Which roulette bet has the best odds?

They are all the same on a single-zero wheel: every bet returns 97.30% of the stake on average, a 2.70% house edge. A straight number wins 1 in 37 and pays 35:1; red wins 48.65% of spins and pays 1:1. Probability times total payout comes to 36/37 in both cases. The zero is the entire edge: it is the pocket that no even-money, dozen or column bet covers.

Does martingale on red work?

It changes when you lose, not whether. With a 1,000 bankroll and 10 base the plan covers 6 losses; the 7th loss in a row (probability 0.94% per streak) empties it. That streak appears in 60% of 200-spin sessions and 99% of 1,000-spin sessions. Each cycle that completes wins 10; the wall loses the lot, and the average stays at −2.70% of everything staked.

Why is roulette worse than the other games here?

Because the edge is set by the wheel, not by a formula. The other games take 1% off a fair payout. Roulette pays the classic table odds (35:1, 2:1, 1:1) on 37 pockets, one of which is the zero, so the edge is 1/37 = 2.70% on every bet. A double-zero wheel would make it 5.26%; this one has a single zero.

Roulette guidePublished 2026-09-27

Roulette strategy: the honest maths

Roulette strategy has less room to move than any other game here, because every bet on the wheel has the same expected value: −2.70%. Thirty-seven pockets, one zero, and table odds that would be fair on thirty-six. This guide computes the probability, payout and expectation of every bet the free Roulette game offers, then works through what martingale on red does to a real bankroll, with a simulator link that reproduces the run.

How roulette pays

The pocket is floor(float × 37) from one HMAC-SHA256 float: 0 to 36, each equally likely. The payouts are the standard table's: 35:1 on a number, 2:1 on a dozen or column, 1:1 on red, black, odd, even, low and high. Those odds would break even on a wheel with 36 pockets. With 37, every bet's expected value is p × (payout + 1) − 1 = −1/37.

What each bet does

Single-zero roulette: every bet type's probability, payout and expected value
Bet	Pockets covered	Probability	Pays	Win, one in	Expected value per unit
Straight (one number)	1	2.70%	35:1	1 in 37	-2.70%
Dozen (1st, 2nd or 3rd 12)	12	32.43%	2:1	1 in 3.1	-2.70%
Column	12	32.43%	2:1	1 in 3.1	-2.70%
Red or black	18	48.65%	1:1	1 in 2.1	-2.70%
Odd or even	18	48.65%	1:1	1 in 2.1	-2.70%
1–18 or 19–36	18	48.65%	1:1	1 in 2.1	-2.70%

Expected value is probability × (payout + 1) − 1 and reads −2.70% on every line. A straight number and an even-money bet lose the same fraction of the stake on average; the number just does it with far bigger swings.

What martingale on red does

Red wins 48.65% of spins and pays 1:1, which is why martingale is usually demonstrated on it: a win recovers every previous loss plus one base bet. The plan survives k losses where base × (2^k − 1) ≤ bankroll. With 1,000 and a 10 base that is 6 losses; the 7th is the wall.

Martingale on red, 1,000 bankroll, 10 base: how often a session hits the wall
Spins in session	P(a run of 7 non-reds)	Wins per cycle	Loss at the wall
50	19.2%	10	1,000
200	60.4%	10	1,000
1,000	99.1%	10	1,000

The probability is exact (a Markov chain on the current losing streak), with a non-red spin at 51.35% because the zero counts against you. Over 1,000 spins the wall is close to certain. The 7th stake would be 640 but only 370 is left, so the wall costs the whole 1,000: 100 winning cycles.

The simulator models Dice, so run martingale at 48.65% to match red's probability. Be aware it flatters the wheel: Dice at that chance pays 2.035× where red pays 2×, so the simulator's return on turnover reads about −1% while the real wheel reads −2.70%. The shape of the ruin curve is the same. Compare flat betting and d'Alembert on the same settings.

Covering the table (red plus the first two dozens, say) does not help: each chip has expected value −1/37, and expected values add. Betting on “due” numbers or colours assumes memory the wheel does not have; each spin is a fresh float. The Dice page shows the same arithmetic on a game that only takes 1%.

The wheel decides the edge and the bet decides the variance. Every wager returns 36/37 of its stake in expectation, so a session's expected loss is 2.70% of its turnover whatever pattern of bets produced it. Martingale converts that into many small wins and one ruinous streak; d'Alembert into a slower version of the same; flat betting into a steady drift. No staking plan changes the sign, and on this wheel the number is worse than the 1% the other games take.

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Questions

Which roulette bet has the best odds?: They are all the same on a single-zero wheel: every bet returns 97.30% of the stake on average, a 2.70% house edge. A straight number wins 1 in 37 and pays 35:1; red wins 48.65% of spins and pays 1:1. Probability times total payout comes to 36/37 in both cases. The zero is the entire edge: it is the pocket that no even-money, dozen or column bet covers.
Does martingale on red work?: It changes when you lose, not whether. With a 1,000 bankroll and 10 base the plan covers 6 losses; the 7th loss in a row (probability 0.94% per streak) empties it. That streak appears in 60% of 200-spin sessions and 99% of 1,000-spin sessions. Each cycle that completes wins 10; the wall loses the lot, and the average stays at −2.70% of everything staked.
Why is roulette worse than the other games here?: Because the edge is set by the wheel, not by a formula. The other games take 1% off a fair payout. Roulette pays the classic table odds (35:1, 2:1, 1:1) on 37 pockets, one of which is the zero, so the edge is 1/37 = 2.70% on every bet. A double-zero wheel would make it 5.26%; this one has a single zero.

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Last reviewed 2026-09-27