tested

The table below shows how the Fibonacci fared in our systems tests.

For a reminder of the tests we use, check out our systems summary page…


1. Alternating win
2. Alternating loss
3. Consecutive win
4. Consecutive loss
5. Good win
6. Bad loss

Overall result for all 6 tests


2 units profit
0 units profit
4 units profit
1 units loss
9 units profit
20 units loss

6 units loss

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Steady profits

The Fibonacci gives small, steady profits without the risk of huge losses.

Our guide to successful gambling tells you to limit losses by deciding in advance how far down the sequence you should go. The last test suggests going no more than 5 or 6 steps.

If you follow this advice, the Fibonacci is a less extreme system than most.

For that reason, we recommend the Fibonacci gambling system for medium-risk gamblers - those looking for consistent profits, but who don't mind the occasional moderate loss.

Worth the risk?

Although ranked as a medium-risk system, the Fibonacci still returns an overall loss on our gambling systems tests (above).

In those tests, only 3 systems returned an overall profit - the Paroli, the 1-3-2-6 and Fortune Palace's own 1-3-2-4. Although the Fibonacci is an entertaining system, before you get too committed, it might be worth checking out one of those three winning systems instead.

Where to use the Fibonacci system

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