ExSpade /

The Outcome Lab

An Average Is Not an Outcome.

Compare red/black with a single-number bet. Same wheel, same initial stake, same average cost—and different ways to get there.

Expected Net Result · Both Bets~−$27.03

A fixed number of independent spins. No stopping rule, bankroll limit or change of stake.

Red / Black

Pays 1 to 1
Chance of Finishing Ahead—

After completing every spin.

Each bar groups final net results. Select one for its probability.

Median Net Result
—
5th–95th Percentile Net Results
—

Single Number

Pays 35 to 1
Chance of Finishing Ahead—

After completing every spin.

Each bar groups final net results. Select one for its probability.

Median Net Result
—
5th–95th Percentile Net Results
—
Inspect Every Possible Outcome

All outcomes are retained, including tiny probabilities. The chart groups them only to fit the screen. Probabilities below numerical precision are marked <1e-306%.

How to Read This

Each spin has equally likely pockets. Red/black wins on 18 pockets; a single number wins on one. The wheel has 37 or 38 pockets. Winning bets pay 1 to 1 or 35 to 1 respectively; a loss costs the stake.

The distribution uses the binomial formula: P(k wins) = C(n,k) × pᵏ × (1−p)ⁿ⁻ᵏ. Net result = stake × ((payout + 1) × winning spins − total spins). The model accounts for every possible win count; it does not sample random sessions.

The percentile range is descriptive, not a guarantee. Both charts use the same dollar bins and probability scale. The central range spans the two distributions’ 0.1st–99.9th percentiles; the end bars include all remaining tail outcomes. Every outcome remains in the full table.

The model excludes la partage, en prison, the five-number bet, changes of stake and early stopping. It assumes every planned spin is completed, even after substantial losses.

Rules and Probability Source →