Roulette strategy: what betting systems really do

The only choice that changes the odds: the European wheel

Fair Go lists European Roulette and American Roulette. They pay the same for every bet, but the American wheel has a second zero, so it wins less often for you. Every standard bet costs 2.70% on the European wheel and 5.26% on the American. Choosing the single zero halves the cost of everything you do afterwards, which is more than any staking plan can claim.

Everything below assumes the European wheel and even-money bets such as red or black, which win 18 times in 37.

Martingale, with the maths

The Martingale doubles your bet after every loss, so the first win recovers everything and makes a profit of one base bet. Start at $5 and the bets run $5, $10, $20, $40 and on up.

• Chance of 7 even-money losses in a row(19/37)⁷ ≈ 0.94%
• That's about1 run in 106
• Lost after 7 straight losses$635
• Bet 8, to win back one base bet$640 to win $5

Most of the time the Martingale works: you win $5 and start again. But a 1-in-106 event comes round quickly when you play run after run, and when it does, one bad streak wipes out 127 small wins. The expected cost is unchanged, 2.70% of everything you stake. The system only rearranges it into many small wins and a few large losses.

Limits end it sooner. While you're wagering a Fair Go bonus, bets are capped at $10, so a $5 Martingale can double only once before the next bet would break the cap. Table maximums do the same at higher stakes.

Fibonacci

The Fibonacci system stakes along the sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, where each number is the sum of the two before. After a loss you move one step along; after a win you move two steps back. Bets grow more slowly than the Martingale, which feels safer.

In $5 units, eight losses in a row cost $270, and the ninth bet is $170. A single win there doesn't recover the run, it only moves you back two steps, so a long losing streak followed by a short winning one still leaves you down. The edge on every bet is the same 2.70%.

D'Alembert

The D'Alembert adds one unit after a loss and takes one away after a win. It rests on the idea that wins and losses even out, so a higher stake after a loss is more likely to land. They don't: the wheel has no memory, and red is exactly as likely after five blacks as after five reds.

With $5 units, five losses in a row are bets of $5, $10, $15, $20, $25: $75 gone, with the next bet at $30. If wins and losses came out exactly even, the system would finish one unit up for every win. On a wheel where even-money bets win 48.65% of the time they don't come out even, and the 2.70% edge applies to every unit you stake.

Labouchère

The Labouchère, or cancellation system, starts with a line of numbers that adds up to your target, say 1-2-3-4 for 10 units. Each bet is the first number plus the last. A win crosses both off; a loss adds the amount you lost to the end of the line. You finish when every number is crossed off.

In $5 units, the first bet is 5 units ($25). Win, and the line becomes 2-3. Lose, and it becomes 1-2-3-4-5, with a next bet of 6 units. Because each win removes two numbers and each loss adds one, the line can be cleared while winning only about a third of bets, which sounds like an edge. It isn't: a bad run makes the line, and the bets, grow quickly, and the bet cap or your budget stops you before the line is cleared.

James Bond

The James Bond strategy spreads $200 across one spin: $140 on 19 to 36, $50 on the six line 13 to 18 and $10 on zero. It covers 25 of the 37 numbers, so it wins about two spins in three. Here's what each result does on a European wheel:

• 19 to 36 lands (18 numbers)+$80
• 13 to 18 lands (6 numbers)+$100
• Zero lands (1 number)+$160
• 1 to 12 lands (12 numbers)−$200
• Average result per $200 spin−$5.41 (2.70%)

Winning often feels like a strategy, but the losing spins cost more than two wins earn. The average works out to exactly the wheel's 2.70%, and the stake per spin is far above Fair Go's $10 cap for bonus play.

Inside vs outside bets: same edge, different swings

On a European wheel every standard bet carries the same 2.70% edge. What changes is how the results arrive. Compare $5 a spin for 37 spins on a single number with $5 a spin on red:

• Single number: on average one hit at 35:1 (+$175) and 36 misses (−$180). Net −$5, with long dry runs in between.
• Red: on average 18 wins (+$90) and 19 losses (−$95). Net −$5, in small steps.

Same cost, different ride. Pick by how much swing your budget can take, not by which one feels luckier. Our roulette guide lists every bet's payout and chance on both wheels.

A session plan instead of a system

You can't change the edge, but you can decide what a session costs and when it ends:

1. Choose the European wheel. It's the one decision that cuts the cost.
2. Set a flat stake. The same bet every spin keeps the maths predictable: 100 spins at $5 is $500 staked, with an average cost of $13.51.
3. Set a time limit. Online roulette spins fast, and the cost follows the number of spins.
4. Set a loss limit, and keep it. When it's gone, stop. Raising stakes to win it back is the Martingale by another name.

If stopping is getting hard, our responsible gambling page lists free, confidential support.

Where decisions do change the cost

Blackjack and Jacks or Better reward the right decision on every hand. Pai Gow Poker is the slow, low-swing table, and European roulette is the wheel to choose.

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Roulette strategy FAQ