The Mathematics of Roulette: European vs. American

Players enthusiastically throw chips across the layout, placing complex bets on their favorite numbers, birthdays, and lucky patterns.

However, this is a massive, incredibly expensive illusion orchestrated perfectly by the casino industry.

If you do not understand the profound mathematical difference between “American Roulette” and “European Roulette,” you are voluntarily paying a massive, unnecessary tax to the casino.

We will show you the exact math equations the casino hopes you never learn.

How One Extra Pocket Doubles the Casino’s Profit

The original game of Roulette, invented in France and popularized in the luxurious casinos of Monte Carlo, features a wooden wheel with exactly 37 distinct pockets.

This extra green pocket is labeled with a “00” (Double Zero), and its creation birthed the “American Wheel.”

To a casual tourist, adding one single extra pocket to a spinning wooden wheel seems like a completely insignificant, irrelevant detail.

You are fighting against 38 possible outcomes on the American wheel, but the casino still pays you as if you are only fighting against 36.

Why the American Wheel is a Mathematical Disaster

Let’s calculate the math of a simple $10 straight-up bet on a single number (e.g., the number 17) on both wheels.

The math equation is: (1/37 x $350) – (36/37 x $10) = -$0.27.

The math equation is: (1/38 x $350) – (37/38 x $10) = -$0.526.

A House Edge of 5.26% is incredibly aggressive, making American Roulette one of the absolute worst bets in the entire table games pit.

How to Avoid the American Trap in Las Vegas

If the European wheel is mathematically superior for the player, why would anyone ever voluntarily sit down at an American table?

The casinos reserve the mathematically superior European wheels exclusively for the “High Limit” VIP salons, where the minimum bet is often $100 or $500 per spin.

When you log into a reputable online casino, you have access to both American and European roulette games directly in the lobby, usually at the exact same $1 minimum stakes.

These incredibly player-friendly rules apply to “Even Money” bets (like Red/Black or Odd/Even). If the ball lands in the green zero, instead of losing your entire bet, the casino only takes half (La Partage), or holds your bet “in prison” for the next spin, giving you a chance to win it back.

The Roulette Mathematical Cheat Sheet

• The American Wheel: Features 38 total pockets (1-36, plus 0 and 00). The House Edge is a brutal 5.26% on almost every single bet on the layout.
• The European Wheel: Features 37 total pockets (1-36, plus a single 0). The House Edge is a much more manageable 2.70%.
• The Sucker Bet: The casino created a special bet that includes the Double Zero just to extract even more money. Never place chips on this five-number combination.
• The Quick Check: If you see two green spaces (0 and 00) at the top of the layout, turn around and find a different table.

How the House Edge Drains Your Bankroll

Choosing the American wheel is voluntarily choosing to fight a war you are mathematically guaranteed to lose twice as fast.

Do not be a victim of casino geography.