Tip Bankroll & Money Management

House Edge Explained: Formula and Turnover Examples

Unequal groups of counters on a brass balance scale near a roulette wheel.

Key facts

Expected loss Total stakes × house edge, under the stated game and strategy assumptions.
Turnover All stakes, including money returned and wagered again.
Maximum loss The expected-loss figure is not a cap on what a session can lose.

The edge is an average advantage per stake

House edge expresses the operator’s theoretical advantage as a percentage of money wagered under particular rules. For a simple game with a 96% RTP, the complementary edge is 4%. That does not mean every player loses 4% of every deposit.

The important denominator is turnover: all the wagers made, including money returned and staked again. Our RTP guide explains the relationship from the player’s return side.

Derive it from a roulette wager

Take a hypothetical standard single-zero roulette wheel with 37 equally likely pockets and a straight-number payout of 35 to 1. A $1 wager wins $35 in profit on one pocket and loses $1 on each of the other 36.

Expected profit = (1 ÷ 37 × $35) − (36 ÷ 37 × $1) = −$1 ÷ 37.

The expected loss per $1 wager is about $0.027, giving a house edge of roughly 2.70%. A win also returns the original stake; that returned stake is not extra profit in this calculation. These assumptions matter: a variant with different payouts needs a different calculation.

Estimate exposure without predicting a session

At a 4% theoretical edge, $200 of accumulated stakes corresponds to an $8 expected loss. One actual session might lose the entire starting balance or end ahead. The expected figure is not an upper limit on loss, and it cannot tell you how much money is needed to complete $200 of wagers.

Doubling turnover doubles that theoretical expected-loss figure if the same assumptions continue to apply. A smaller edge does not automatically mean a smaller session loss if you play for much longer or stake more.

Compare both the rate and the amount wagered

Consider two purely hypothetical sessions, each with a fixed edge applying to all stakes:

ExampleTotal stakesEdgeTheoretical expected loss
A$1004%$4
B$3002%$6

Example B has the smaller percentage but the larger expected loss because turnover is three times higher. Actual outcomes can differ sharply from either figure. The comparison does not rank games or recommend a session length; it shows why a percentage without its stake base cannot describe total exposure.

Check rules before comparing games

A different wheel, blackjack payout or side-bet table changes the calculation. Do not attach one percentage to every game sharing a familiar name. Where player decisions affect return, the calculation also needs a stated strategy assumption.

The official table rules illustrate how bets and payouts are specified; they do not establish the configuration of your online table.

A staking progression changes the amount exposed, not the probabilities of an independent spin. Set money and time limits before play, and avoid treating an expected-loss calculation as a gambling budget recommendation.

Have a question about this topic?

Ask the Sherpa to explain the terms or help you explore this topic.

Sources

Authoritative references checked for this tip. Rules vary by market and operator.

Gambling-compliance review status: pending. Do not treat this tip as jurisdiction-specific legal or regulatory advice.