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Roulette Payout Calculator

Roulette payout calculator. American, European, French. Probabilities, expected value, house edge. S

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Why This Statistical Analysis Matters

Why: Statistical calculator for analysis.

How: Enter inputs and compute results.

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ROULETTE ODDSProbabilities, payouts, EV, house edge

Roulette Payout Calculator — American, European, French

Probabilities, payouts, expected value, house edge. La Partage, five-number bet, every bet type.

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Roulette Type

roulette_payout.sh
CALCULATED
$ roulette --type="european" --bet="straight" --amount=10
Win P: 2.70%
Payout if win
$360.00
EV per spin
$-0.27
EV over 100 spins
$-27.03
House edge
2.70%
Expected loss over 100 spins: $27.03
Share:
Roulette Payout Result
European straight
Win P: 2.70%
EV: $-0.27/spinHouse edge: 2.70%Expected loss: $27.03
numbervibe.com/calculators/statistics/roulette-payout-calculator

Calculation Breakdown

COMPUTATION
Win probability
2.70%
numbers covered / total numbers
COMPUTATION
Payout if win
$360.00
bet × (payout + 1) = 10 × 36
RESULT
EV per spin
$-0.27
(payout × P) − (bet × (1−P))
RESULT
House edge
2.70%
(36 − true odds payout) / total numbers
RESULT
EV over N spins
$-27.03
N × EV_per_spin = 100 × -0.27

Bet Payoff by Type (european)

House Edge Comparison

Expected Value by Bet Type

For educational and informational purposes only. Verify with a qualified professional.

Key Takeaways

  • • European roulette (37 numbers) has 2.70% house edge — American (38 numbers) has 5.26%
  • • The five-number bet on American roulette has the worst house edge: 7.89%
  • • French roulette with La Partage reduces house edge on even-money bets to 1.35%
  • • Expected value is always negative — the house always wins in the long run
  • • Play for entertainment only — never gamble with money you cannot afford to lose

Did You Know?

🎰Roulette was invented in France in the 18th century — the name means "little wheel"Source: Britannica
📊American roulette has 38 pockets (0, 00, 1–36); European has 37 (0, 1–36)Source: Wizard of Odds
🇫🇷La Partage: on 0, even-money bets get half back — cuts house edge in halfSource: French rules
⚠️The five-number bet is the only bet with worse odds than standard American house edgeSource: UNLV
💰Straight up pays 35:1 but true odds are 36:1 — that gap is the house edgeSource: Probability
🎲Gambler's Ruin: with finite bankroll vs infinite house, you will eventually go brokeSource: Probability theory

Expert Tips

Choose European over American

Half the house edge — 2.70% vs 5.26%

Avoid the five-number bet

7.89% house edge — worst bet on the table

French La Partage

Even-money bets get half back on 0 — 1.35% edge

Set a loss limit

Never chase losses — Gambler's Ruin is real

Bet Type Comparison

BetNumbersPayoutEuropean PAmerican P
Straight135:12.70%2.63%
Split217:15.41%5.26%
Street311:18.11%7.89%
Corner48:110.81%10.53%
Six Line65:116.22%15.79%
Column/Dozen122:132.43%31.58%
Red/Black181:148.65%47.37%
Five Number56:1—13.16%

Frequently Asked Questions

Why does the house always win?

Payouts are set below true odds. The gap between fair odds and actual payouts is the house edge. Over millions of spins, the law of large numbers guarantees the casino profits.

What is Gambler's Ruin?

With a finite bankroll against an effectively infinite house bankroll, you will eventually go broke with probability 1 if you play long enough.

Which roulette has the best odds?

French roulette with La Partage on even-money bets has 1.35% house edge. European has 2.70%. American has 5.26%.

What is the five-number bet?

American-only bet on 0, 00, 1, 2, 3. Payout 6:1 but true odds ~7.2:1. House edge 7.89% — worst bet on the table.

What is La Partage?

French rule: when 0 hits on even-money bets, you get half your bet back. Cuts house edge from 2.70% to 1.35%.

Is there a winning strategy?

No. Every bet has negative expected value. Martingale and other systems cannot overcome the house edge.

What is the difference between 0 and 00?

American roulette has both 0 and 00 (green). European has only 0. The extra 00 increases the house edge.

Can I use this for online roulette?

Yes. The math is identical. Ensure the game uses a certified RNG.

By the Numbers

2.70%
European house edge
5.26%
American house edge
1.35%
French (La Partage)
7.89%
Five-number bet

Responsible Gambling: This calculator is for educational purposes. Gambling can be addictive. Never gamble with money you cannot afford to lose. Play for entertainment only.

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