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Roulette Payout Calculator

Choose a roulette bet type, stake, and wheel to view payouts, win probabilities, and expected returns. Great for evaluating casino strategies.

Used to project total expected profit/loss.

Wheel Outcomes

37

House edge ≈ 2.70%

Win Probability

2.70%

Chance of hitting the bet

Payout

$350.00

Net profit if you win (excluding stake)

Expected Return per Bet

-$0.27

Average profit (negative implies loss)

Expected Total (Projected)

-$27.03

Over 100 bets of $10.00

Standard deviation per bet: $58.38 • Standard deviation total: $583.78. Roulette is a negative expectation game: house edge remains negative regardless of strategy.

How to Use This Calculator

  1. Select a bet type to see its payout odds.
  2. Set your stake and wheel type (European or American).
  3. Optionally specify the number of bets to project total expected outcomes.
  4. Review probabilities, payouts, expected returns, and volatility to understand risk.

Formula

Expected Return = P(win) × (payout + 1) − 1

Expected Profit per Bet = Stake × Expected Return

House Edge = 1 − (P(win) × (payout + 1))

Roulette payouts are designed so expected return is negative. European wheels have a 2.70% house edge; American wheels have 5.26% due to the double zero.

Full Description

Roulette is a classic example of a house-edge game. While certain bet types appear to offer better odds, all standard bets have negative expectation. This calculator reveals how payouts relate to probabilities and demonstrates the cumulative effect of the house edge over many rounds.

Use this tool to compare bet types, understand risk-versus-reward, and teach concepts such as expected value and variance in probability courses.

Frequently Asked Questions

Why is expected value negative?

The casino sets payouts slightly below fair odds, creating a negative expectation (house edge). Over time, the player is expected to lose.

How does the wheel type change things?

American wheels add a double zero, increasing total outcomes to 38 and doubling the house edge relative to single-zero European wheels.

Can betting systems beat roulette?

No. Betting systems cannot overcome the house edge; they may change variance but not expected value.

What about en prison/la partage rules?

These rules reduce the house edge on even-money bets. Modify payout assumptions accordingly to model those variants.