The Fibonacci betting system helps casino players determine how much to stake when playing blackjack, roulette, baccarat and other popular games. It is a negative progression system, meaning you increase your stake each time you lose a wager. Fibonacci system betting is considered to be safer than following alternative strategies like the Martingale, but it still offers the potential for exciting profits. This Fibonacci strategy guide will explain how the system works, round up the pros and cons of using it, and describe how to apply the Fibonacci system to a variety of games at online casinos.
How Fibonacci System Works
Leonardo Bonacci of Pisa was renowned as the most talented mathematician of the Middle Ages. He went by the name of Fibonacci and found fame by popularising the numeral system across Europe in the early 13th century. Nowadays he is best known for his famous Fibonacci sequence, which remains popular some 770 years after his death.
He created the Fibonacci sequence to calculate the growth of rabbit populations. The Fibonacci numbers, commonly denoted Fn, form a sequence whereby each number is the sum of the proceeding two numbers, starting with 0 and 1. If you are into algebra, Fn = Fn−1 + Fn−2 for n ≥ 2 with F0 = 0, F1 = 1, which gives the sequence F0, F1, F2.
However, you do not actually need to concern yourself with any of that if you want to follow the Fibonacci strategy. You just need to remember the sequence it produces, or have the ability to work it out in your head. Every new number equals the sum of the previous two numbers, so for a Fibonacci betting system, you would go with: 1-1-2-3-5-8-13-21-34-55-89-144-233-377-610-987, and so on.
You can then use this sequence to determine how much you should wager on each spin of the roulette wheel, hand of blackjack or baccarat, or throw of the dice in craps. It is generally used on even money bets, where the chance of success is roughly 50/50, such as red/black or odd/even on roulette.
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Start off by setting aside a bankroll, which is an amount of money that you are comfortable with losing in a worst-case scenario. Assign a certain proportion of this bankroll as your base unit. It is unwise to go higher than 5% of your bankroll as a base unit amount, and many find 2% to be a safer choice. The base unit amount must not change while you are playing.
Let’s say you have £500 to play with, and opt for 2% of your bankroll as a base unit. That amounts to £10. You would start off by betting £10, which is 1 unit (the sequence begins with 1). If you were to win, you would start again by placing another £10 bet. However, if you lose, you move up the sequence: 1-1-2-3-5 and so on.
If you lose an initial £10 bet, your second bet would also be for £10 in this example. If that lost, you would place a £20 bet for your third wager, a £30 stake for your fourth bet, a £50 stake for your fifth bet, and so on, until you eventually win. You multiply your base unit by the number in the sequence to determine the amount you should wager.
If you lose a bet, move one number up the sequence. If you win, move two numbers down the sequence. Continue following that pattern as you play in order to use Fibonacci system betting. You simply work your way through the chain until you win, and then work your way back two places in the sequence and keep going.
ℹ️ This chart explains a hypothetical application of the Fibonacci betting system in practice:
|Wager||Stake||Result of Bet||Balance|
|1️⃣ First Bet||£10||Loss||-£10|
|2️⃣ Second Bet||£10||Loss||-£20|
|3️⃣ Third Bet||£20||Loss||-£40|
|4️⃣ Fourth Bet||£30||Loss||-£70|
|5️⃣ Fifth Bet||£50||Win||£30|
|6️⃣ Sixth Bet||£20||Loss||£10|
|7️⃣ Seventh Bet||£30||Loss||-£20|
|8️⃣ Eighth Bet||£50||Win||£80|
|9️⃣ Ninth Bet||£20||Loss||£60|
In this example, you have won just three out your 10 bets, but you would emerge with a profit by increasing your stake after each loss. If you had followed the more aggressive Martingale system while betting, that initial streak of four losses would have been a lot more damaging. The Fibonacci strategy is therefore considered to be safer than other progression systems.
The Fibonacci betting system is a negative progression system, as you decrease your stake after a win and increase it after a loss. Some players prefer to follow a reverse Fibonacci strategy. This involves the same sequence, but you move up the sequence after winning and down after losing. That is a more aggressive and potentially riskier strategy, but it can yield high returns if you enjoy a winning streak.