Bits & Odds

Free Roulette Simulator

Play free roulette in your browser across all three real casino wheel geometries: European single-zero (2.70% house edge), American double-zero (5.26%), and the 39-pocket triple-zero wheel (7.69%). Place any inside or outside bet, spin one ball or 100 spins at once, and watch the live electronic readerboard test "hot" and "cold" numbers against exact probability.

Chip:

No chips on the felt yet. Click any pocket or outside box above (or click Spin for $5 on Red).

Ready to spin. Select a wheel and place your chips on the layout.

Bankroll
$1,000.00
Chips on felt
$0
Total wagered
$0
Session net
$0.00
Expected EV loss
$0.00
Active wheel edge
5.26% (2/38) · 38 pockets

Live Electronic Readerboard ("Tote Board") & Chi-Square Test

Spins recorded: 0 · χ²: —

Spin the wheel to see hot/cold numbers emerge by pure chance.

Recent winning pockets (newest first)
No spins yet.
Hot numbers (most frequent)
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Cold numbers (least frequent / sleeping)
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Physical clockwise pocket sequence around the selected wheel head

1. European (0) vs. American (00) vs. Triple-Zero (000)

Every roulette bet is priced as if the wheel held only the 36 numbers from 1 to 36. A Straight Up bet on a single number pays 35 to 1 (returning your 1-unit stake plus 35 units of profit, or 36 units total); a Split on two numbers pays 17 to 1; a Dozen covering 12 numbers pays 2 to 1; and an even-money bet on Red or Black covering 18 numbers pays 1 to 1. Without green pockets, every bet on the felt would have a 0.00% house edge.

The entire house advantage comes from the green pockets in the denominator:

Wheel geometry comparison at $25 per spin, 60 spins per hour ($1,500 hourly action)
Wheel Variant Total Pockets Straight-Up Hit Prob. Even-Money Win Prob. House Edge Expected Loss / Hr
European Single-Zero (La Partage even-money) 37 (0) 1 / 37 (2.70%) 18 / 37 (half back on 0) 1.35% $20.27
European Single-Zero (Standard) 37 (0) 1 / 37 (2.70%) 18 / 37 (48.65%) 2.70% $40.54
American Double-Zero 38 (0, 00) 1 / 38 (2.63%) 18 / 38 (47.37%) 5.26% $78.95
Triple-Zero (0, 00, 000) 39 (0, 00, 000) 1 / 39 (2.56%) 18 / 39 (46.15%) 7.69% $115.38

2. Physical Wheel Pocket Ordering vs. Sequential Felt Numbering

A common misconception is that because the betting felt lists numbers in sequential order (1, 2, 3 in the top row down to 34, 35, 36 at the bottom), those numbers sit next to each other on the spinning wheel. In reality, the felt is ordered sequentially only so players and dealers can locate numbers rapidly and form numerical groups (Dozens, High/Low, Streets). On the physical wheel head, consecutive numbers are deliberately separated to prevent any physical wheel bias or sector throw from favoring one outside proposition.

3. Electronic Tote Boards ("Readerboards"): Hot Numbers, Cold Numbers & Variance Math

Walk past any live roulette pit and you will see an illuminated vertical display pole—the electronic tote board or readerboard—connected to an optical rim sensor or camera. It displays a scrolling column of the last 16 to 20 winning numbers (indented left for Red, right for Black, centered for Green), percentage bars for Red/Black, Odd/Even, and High/Low, and two prominent boxes at the bottom: Hot Numbers (most frequent over the last 100 to 500 spins) and Cold Numbers (least frequent or longest-sleeping pockets).

Why do casinos pay for optical sensors and LED readerboards on a game with no memory? Because the display monetizes two opposite cognitive biases at the same time:

  1. The Gambler's Fallacy (Chasing Cold Numbers): Seeing that number 17 has not hit in 140 spins, or that Black has landed 9 times in a row, convinces players that the outcome is "overdue" for a correction. On an independent wheel, the ball has no memory: after 9 Blacks in a row on an American wheel, the probability of Red on spin 10 is still exactly 18/38 (47.37%), and the probability of 17 is still 1/38 (2.63%).
  2. The Hot-Hand Fallacy (Chasing Hot Numbers): Other players read the "Hot" list and assume a number that hit 7 times in the last 100 spins is riding a streak or reveals a warped pocket.

Both reactions accomplish what the casino wants: they pull players off low-volatility 1:1 outside bets and persuade them to scatter chips across 35:1 straight-up inside bets, where per-spin standard deviation jumps from 1.00× your wager to 5.76× your wager.

Why "Hot" and "Cold" Numbers Always Appear in 100 Spins

Under the binomial distribution for M = 100 spins on an American wheel (p = 1/38 ≈ 0.0263), the expected count per pocket is E = 100 / 38 = 2.63 hits with standard deviation σ = √(100 × (1/38) × (37/38)) = 1.60 hits. The probability that any single pocket goes completely unhit over 100 spins is (37/38)100 ≈ 6.95%. Multiply 6.95% across all 38 pockets and a perfectly fair wheel averages 2.64 unhit "cold" numbers in every 100-spin window, while the Poisson upper tail guarantees at least one "hot" pocket with 6 to 8 hits almost every hour. Click Spin 100× in the simulator above and watch the Pearson χ² goodness-of-fit statistic: even when the readerboard shows dramatic 7-hit hot numbers and 0-hit cold numbers, χ² stays below the 95% critical threshold (52.2 for 37 degrees of freedom) 19 times out of 20. Detecting a genuine 1% mechanical pocket bias requires recording 5,000 to 10,000+ spins—far more than any tote board stores in memory.

4. Human Dealers ("Dealer Signature") vs. Automated Air-Jet Wheels

Unlike dice or shuffled cards, a live roulette spin is a classical physics problem involving two decaying angular velocities: the heavy metal rotor spinning in one direction at angular velocity ωw, and the ball spinning along the upper wooden or phenolic ball track in the opposite direction at ωb.

When a human croupier runs a table, standard procedure requires picking up the ball from the exact pocket where it landed on the previous spin and launching it from that same hand position. Early in a shift, a dealer varies rotor push and wrist snap considerably. After an hour of repetitive throws, however, human muscle memory and physical fatigue can cause a croupier to settle into an unconscious, metronomic cadence known in advantage-play literature as a dealer signature:

How Modern Casinos Neutralize Dealer Signatures and Replace Human Croupiers

Modern casino pits engineer out both dealer signatures and visual ballistics ("roulette computer" timing) using four countermeasures:

  1. Automated Pneumatic Air-Jet Wheels: Live-dealer stadiums, electronic table games (ETGs), and online live streams increasingly replace human ball-throwing with automated pneumatic air-jet wheels. Pressurized air jets fire the ball into the track while computer-controlled motors vary both the air-pulse pressure and the rotor's angular acceleration on every spin, eliminating human muscle-memory repetition completely.
  2. Low-Profile Scalloped Pockets & Staggered Deflectors: Older traditional wheels had deep, high-walled brass frets that trapped the ball immediately upon impact. Modern low-profile scalloped pockets cause the ball to skitter across 6 to 15 pockets after hitting the rotor, turning a consistent drop point into near-uniform scatter.
  3. No-More-Bets Timing & Optical Rim Sensors: Optical sensors embedded in the rim measure rotor and ball velocity in real time, flashing the "No More Bets" signal on the dealer's display 4 to 5 revolutions before the ball leaves the upper track—or requiring bets to close before the spin begins.
  4. Frequent Dealer Relief & Ball Swaps: Pit bosses rotate croupiers every 20 to 40 minutes, require dealers to vary rotor speed every few spins, and switch between 18 mm and 21 mm Delrin, Teflon, or synthetic-ivory balls that have different coefficients of restitution against the diamond deflectors.

All Roulette Bets & House Edge Summary

Payouts, true odds and house edge for every roulette bet
Bet Name Category Payout European (0) Edge American (00) Edge Triple-Zero (000) Edge
Straight Up (1 number) Inside 35 : 1 2.70% 5.26% 7.69%
Split (2 numbers) Inside 17 : 1 2.70% 5.26% 7.69%
Street / Trio (3 numbers) Inside 11 : 1 2.70% 5.26% 7.69%
Corner / Square (4 numbers) Inside 8 : 1 2.70% 5.26% 7.69%
Top Line / Basket (0, 00, 1, 2, 3) Inside 6 : 1 — 7.89% 10.26%
Six Line / Double Street (6 numbers) Inside 5 : 1 2.70% 5.26% 7.69%
Dozen (1st 12, 2nd 12, 3rd 12) Outside 2 : 1 2.70% 5.26% 7.69%
Column (2 to 1) Outside 2 : 1 2.70% 5.26% 7.69%
Red / Black (18 numbers) Outside 1 : 1 2.70% 5.26% 7.69%
Even / Odd (18 numbers) Outside 1 : 1 2.70% 5.26% 7.69%
Low 1–18 / High 19–36 (18 numbers) Outside 1 : 1 2.70% 5.26% 7.69%

Frequently asked questions

What is the difference between European, American, and Triple-Zero roulette?
Every roulette wheel has numbers 1 through 36 and pays 35 to 1 on a single number. The difference is the number of green house pockets. European roulette has one zero (0, 37 pockets, 2.70% house edge, or 1.35% on even-money bets with La Partage). American roulette adds double zero (00, 38 pockets, 5.26% house edge). Triple-zero roulette adds a third green pocket (000) for 39 pockets and a 7.69% house edge. Some casinos print their own logo in the third green pocket instead of 000. It is still a third zero, and the math is the same.
Do hot and cold numbers on the electronic roulette board help you win?
No. On a mechanically balanced wheel or an RNG game, each spin is independent with probability 1/37, 1/38, or 1/39 per pocket. Over 100 spins on a 38-pocket wheel, the average pocket hits 2.63 times, but binomial variance guarantees that 2 to 3 pockets will have 0 hits ("cold") and several pockets will have 6 or more hits ("hot") purely by chance. Casinos display the readerboard because it nudges players away from 1:1 outside bets toward high-volatility 35:1 straight-up bets.
Why are the numbers on a roulette wheel out of order compared to the table felt?
The table layout is printed sequentially (1, 2, 3 through 36) so players can locate numbers quickly and place split, street, and corner bets across adjacent rows. The physical wheel head scrambles the sequence so that red and black, odd and even, and high (19–36) and low (1–18) alternate as evenly as possible around the rim, preventing any wheel sector from concentrating one outside bet.
Can human roulette dealers throw the ball into a predictable wheel sector?
Human croupiers pick the ball out of the previous winning pocket and launch it while the rotor spins in the opposite direction. Late in a shift, a tired dealer can fall into an unconscious muscle-memory rhythm ("dealer signature") where rotor speed and ball release speed stay unusually consistent, creating a slight sector distribution bias if bets remain open after the throw. Casinos counter this by calling "no more bets" earlier, rotating dealers frequently, using low-profile scalloped pockets with staggered diamond deflectors, and replacing human dealers with automated air-jet wheels.
Which roulette bet has the worst odds on the table?
On an American double-zero wheel, the five-number Top Line (or Basket) bet covering 0, 00, 1, 2, and 3 pays 6 to 1 on 5 winning pockets out of 38. That gives an expected return of (5 × 6 − 33) / 38 = −3/38, or a 7.89% house edge—even worse than the 7.69% edge on a triple-zero wheel.

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