Game maths · 6 minute read

What is house edge?

A plain-language explanation of expected value, theoretical return, and the limits of averages.

Important: This is an educational explanation of probability, not a recommendation to gamble or a prediction of results. Rules, game design and regulatory requirements vary by product and jurisdiction.

House edge, in simple terms

House edge is a mathematical description of the game's theoretical advantage to the operator over a large number of plays, under specified rules and assumptions. It is not a fee charged separately on every bet, and it does not mean the operator wins every round. Individual outcomes vary, sometimes substantially.

How it relates to RTP

For a game whose published theoretical return-to-player (RTP) and house edge are defined on the same basis, the figures are often complements: a theoretical RTP of 96% corresponds to a 4% house edge. This is a simplified illustration, not a claim about any particular game or operator. Check the game rules and the precise definition used by the provider or regulator.

RTP describes theoretical return across a very large number of plays; house edge describes the corresponding theoretical advantage on the same basis. Neither number tells a person what will happen in a short session, and neither guarantees a particular outcome.

A hypothetical arithmetic example

Suppose a hypothetical game has a 4% theoretical house edge and a person makes 1,000 units of qualifying wagers under the assumptions used to calculate that edge. The simple expected-value arithmetic would be 40 units of theoretical loss over the long run. This is not a forecast for one person, one session, or a fixed number of plays. Actual results can be higher or lower, and the assumptions may not capture every feature of a real game.

What the number does not tell you

  • Short-term results: a theoretical average cannot predict the outcome of the next spin, hand, or session.
  • Volatility: house edge alone does not describe how widely outcomes may vary.
  • Bonus conditions: wagering requirements, contribution rates, restrictions and expiry rules can change the practical conditions around an offer.
  • Legality or trustworthiness: a published percentage does not establish that an operator is licensed for your location, that the game has been independently tested, or that a withdrawal will be processed correctly.
  • Personal affordability: a mathematical expectation is not a safe budget or a reason to risk money needed for essentials.

What to verify in a published claim

Look for the exact game and version, the theoretical basis of the figure, the applicable rules, and whether an independent testing or regulatory source supports the claim. Avoid treating a marketing statement as proof. If a figure is not traceable to reliable documentation, label it unverified rather than repeating it as fact.

Related learning

Read our guides to return to player (RTP), RTP versus volatility, and checking a casino licence. They cover related concepts but answer different questions.

Sources and limitations

For jurisdiction-specific rules, consult the relevant regulator's official material and the game's own published rules. A useful starting point for Great Britain is the UK Gambling Commission; it is not a universal regulator and its materials should not be treated as legal advice for other countries. This guide does not verify any particular operator, product or RTP claim.

Editorial note: This page explains general mathematical concepts. It is not a casino review, a recommendation, or a statement that any operator is authorised in any market.

For a related explanation of independent events and why streaks do not predict the next result, read our guide to random outcomes and past-result patterns.