Roulette Strategy Tested: Martingale, D'Alembert and Fibonacci vs Flat Betting
Quick answer
No roulette strategy beats the house edge. In our test of 50,000 sessions per system on a single-zero wheel, Martingale, D'Alembert and Fibonacci reached a 50 USDT profit goal about half the time, against 2.4% for flat betting. But every system lost 2.6 to 2.8 USDT per 100 USDT wagered, matching the 2.70% edge.
| Systems tested | Flat, Martingale, D'Alembert, Fibonacci |
|---|---|
| Sessions per system | 50,000 (100 USDT bankroll, goal 150 USDT) |
| Hit the goal most often | D'Alembert, 52.3% of sessions |
| Loss per 100 USDT wagered | 2.62 to 2.84 USDT for every system |
| Numbers on the wheel | 37 single zero, 38 American, 39 triple zero |
| Strategy that beats the edge | None |
There is no roulette strategy that beats the house edge, and our simulations show exactly why. We ran 50,000 sessions each of flat betting, Martingale, D'Alembert and Fibonacci on a single-zero wheel. The progressive systems hit their profit goal roughly 20 times as often as flat betting. Yet every one of them lost about 2.7 USDT for every 100 USDT wagered.
This guide explains how many numbers are on a roulette wheel, how each system works, the full results of our test, and the few choices that actually lower what you pay to play.
How many numbers on a roulette wheel?
The answer depends on how many zeros the wheel has:
| Wheel | Numbered pockets | Zero pockets | Total pockets |
|---|---|---|---|
| European (single zero) | 1–36 | 0 | 37 |
| American (double zero) | 1–36 | 0, 00 | 38 |
| Triple zero | 1–36 | 0, 00, 000 | 39 |
The numbers 1 to 36 are split 18 red and 18 black. The zeros are green and are neither red nor black, odd nor even, high nor low. On the roulette board, the same numbers sit in a grid of 12 rows by 3 columns, with the zeros at the top. Our guide to the American roulette wheel and table covers the 38-pocket layout in detail.
How many numbers are in roulette matters for strategy, because the zeros are the house edge. Every payout assumes 36 pockets:
house edge = (total pockets − 36) ÷ total pocketsSingle zero: 1 ÷ 37 = 2.70%. American: 2 ÷ 38 = 5.26%. Triple zero: 3 ÷ 39 = 7.69%.
These match the figures published by the Wizard of Odds. No roulette number, colour or pattern escapes this edge.
The four betting systems we tested
All four systems bet on red, starting at 1 USDT:
- Flat betting. Bet 1 USDT every spin, win or lose. This is the control group.
- Martingale. Double the bet after every loss; return to 1 USDT after a win. One win recovers all previous losses in the sequence plus 1 USDT.
- D'Alembert. Add 1 USDT to the bet after a loss; subtract 1 USDT after a win (never below 1 USDT). A gentler progression.
- Fibonacci. Bet amounts follow the sequence 1, 1, 2, 3, 5, 8, 13… Move one step forward after a loss and two steps back after a win.
Each session started with 100 USDT and stopped at the first of: reaching 150 USDT (a 50 USDT profit), the next bet being larger than the remaining bankroll, or 1,000 spins. The table maximum was 100 USDT.
What our simulation shows
| System | Reached 150 USDT | Stopped early (bet unaffordable) | Average result | Median spins | Average amount wagered | Loss per 100 USDT wagered |
|---|---|---|---|---|---|---|
| Flat 1 USDT | 2.43% | 1.69% | -26.81 USDT | 1,000 | 989.4 USDT | 2.71 USDT |
| Martingale | 48.67% | 51.33% | -6.46 USDT | 85 | 233.3 USDT | 2.77 USDT |
| D'Alembert | 52.30% | 47.70% | -16.98 USDT | 98 | 597.3 USDT | 2.84 USDT |
| Fibonacci | 48.50% | 51.50% | -12.43 USDT | 206 | 475.1 USDT | 2.62 USDT |
Goal-hitting rate goes up
Flat betting reached the 150 USDT goal in only 2.43% of sessions. Most flat sessions (95.88%) simply ran out of spins, drifting slowly downwards. The progressive systems changed that dramatically: Martingale hit the goal in 48.67% of sessions, D'Alembert in 52.30% and Fibonacci in 48.50%.
That is the appeal of these systems. They make a fixed profit target much more reachable, and they get there quickly: the median Martingale session lasted 85 spins.
The cost per 100 USDT wagered stays about 2.7%
The other half of the sessions is where the money goes. Roughly half of every progressive system's sessions ended because the next bet was more than the player had left. Those sessions lost far more than the winning sessions gained.
Look at the last column. Flat betting lost 2.71 USDT per 100 USDT wagered. Martingale lost 2.77, D'Alembert 2.84 and Fibonacci 2.62. All four sit close to the 2.70% house edge.
Why Martingale's average loss looks smaller
Martingale's average result (-6.46 USDT) is smaller than flat betting's (-26.81 USDT). That isn't the system working. Martingale sessions ended after a median of 85 spins and wagered 233.3 USDT on average; flat sessions wagered 989.4 USDT. Less money through the wheel means less money lost to the edge:
average loss = amount wagered × loss rateMartingale: 233.3 × 2.77% = 6.46 USDT. Flat: 989.4 × 2.71% = 26.81 USDT. Same rate, different volume.
If you stop playing sooner, you lose less. That's true of any system, including no system at all.
The math: why Martingale busts
The Wizard of Odds Martingale analysis shows that doubling doesn't dent the house edge. Here is why it busts a 100 USDT bankroll.
After six losses in a row starting at 1 USDT, you have lost 1 + 2 + 4 + 8 + 16 + 32 = 63 USDT. The next bet would be 64 USDT. If you started with 100 USDT and hadn't banked any profit yet, you have only 37 USDT left, and the system breaks.
P(6 losses in a row on red) = (19 ÷ 37)^6 = 1.83%On a single-zero wheel, red loses 19 times in 37. That 1.83% chance comes around in every betting sequence, and each sequence only wins 1 USDT.
A 1.83% chance sounds small, but you need dozens of winning sequences to make 50 USDT. Each one is another chance to hit the streak. The law of large numbers means the rare big losses show up in proportion over time.
Roulette strategy: what works and what doesn't
What doesn't work:
- Any progression system. Our test covered the three most popular, and all three lost at the house edge rate.
- Betting on what's "due". Thinking black is due after a run of reds is the gambler's fallacy: Britannica defines it as falsely assuming plays are dependent. The wheel has no memory.
- Tracking roulette numbers. Hot and cold number boards show the past, not the future.
What does work (to lower cost, not to win):
- Play the wheel with the fewest zeros. A single-zero wheel costs 2.70% per bet; the American roulette table costs 5.26%. That one choice roughly halves your expected loss.
- Bet less in total. Your expected loss is the total amount wagered times the edge. Smaller bets and fewer spins mean a lower bill.
- Decide your limits before you start. Our stop-loss and stop-win simulation shows what limits do to session outcomes.
- Pick the bet that suits your nerves. Our roulette risk and reward comparison shows how much each bet type swings.
Playing roulette strategies with USDT
Betting systems interact badly with crypto bankrolls in two ways.
First, progressions need a large bankroll relative to the base bet. If your bankroll is in a volatile coin, a price drop can shrink it in dollar terms just when the system needs it most. A stablecoin such as USDT keeps the bankroll's value fixed so you only face the wheel's swings.
Second, Martingale tempts you to top up mid-session to cover the next doubled bet. Each top-up can carry a network fee, adding to your cost. The USDT guides compare network fees. If you're drawn to auto-betting systems, our crash gambling guide shows the same pattern with auto-cashout targets: different win rates, same long-run cost.
Common mistakes
- Judging a system by how often it wins rather than by how much it loses per 100 USDT wagered.
- Mistaking a smaller average loss for a better system, when it only reflects less money wagered.
- Ignoring the table maximum, which caps how far a Martingale can double.
- Playing a 38-pocket American wheel when a 37-pocket wheel is available.
- Topping up the bankroll mid-session to keep a progression going.
For every roulette guide in one place, visit the roulette hub, or explore our other simulation datasets on the data page.
Frequently asked questions
What is the best roulette strategy?
No betting pattern changes the house edge, so the best strategy is about cost, not winning. Play a single-zero wheel (2.70% edge instead of 5.26%), bet a small share of your bankroll, and set a loss limit in advance. In our test, every system lost about 2.7 USDT per 100 USDT wagered on a single-zero wheel.
Does the Martingale strategy work in roulette?
It wins small amounts often and loses large amounts occasionally. In our 50,000-session test, Martingale reached a 50 USDT profit goal in 48.67% of sessions, but the other 51.33% ended when the next doubled bet was more than the bankroll. Overall it lost 2.77 USDT per 100 USDT wagered, no better than flat betting.
How many numbers are on a roulette wheel?
It depends on the wheel. A European wheel has 37 pockets: 1 to 36 and a single 0. An American wheel has 38: 1 to 36, 0 and 00. A triple-zero wheel has 39, adding a 000 pocket. The roulette board shows the same numbers in a grid of 12 rows by 3 columns, with the zeros at the top.
Why do betting systems seem to work at first?
Progressive systems convert many small wins into rare big losses. Most short sessions end with a small profit, which feels like the system is working. The big loss arrives less often but costs more than all the small wins put together. Over enough spins, the total still matches the house edge.
Is it better to bet on red or on single numbers?
On the same wheel, both have exactly the same house edge. Red wins 18 times in 37 on a single-zero wheel and pays 1 to 1; a single number wins once in 37 and pays 35 to 1. Red gives a smoother ride; single numbers give rare large wins. Neither costs less over time.
Sources
- Roulette Basics — Wizard of Odds. House edge: double-zero 5.26%, five-number bet 7.89%; single-zero 2.70%; triple-zero 7.69%; la partage about 1.35% on even-money bets
- Martingale Betting System — Wizard of Odds. Martingale does not dent the house edge
- Roulette: House odds — Encyclopaedia Britannica. American wheel about 5.26%; European about 2.7%; en prison about 1.35%; betting systems cannot beat the house edge
- Doctrine of the maturity of the chances — Encyclopaedia Britannica. Gambler's fallacy: falsely assumes plays are dependent
- Terminology — OpenStax, Rice University. Probability as long-run relative frequency; law of large numbers