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ROU 313: Roulette Payouts vs True Odds

Roulette payouts look fair until you compare them with true odds. The missing payment on zero is where the house edge lives.

ROU 313: Roulette Payouts vs True Odds
Point Value
House Edge 2.70% EU / 5.26% US
Difficulty Medium
Skill Ceiling Medium

Roulette payouts are lower than the true odds of the bet. A European straight-up number has true odds of 36 to 1 against winning, but it pays only 35 to 1. An American straight-up number has true odds of 37 to 1 against winning, but still pays only 35 to 1. That gap is the casino edge.

Quick Facts

  • “35 to 1” means you win 35 units plus keep the original stake.
  • True odds compare losing outcomes to winning outcomes.
  • European roulette has 37 pockets, so a single number has 36 losing outcomes.
  • American roulette has 38 pockets, so a single number has 37 losing outcomes.
  • Standard roulette payouts do not fully pay for zero or double zero.
  • Payout shortage creates the 2.70% European edge and 5.26% American edge.
  • The same payout chart can hide very different wheel costs.

Plain Talk

Roulette looks clean because the payout chart is easy to memorize. One number pays 35 to 1. A split pays 17 to 1. A street pays 11 to 1. A corner pays 8 to 1. A dozen pays 2 to 1. Red or black pays even money.

The trap is that a payout chart is not the same as true odds.

True odds ask a colder question: how many ways can you lose compared with how many ways you can win? On a European wheel, a straight-up number wins on 1 pocket and loses on 36 pockets. Fair true odds would be 36 to 1. The table pays 35 to 1. The missing unit is the house edge.

On an American wheel, the same bet wins on 1 pocket and loses on 37 pockets. Fair true odds would be 37 to 1. The table still pays 35 to 1. That is why American roulette is much more expensive than European roulette.

For base numbers, compare this page with roulette payouts and roulette odds. The Wizard of Odds roulette basics lists common payouts and house edges. The Nevada roulette rules of play and Massachusetts roulette rules show the formal bet settlements behind the payout schedule.

How It Works

Here is the simple comparison.

BetNumbers coveredTable payoutEuropean true oddsAmerican true odds
Straight-up135 to 136 to 137 to 1
Split217 to 135 to 236 to 2
Street311 to 134 to 335 to 3
Corner48 to 133 to 434 to 4
Six-line65 to 131 to 632 to 6
Dozen122 to 125 to 1226 to 12
Red/Black181 to 119 to 1820 to 18

The table payout is what the casino pays you after a win. The true odds are what a perfectly fair game would need to pay to remove the casino edge.

Notice the pattern. The roulette payout chart is built as if zero does not deserve a full payment to the player. On American roulette, double zero makes the shortage larger.

That is why European vs American Roulette is not a cosmetic choice. It changes the true odds gap.

Roulette Table Example

A player bets $10 straight-up on 17.

WheelWin chanceFair payoutReal payoutWhat is missing
European1/37$360 profit on a $10 bet$350 profit$10 per 37-spin cycle
American1/38$370 profit on a $10 bet$350 profit$20 per 38-spin cycle

On the European wheel, imagine 37 spins where every number lands once. The player loses $10 on 36 spins and wins $350 once.

Total result: -$360 + $350 = -$10.

That $10 loss over $370 total action equals about 2.70%.

On the American wheel, imagine 38 spins where every pocket lands once. The player loses $10 on 37 spins and wins $350 once.

Total result: -$370 + $350 = -$20.

That $20 loss over $380 total action equals about 5.26%.

Same bet. Same posted payout. Different true cost.

From the Casino Side:

The casino does not need roulette players to make bad individual choices. The payout chart already prices the game.

From the floor side, the important thing is that dealers settle bets correctly and consistently. A mispaid straight-up, a wrongly cleared split, or a late bet accepted after “no more bets” can matter more than a player’s betting pattern. The payout schedule is the machine. Procedure protects the machine.

Game managers also care about whether players understand “to 1” payouts. Confusion creates disputes. A player who thinks 35 to 1 means something different can slow the table, argue with the dealer, and force a supervisor call.

Surveillance watches whether payouts match the layout and bet placement. It is not debating whether a player has a lucky number. It is checking whether the table paid the correct odds.

Common Mistakes

  • Thinking a 35 to 1 payout means a straight-up number is fairly priced.
  • Comparing bets by payout size without checking probability.
  • Forgetting that zero and double zero are losing outcomes for most bets.
  • Thinking American roulette is only slightly worse because the layout looks similar.
  • Confusing “to 1” with “for 1.”
  • Believing high payouts create high value.
  • Ignoring total action when calculating the cost of a payout shortage.

Hard Truth

Roulette does not beat you because the payout chart is complicated. It beats you because the payout chart is simple, familiar, and quietly short of true odds.

FAQ

What are true odds in roulette?

True odds are the fair odds based on the number of losing outcomes versus winning outcomes. They show what the payout would need to be with no house edge.

Why does a straight-up bet pay 35 to 1 instead of 36 to 1?

Because roulette keeps a casino edge. On a European wheel, one number wins and 36 pockets lose, so 36 to 1 would be closer to fair. The table pays 35 to 1.

Why is American roulette worse if the payout is the same?

American roulette has 38 pockets instead of 37. The extra double zero adds another losing outcome without improving the payout.

Does every roulette bet have unfair payouts?

Standard roulette bets are priced to give the house an edge. The exact edge depends on wheel type and special rules like La Partage or En Prison.

Are inside bets worse because they pay more?

Not on a standard wheel by percentage edge. They are usually more volatile, but many standard bets share the same house edge.

What does “to 1” mean?

It means profit compared with your stake. A $10 bet paid at 35 to 1 wins $350 profit, and your original $10 stake is also returned.

Can a roulette payout ever be better than usual?

Special rules can improve certain bets. La Partage and En Prison can reduce the effective edge on even-money bets in French roulette.

Deeper Insight

The cleanest way to understand roulette is to separate three numbers:

  1. Probability of winning.
  2. Payout when you win.
  3. Expected value after wins and losses are combined.

Players often stop at number two. They see 35 to 1 and feel the bet has power. The actual value sits in number three.

That is why a straight-up bet can be exciting and still negative. The payout is big because the win is rare. It is not big enough to fully compensate for the rarity.

The same logic explains why outside bets feel safer but are not automatically cheaper. Red/black wins more often than a single number, but zero still breaks the fair coin. On a European wheel, red wins 18 pockets and loses 19 pockets. A fair payout would need to account for that extra losing pocket. The table pays even money.

The house edge is not a mood. It is arithmetic.

Formula / Calculation

True odds:

$$True\ Odds = \frac{Losing\ Outcomes}{Winning\ Outcomes}$$

European straight-up true odds:

$$True\ Odds = \frac{36}{1} = 36\ to\ 1$$

American straight-up true odds:

$$True\ Odds = \frac{37}{1} = 37\ to\ 1$$

Expected value for a European straight-up 1-unit bet:

$$EV = \left(\frac{1}{37} \times 35\right) - \left(\frac{36}{37} \times 1\right)$$

$$EV = \frac{35}{37} - \frac{36}{37} = -\frac{1}{37} = -2.70%$$

Expected value for an American straight-up 1-unit bet:

$$EV = \left(\frac{1}{38} \times 35\right) - \left(\frac{37}{38} \times 1\right)$$

$$EV = \frac{35}{38} - \frac{37}{38} = -\frac{2}{38} = -5.26%$$

Formula Explanation in Plain English

Count how many pockets make you win. Count how many pockets make you lose. A fair game would pay enough to balance those losing pockets. Roulette pays less than that. The missing part becomes the long-term casino edge.

Use the roulette guide for the full course path. Compare this page with roulette payouts, roulette odds, and roulette house edge. To test exact wagers, use the roulette odds calculator and house edge calculator. For the psychological side, read why roulette systems fail and why roulette is easy to understand but hard to beat.

Play smart. Gambling involves real financial risk. If the game stops being entertainment, it's time to stop playing.