American roulette has 38 pockets: numbers 1 through 36, zero, and double zero. Most standard wagers carry a 5.2632% house edge because the payout schedule is based on 36 numbered outcomes while both green pockets remain losing outcomes for the player.
The major standard exception is the five-number basket covering 0, 00, 1, 2, and 3. At the common 6-to-1 payout, its house edge is 7.8947%.
One extra green pocket doubles the pricing error
A fair straight-up payout on a 38-pocket wheel would be 37 to 1: one winning pocket and 37 losing pockets. American roulette normally pays 35 to 1.
For a 1-unit straight-up wager:
[ EV=\frac{1}{38}(35)+\frac{37}{38}(-1) ]
[ EV=\frac{35-37}{38}=-\frac{2}{38}=-0.052632 ]
The expected loss is 5.2632% of the amount wagered.
On a single-zero wheel, the same 35-to-1 payout produces:
[ EV=\frac{35-36}{37}=-\frac{1}{37}=-2.7027% ]
The visual difference is one pocket. The pricing difference is nearly double. The European versus American comparison covers the broader format choice; this page focuses on how the American wheel converts its 38 outcomes into expected cost.
Why almost every standard bet has the same edge
Roulette payouts follow a common structure. A conventional wager covering (n) numbers pays:
[ Payout=\frac{36}{n}-1 ]
That schedule distributes 36 units between the winning stake and profit, regardless of whether the bet covers 1, 2, 3, 4, 6, 12, or 18 numbers. On the 38-pocket American wheel, two outcomes remain outside that 36-unit pricing model.
| Bet | Numbers covered | Profit payout | Win probability | House edge |
|---|---|---|---|---|
| Straight-up | 1 | 35 to 1 | 1/38 | 5.2632% |
| Split | 2 | 17 to 1 | 2/38 | 5.2632% |
| Street | 3 | 11 to 1 | 3/38 | 5.2632% |
| Corner | 4 | 8 to 1 | 4/38 | 5.2632% |
| Six-line | 6 | 5 to 1 | 6/38 | 5.2632% |
| Dozen or column | 12 | 2 to 1 | 12/38 | 5.2632% |
| Red/black, odd/even, high/low | 18 | 1 to 1 | 18/38 | 5.2632% |
Higher hit frequency does not mean lower price. An even-money bet wins more often and moves in smaller increments. A straight-up number wins rarely and produces large jumps. Their variance differs; the edge per initial unit wagered is the same.
The five-number basket is worse
The American layout often offers a wager on 0-00-1-2-3. It covers five pockets and commonly pays 6 to 1.
For a 1-unit bet:
[ EV=\frac{5}{38}(6)+\frac{33}{38}(-1) ]
[ EV=\frac{30-33}{38}=-\frac{3}{38}=-0.078947 ]
The house edge is 7.8947%.
A fair payout would be 6.6 to 1, which is impractical in normal chip units. The common 6-to-1 award underpays the five-pocket coverage more heavily than the standard schedule. The zero and double-zero top-line guide separates this basket from other bets around the green numbers.
A lower table minimum can still be the more expensive choice
Players sometimes choose double-zero roulette because its minimum wager is lower. That can be reasonable only after comparing actual total action.
Suppose the available tables are:
- single zero at a 15-unit minimum;
- double zero at a 10-unit minimum.
If the player makes one minimum wager for 60 spins:
| Wheel | Bet per spin | Total action | Edge | Expected loss |
|---|---|---|---|---|
| Single zero | 15 | 900 | 2.7027% | 24.32 units |
| Double zero | 10 | 600 | 5.2632% | 31.58 units |
Even with the smaller stake, the American table has the higher theoretical cost in this example.
The break-even stake comparison is:
[ Stake_A\times0.052632=Stake_E\times0.027027 ]
[ Stake_A\approx0.5135\times Stake_E ]
The American-wheel stake must be about half the European-wheel stake to produce similar expected loss per spin. A 10-unit American wager is therefore comparable in theoretical cost to roughly a 19.47-unit single-zero wager.
Multiple chips create one combined expected cost
A layout can contain several simultaneous wagers. Expected loss is additive.
Suppose one spin contains:
- 10 units on black;
- 5 units on the first dozen;
- 2 units on a straight number.
Total action is 17 units. If all three wagers carry the standard 5.2632% edge:
[ Expected\ loss\ per\ spin=17\times0.052632=0.8947\text{ units} ]
The bets are correlated because one winning number settles all of them together, so the result distribution must be evaluated from the combined layout. Correlation changes volatility and possible net outcomes; it does not change the sum of their expected values.
For example, a number may win the straight bet, the dozen, and the color simultaneously. Another result may lose all three. Counting each chip as a separate “chance to win” hides the total amount exposed to one spin.
Expected loss per hour depends on pace
House edge is a percentage of action, not time. Hourly theoretical loss can be approximated by:
[ Hourly\ expected\ loss=Average\ action\ per\ spin\times Spins\ per\ hour\times House\ edge ]
At 20 units per spin and 45 spins per hour:
[ 20\times45\times0.052632=47.37\text{ units per hour} ]
At the same stake and 65 spins per hour:
[ 20\times65\times0.052632=68.42\text{ units per hour} ]
Electronic, stadium, auto-roulette, and lightly occupied live games may resolve at different speeds. Format does not change the 38-pocket mathematics when the wheel and payouts are the same, but speed changes how quickly wagering volume accumulates.
Use the expected-loss calculator with realistic action and decision counts rather than using buy-in as a substitute for wagering volume.
House edge is not the casino’s result on one table
House edge and table hold are different measurements.
- House edge is the expected loss per initial unit wagered under the rules.
- Table hold is actual casino win divided by a selected operational denominator, often drop or another reported amount.
A double-zero table can lose money during a shift because players hit large inside bets. It can also show unusually high hold because players lose buy-ins quickly. Neither short-term result changes the 5.2632% edge.
Casino management evaluates average bet, decisions, occupancy, game protection, dealer accuracy, drop, and actual win together. The wheel supplies the mathematical advantage; operations determine how much valid action is dealt and recorded.
Rules and layout details still require verification
Official rules define the permitted wheel, wagers, payouts, betting cutoff, and settlement procedure. The Nevada double-zero roulette rules, for example, identify a 38-number wheel with 18 red, 18 black, 0, and 00. A particular casino may also spread side bets, special features, different table limits, or electronic presentations with separate approved mathematics.
The posted help screen or table placard should answer:
- Is the wheel double zero or triple zero?
- Does the five-number wager pay 6 to 1?
- Are there any zero-protection rules for even-money bets?
- Are side wagers included that have separate paytables?
- What are the minimum and maximum total layout wagers?
Do not use the standard 5.26% figure for a bet whose payout or wheel has changed.
Why the extra edge matters more at high repetition
The difference between 2.7027% and 5.2632% is only 2.5605 percentage points, but repeated action magnifies it. Across 10,000 units wagered, the expected-loss gap is about 256.05 units. Across 100,000 units, it is about 2,560.5 units.
That comparison does not require a long uninterrupted session. Wagering volume accumulates across visits. A player who repeatedly chooses the more expensive wheel pays the higher mathematical rate whenever the same standard wagers are resolved.
The best available decision is usually wheel selection
No arrangement of standard bets removes the two green pockets. Betting systems change stake paths, not expected value. Covering more numbers increases hit frequency while lowering payout; covering fewer numbers creates larger swings.
The practical hierarchy is:
- choose single zero over double zero at comparable exposure;
- avoid the five-number basket;
- compare stake and game speed, not minimum signs alone;
- calculate total action across every chip on the layout;
- treat short-term wins as results, not evidence that the wheel price changed.
The American roulette odds page lists hit rates, while why double zero exists explains the product decision. The mathematical verdict is direct: American roulette is not harder because the bets are complex. It is more expensive because 0 and 00 remain in the wheel while standard payouts stay anchored to 36 numbered pockets.