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 · 2026-09-25Direct 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 = 0.99House 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.