Playbook
How to Play

Roulette

The wheel, the bets, the math, and why no strategy changes the odds. Everything you need to know before you play.

The 30-Second Version

Roulette is a game of pure chance. A ball drops into a numbered pocket — that’s your result. Every bet on a European wheel has a 2.70% house edge. American wheels double that to 5.26%. No strategy, system, or pattern changes these numbers. Pick the wheel with fewer zeros and set a budget before you sit down.

Chapter 1

How the Game Works

The Wheel
37POCKETS
European
1 zero
Numbers 1\u201336 in red & black, plus green zero(s)
01

The Wheel

A roulette wheel has numbered pockets colored red, black, and green. European wheels have 37 pockets (1–36 plus a single 0). American wheels add a 00 for 38 total. That one extra pocket nearly doubles the house edge.

European: 37 pockets | American: 38 pockets
02

Place Your Bets

Before the spin, place chips on the table layout. Inside bets go on specific numbers or small groups. Outside bets cover larger groups like red/black, odd/even, or dozens. You can place multiple bets on a single spin.

03

The Spin

The dealer spins the wheel and launches the ball in the opposite direction. When the ball settles into a pocket, that’s the result. Winning bets get paid; losing bets are cleared. Next round.

One pocket, one result, every spin
04

Every Spin Is Independent

The wheel has no memory. What happened on the last spin — or the last 100 spins — has zero effect on the next one. This is the single most important thing to understand about roulette.

No spin affects any other spin. Period.
Chapter 2

Bet Types

Inside Bets
01st 122nd 123rd 12
Straight
1 number35:1
Split
2 numbers17:1
Street
3 numbers11:1
Corner
4 numbers8:1
Six line
6 numbers5:1
Higher risk, higher payout
01

Inside Bets

Bets placed directly on numbers. Straight up (1 number, 35:1), Split (2 numbers, 17:1), Street (3 numbers, 11:1), Corner (4 numbers, 8:1), Six line (6 numbers, 5:1). Higher payouts, lower probability.

Higher risk, higher reward
02

Outside Bets

Bets on larger groups of numbers. Red/Black, Odd/Even, High/Low (1:1 payout, ~48.6% chance). Dozens and Columns (2:1 payout, ~32.4% chance). More frequent wins, smaller payouts.

Lower risk, more frequent wins
03

Same House Edge

Here’s the key insight: on a European wheel, every bet has the same 2.70% house edge. The payouts are calibrated so no bet is mathematically “better” than another. One exception: the 5-number bet on American tables has a 7.89% edge. Skip it.

Exception: 5-number bet = 7.89% edge
Chapter 3

The Math

The Zero Is the Edge
37POCKETS
European
2.70%
Without zeros, every bet would be perfectly fair
01

The Zero Is the Edge

Without the green zero, roulette would be a perfectly fair game. The zero(s) create the house edge — they’re extra pockets that don’t factor into the payout math. One zero = 2.70% edge. Two zeros = 5.26%.

0 = 2.70% edge | 0 + 00 = 5.26% edge
02

The Gap

A straight-up bet on a European wheel has a 1-in-37 chance of winning (~2.70%). But the payout is 35:1 — as if there were only 36 pockets. That gap between real odds and payout odds is the house edge.

03

What This Means for Your Wallet

On a European wheel, for every $100 you wager over time, you’d keep about $97.30 on average. On an American wheel, $94.74. Nearly double the cost — for one extra pocket.

EU: ~$2.70 per $100 | US: ~$5.26 per $100
04

French Rules: La Partage

Some European tables offer “la partage”: if the ball lands on zero, you get half your even-money bet back. This cuts the house edge to 1.35% — the best odds in roulette. If you see it, use it.

La partage = 1.35% house edge
Chapter 4

Tips for Informed Play

Check the Wheel
0
EU
1 zero
2.70%
00
US
2 zeros
5.26%
The only decision that changes the math
01

Check the Wheel Type

This is the only decision that actually changes the math. European (2.70%) is better than American (5.26%). If both are available, always pick European. It’s that simple.

European > American, always
02

Look for La Partage

French tables with la partage cut the even-money house edge to 1.35%. If the table offers it, stick to even-money bets (red/black, odd/even, high/low) to get the best odds in roulette.

03

Ignore the Scoreboard

Casinos display recent results on electronic boards. They’re decoration, not data. Every spin is independent — the board has zero predictive value. It’s there to encourage you to see patterns that don’t exist.

Decoration, not data
04

Skip the 5-Number Bet

On American roulette, the 5-number bet (0, 00, 1, 2, 3) has a 7.89% house edge — significantly worse than every other bet on the table. It’s the single worst bet you can make.

7.89% vs 5.26% — just skip it
05

Set Your Budget

Decide what you’re willing to spend before you sit down. Table roulette runs 30–40 spins per hour; online can be 60–80. Your session is an entertainment budget, not an investment.

30–40 spins/hour (table) | 60–80 (online)
Chapter 5

Common Myths

Busted
Martingale System
Double after every loss? You'll hit the table limit or your budget before the math rescues you. Same house edge on every spin.
MARTINGALE SEQUENCE
$5$10$20$40$80$160$320
7 losses = $635 down, chasing a $5 win
Math doesn't change with bet sizing
01

The Martingale System

Double after every loss to "guarantee" a win? The math doesn’t work. After 7 consecutive losses at $5, you’re down $635 chasing a $5 profit. You’ll hit the table limit or your budget long before the math rescues you. The house edge doesn’t change with bet sizing.

7 losses: $5 → $10 → $20 → $40 → $80 → $160 → $320 = $635 lost
02

Lucky Numbers & "Due" Results

Every number has exactly the same probability: 1 in 37 (EU) or 1 in 38 (US). The ball doesn’t know your birthday. And 8 blacks in a row? Next spin is still 48.6% red, 48.6% black, 2.7% green. Always.

The gambler’s fallacy — the most common mistake in gambling
Reference

Key Terms

House Edge
The percentage of each bet the casino expects to keep over time. European: 2.70%. American: 5.26%.
Inside Bet
A bet placed directly on numbers or small groups. Higher payouts, lower win probability.
Outside Bet
A bet on large groups (red/black, odd/even, dozens). Lower payouts, higher win probability.
Straight Up
A bet on a single number. Pays 35:1. Probability: 2.70% (EU) or 2.63% (US).
La Partage
French rule: if zero hits, you get half your even-money bet back. Cuts edge to 1.35%.
En Prison
French rule: if zero hits, your even-money bet stays "imprisoned" for one more spin.
Gambler's Fallacy
The false belief that past results affect future spins. They don't. Every spin is independent.
5-Number Bet
American-only bet on 0, 00, 1, 2, 3. House edge: 7.89%. The worst bet on the table.
Test Yourself

Quick Quiz

3 questions. See if the guide stuck.

1

What is the main difference between European and American roulette?

2

The ball has landed on black 8 times in a row. What's the probability of the next spin being red?

3

Which bet on an American roulette table has a WORSE house edge than all the others?

Now you know the math.

No fine print. Just facts. The wheel, the odds, and the house edge — all laid out.

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