Betting Systems Betting Systems

Basic & Betting TermsLast updated 2026.10.06

A collection of rules that change your bet size after wins and losses, such as Martingale, Paroli, d'Alembert, Fibonacci, and the Kelly criterion. It also explains why no system can change the house edge.

Betting Systems
Betting Systems
EnglishBetting Systems
ClassificationBasics & Betting Terms
Systems included11
CategoriesIncrease after losses · Increase after wins · Fixed or proportional
Key ideaNo system can change the expected value

Overview

A betting system is a set of rules for how to change your next bet after a win or a loss. Many of them have old names, such as Martingale, Paroli, d’Alembert, and Fibonacci. They started with table games like roulette and baccarat, and slot players often talk about them too.

Let’s start with one important fact. No betting system can change a game’s house edge. If the expected value of each bet is negative, the overall expected value is negative no matter how you split up your money. A betting system only changes “the shape of how you win and lose,” not the long-term result.

Increase after a loss

A method of raising your bet after a loss to win it all back at once. You earn small profits often, but occasionally suffer a large loss.

Martingale

Doubling your bet after every loss so that a single win recovers all earlier losses.

You double your bet after every loss and return to the starting amount after a win. The moment you win, you recover all your earlier losses and gain a profit equal to your starting bet. But as a losing streak grows, bets explode in size. If you start at 1 unit and lose 10 times in a row, your 11th bet is 1,024 units, and you have lost 1,023 units so far. On even-money bets in European roulette, the chance of 10 straight losses is low at about 0.13%, but if you play long enough you will eventually hit one, and then all your profits and your bankroll are gone. Table maximum bet limits also block this method.

Grand Martingale

A variant that adds one extra unit on top of doubling, to increase profit when recovering losses.

Like the Martingale, you double your bet, but add one extra unit. Wins bring a bigger profit, but bets grow even faster than in the Martingale, so the risk of going broke is greater too.

d’Alembert

A gentle approach: raise the bet by 1 unit after a loss and lower it by 1 unit after a win.

Named after the 18th-century French mathematician Jean le Rond d’Alembert. You raise your bet by 1 unit after a loss and lower it by 1 unit after a win. Bets grow more slowly than in the Martingale, so it looks less risky, but losses still pile up steadily during a losing streak.

Fibonacci

Following the sequence 1, 1, 2, 3, 5, 8 ..., moving to the next number after each loss.

You bet along the Fibonacci sequence (1, 1, 2, 3, 5, 8, 13…), where each number is the sum of the previous two. After a loss you move one step forward, and after a win you move two steps back. It grows more slowly than the Martingale, but the principle is the same, so it is weak against long losing streaks.

Labouchère

Building a list of numbers and betting the sum of the two end numbers.

You write a list of numbers like 1-2-3-4 and bet the sum of the two end numbers (1+4=5). If you win, you cross off both end numbers; if you lose, you add the amount you bet to the end of the list. When the whole list is crossed off, you have reached your target profit. As you lose, the list grows longer and your bets get bigger.

Increase after a win

A method that raises your bets after a win to “ride the flow.” Large losses are rare, but profits are also hard to hold for long.

Paroli

Doubling your bet after every win, then returning to the starting bet after a set number of wins.

The opposite of the Martingale: you double your bet after every win. Usually, after 3 wins in a row you go back to the starting amount and take the profit. When you lose, you only lose the starting amount, so losses are small, but 3 wins in a row is rare, so most of the time you slowly lose small starting amounts.

1-3-2-6 system

Betting 1, 3, 2, then 6 units in order as you keep winning.

You bet 1 unit first, then 3 units after a win, 2 units after another win, and 6 units after another. Four wins in a row gives a 12-unit profit, and if you lose midway you go back to the start. Like the Paroli, it aims to grow profit during winning streaks.

Oscar’s Grind

Aiming for just 1 unit of profit per cycle and raising the bet only after wins.

You set a 1-unit profit as the goal of each cycle and raise your bet by 1 unit only after a win, adjusting bets so you don’t overshoot the goal. It moves slowly, but in a long losing streak the cycle never finishes and losses pile up.

Methods that fix the bet amount or set it as a percentage

A method of betting by fixed rules regardless of winning or losing streaks.

Flat betting

Betting the same amount every time, regardless of results.

You always bet the same amount, win or lose. It is the simplest approach, and since the speed of your losses is predictable, it is good for bankroll management. In slots, most players are effectively flat betting. As with other methods, you still lose steadily at the rate of the house edge.

Proportional betting

Betting only a fixed percentage (for example, 1%) of your current funds.

You bet only a fixed percentage of your current bankroll, for example 1% each time. When your bankroll shrinks, your bets shrink too, so it takes a long time to hit zero. It helps lower the risk of ruin, but it doesn’t change the expected value.

Kelly criterion

A formula that calculates the optimal bet fraction from your win probability and the payout odds.

A formula published in 1956 by John Kelly of Bell Labs in the US. For bets with a positive expected value, it gives the bet size that grows your bankroll fastest. For example, with a 55% chance of winning at 1x odds, it tells you to bet 10% of your bankroll. But if you apply the Kelly formula to a game with a negative expected value, like a slot, the answer is “don’t bet (0%).”

Why betting systems don’t work

MisconceptionFact
After a losing streak, your chance of winning goes upEvery round is independent, so the odds stay the same (gambler’s fallacy)
If you split your bets well, you can beat the house edgeIf every bet has a negative expected value, the total is negative too
If you make small profits often, you end up aheadRare large losses wipe out all the small profits

If you simulate betting systems, the “shape” of profits and losses differs from system to system, but the average result converges on a loss of total bets × house edge in every case (law of large numbers).

Why they matter even less in slots

Systems like the Martingale were originally designed for roulette and baccarat, where the chance of winning is close to 50% and the payout is 2x. Slots have a low hit rate and a different win amount every time, so the idea that “one win recovers your losses” doesn’t hold. In slots, raising your bets mostly just speeds up your losses.

Related terms