The math of roulette

Roulette strategy and the house edge

Compare bets by probability, payout and expected loss. A betting pattern can change the size and timing of swings, but it does not remove the standard house edge.

What “best odds” actually means

A color bet is more likely to win one spin than a straight-up bet, but pays less. On the same standard European wheel both have the same 2.70% house edge. Highest win probability and lowest long-run cost are different comparisons.

Betting systems do not change the wheel

Martingale, fixed stakes and other progressions change the amount exposed after each result. They do not change the probability of the next pocket. No staking system guarantees a profit on a fair standard wheel.

Compare the stated rules

An extra zero worsens standard probabilities at the same payouts. La Partage changes eligible even-money settlement. Compare the actual pocket count, payout and zero rule rather than a casino location or a “winning strategy” claim.

Hot numbers and predictors

On a fair independent wheel, every pocket remains equally likely on the next spin. A recent pattern or a number predictor does not establish a real physical bias. This site supplies calculations, not forecasts.

Time, stakes and exposure

Expected loss scales with total amount wagered under the stated model. Reducing a stake or the number of bets reduces exposure, not the house-edge percentage. Stop rather than increasing stakes to recover a loss.

Best odds in roulette compared

Win chance and house edge on a European wheel
BetChance of winningPayoutHouse edge
Straight-up2.70%35:12.70%
Split5.41%17:12.70%
Street8.11%11:12.70%
Corner10.81%8:12.70%
Six-line16.22%5:12.70%
Dozen / column32.43%2:12.70%
Red / black48.65%1:12.70%
Odd / even48.65%1:12.70%
Low / high48.65%1:12.70%

The house edge column does not change. Picking a bet chooses how often you win and how much each win pays, not how much you lose on average.

Common roulette betting systems

Martingale
Double the stake after each loss. Explained step by step in Martingale roulette explained.
Reverse Martingale (Paroli)
Double the stake after each win and reset after a loss.
D’Alembert
Raise the stake by one unit after a loss and lower it by one unit after a win.
Fibonacci
Follow the sequence 1, 1, 2, 3, 5, 8… after losses and step back after a win.
Labouchère
Write a list of numbers, stake the sum of the first and last, and cross numbers off after wins.
Flat betting
Keep the same stake on every spin.

Each system only changes stake sizes. Every individual bet still carries the wheel's house edge, so none of them changes the expected loss per dollar wagered.

Expected loss over a session

Average expected loss for $10 per spin
SpinsTotal wageredEuropeanAmerican
50$500$13.51$26.32
100$1,000$27.03$52.63
200$2,000$54.05$105.26

Smaller stakes and fewer spins reduce total exposure. The roulette odds calculator shows the expected net for any stake.