GAME MATH LIBRARY

What Are RTP and House Edge? Formula, Difference, and a 99% RTP Example

RTP and house edge are two views of the same long-run expectation. They are not a promise for one session and cannot predict the next round.

Wavelet Intelligence · 2026-09-25

Direct answer

RTP and house edge are two views of the same long-run expectation. They are not a promise for one session and cannot predict the next round.

Quick facts

Core formula
House Edge = 1 − RTP
99% RTP
1% House Edge
Best fit
Fixed-rule expectation models
Does not mean
One session should return RTP

01

What RTP means

RTP, or Return to Player, is the theoretical average share returned over a large number of repeated trials. A fixed-rule game with 99% RTP has a long-run expected return of 0.99 units per unit wagered.

That is an expectation, not a guarantee. A small sample of rounds can finish far above or below 99%.

02

How house edge is calculated

For a fixed-rule expectation model, House Edge = 1 − RTP. A 99% RTP corresponds to a 1% house edge; a 96% RTP corresponds to 4%.

Decision-dependent games or versioned paytables need more context because one headline percentage may not describe every strategy or configuration.

03

RTP, EV and variance are different

Expected value describes the average. Variance describes how widely outcomes spread around that average. Two games can both have 99% RTP and still feel radically different over short samples.

Low-hit, high-multiplier models generally create larger short-run swings, so RTP alone does not describe the full risk shape.

04

Why RTP does not make losses 'due' to reverse

Independent random trials do not compensate a session just because earlier results were below expectation. Long-run averages are statistical properties of many trials, not a debt owed to a particular player or session.

Treating a losing stretch as evidence that a win is now due confuses the law of large numbers with the gambler's fallacy.

EXAMPLE

Simple example

  • Theoretical RTP = 0.99
  • House Edge = 1 − 0.99 = 0.01 = 1%
  • A sample of 100 independent rounds does not have to return exactly 99%; realized results can still deviate materially from expectation.

Frequently asked questions

Does 99% RTP mean 100 COIN must return 99 COIN?

No. It is a long-run expectation, not a guarantee for every 100 units or every session.

Does higher RTP always mean lower volatility?

No. RTP describes the mean. Volatility depends on hit rate and the payout distribution.

Can Blackjack always be summarized as 1 − RTP?

Only after a specific ruleset and decision strategy are defined. If player choices change expectation, one fixed RTP cannot represent every way of playing.