๐ŸงพRoulette Bet Expectation Calculator

Bet type sets the odds and payout

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Choosing the bet type fixes the odds and the payout

A roulette wheel has a fixed number of pockets, so picking a bet type settles both the hit probability and the payout at once. Select the wheel and the bet type and this page fills in the covered pockets and the payout for you, then reports the expected value per spin as net profit on a win times the hit probability plus the loss on a miss times the miss probability. Entering your own probability and reward is not covered here.

The expected loss is shown, not hidden

On the European 37 pocket wheel the house edge is -2.7027% for a single number, for red or black and for a dozen alike; on the American 38 pocket wheel it is -5.2632%. Expected value is a long run average rather than a single outcome, but the sign is negative, so the expected loss grows the longer the play continues. Do not read expected value as projected profit.

Assumptions and what is not covered

Every pocket is assumed equally likely and the spins independent. No draw is simulated: the page only evaluates the formula, so it does not show actual spin results. Bet types outside the list are left out because no verified payout figure is on hand, and rule variants such as la partage and en prison, table minimums and maximums and any tax treatment are not covered either. The probabilities and payouts here are reference values written as of October 2026.

Frequently asked questions

Which bet is the best one to take?

On the European 37 pocket wheel the house edge is the same -2.7027% for a single number, for red or black and for a dozen; on the American 38 pocket wheel every one of them is -5.2632%. Changing the bet type never changes the sign of the expected value, so there is no better pick.

If the expected value is negative, why do some people win?

Expected value is the average of one spin over a very large number of identical bets, not a forecast of a single result. Raise the spin count and you can watch the cumulative expected result grow in proportion to the stake.

Can I type in my own probability and payout?

This page works the other way round: choosing a bet type fixes the covered pockets and the payout for you. Entering your own probability and reward is not covered, and only the six bet types in the list are calculated.