What is RTP, and what does it mean for your session?
RTP stands for return to player: the percentage of total stakes that a game's mathematical model returns as prizes over the long run. Total stakes include money you win and stake again. A 96.50% RTP describes an average within that model; your balance after a session can be very different.
The useful distinction is between a designed return and a recorded return. The first describes the game under specified rules and settings. The second divides the prizes actually awarded in a chosen sample by the stakes placed in that same sample. Once you keep those two figures separate, RTP becomes much easier to use.

Count every stake, including money you win and reuse
A deposit adds money to your balance. Turnover adds up the stakes you place. The same money can help fund several stakes as prizes return to the balance, so turnover can exceed the amount deposited.
Deposit: the money added to fund the balance.
Cumulative stakes, or turnover: every stake in the period being counted, including stakes funded by earlier prizes.
Gross prizes: the total amount returned by those bets, before subtracting the stakes.
For a recorded sample, the calculation is:
Sample return (%) = total gross prizes ÷ cumulative stakes × 100.
Use the same units and the same set of completed bets for both totals. The denominator must be greater than zero. Mixing one game's prizes with another game's stakes, or dividing prizes by a deposit, answers a different question.
Gross return also differs from profit. If a winning bet returns your stake as well as a profit, both amounts belong in its gross return. To find the net result, subtract total stakes from total gross prizes. A withdrawn amount or the balance still in the account does not replace either total.
A 20-unit deposit can produce 50 units of turnover
This fictional ledger uses generic units and chosen prizes to show the bookkeeping. It is not a record of play on a real game. Start with 20 units and stake 10 in each round; the prize is added after the stake has been deducted.
Fictional round 1
- Stake
- 10
- Gross prize
- 8
- Balance afterwards
- 18
- Cumulative stakes
- 10
- Cumulative prizes
- 8
Fictional round 2
- Stake
- 10
- Gross prize
- 15
- Balance afterwards
- 23
- Cumulative stakes
- 20
- Cumulative prizes
- 23
Fictional round 3
- Stake
- 10
- Gross prize
- 0
- Balance afterwards
- 13
- Cumulative stakes
- 30
- Cumulative prizes
- 23
Fictional round 4
- Stake
- 10
- Gross prize
- 7
- Balance afterwards
- 10
- Cumulative stakes
- 40
- Cumulative prizes
- 30
Fictional round 5
- Stake
- 10
- Gross prize
- 12
- Balance afterwards
- 12
- Cumulative stakes
- 50
- Cumulative prizes
- 42
The first round leaves 18 units: 20 minus the 10-unit stake, plus the 8-unit prize. The next 10-unit stake comes out of that balance. It counts as another full stake even though no new deposit was made. Every listed round has enough money in the balance to place its stake.
The complete sample has 50 units of stakes and 42 units of gross prizes. Its return is 42 ÷ 50 × 100 = 84%. Its net result is 42 minus 50 = -8 units, leaving a balance of 12.
Three percentages can describe this ledger, each with its own denominator:
Sample return
42 ÷ 50 × 100 = 84% of stakes returned as prizes.
Balance retained
12 ÷ 20 × 100 = 60% of the deposit left.
Balance change
-8 ÷ 20 × 100 = -40% relative to the deposit.
Calling the 60% balance figure RTP would lose the distinction between funding and turnover. The balance result is useful, but it measures something else.
What 96.50% lets you calculate
For a fixed amount of completed turnover under one applicable model, multiply stakes by RTP written as a decimal to calculate the model's mean gross return. Subtract the stakes to calculate the mean net result.
Mean gross return
Turnover × RTP as a decimal
Mean net result
Turnover × (RTP as a decimal minus 1)
Mean loss
Turnover × (1 minus RTP as a decimal)
For example, the Gates of Olympus 1000 normal-mode rule set described below gives 96.50%. If that model applies to a hypothetical 1,000 units of completed normal-mode stakes, the mean gross return is 1,000 × 0.965 = 965 units. The mean net result is -35 units, or a mean loss of 35 units.
The remaining share, 100% minus 96.50% = 3.50%, is the model's house edge. It describes the same expected loss relative to stakes. It does not tell you how much a particular deposit will lose.
The word completed matters. A starting balance may run out before the intended turnover is reached. The arithmetic assumes those stakes have been placed under the specified model; it does not calculate how long a deposit will last or promise that a 1,000-unit deposit returns 965 units.
A short result cannot tell you the game's designed RTP
The fictional ledger's 84% is a sample result. A theoretical percentage belongs to a mathematical model. Measuring a short stretch of prizes and stakes does not identify that model, and a different result in the next stretch would not change the meaning of either percentage.
Sample return can exceed 100% when gross prizes exceed stakes. At the end of round two in the fictional ledger, prizes total 23 units against 20 units staked: 23 ÷ 20 × 100 = 115%. That describes those two chosen outcomes, without assigning the fictional game a 115% theoretical RTP.
How far a sample can vary depends on the amount of play and the variability of its prizes. Rare large awards can have a large effect on a small sample. Increasing the sample changes the statistical precision, but RTP supplies no universal spin count that guarantees a particular result.
You can calculate a past sample from complete prize and stake totals. You cannot use that ratio alone to produce a payout forecast for the next spin, prove that a game owes a recovery, or identify its underlying probabilities. A displayed short-period percentage and a rulebook's theoretical percentage need different labels.
Match the exact title and configuration

The original Big Bass Bonanza gives a concrete reason to look beyond a supplier listing. Pragmatic Play's product listing gives 96.71% RTP. An English in-game rulebook for the original title gives 90.63%.
Pragmatic Play product listing
96.71%
English rulebook with printed £ amounts
90.63%
The £ symbol identifies the amounts printed in that rulebook; it does not establish a currency code for this example. These are figures for the original game, which must be kept separate from Big Bass Bonanza 1000 and other editions.
The listing does not establish which setting a particular casino serves. Neither does the lower rulebook figure establish that every version uses it. Match the exact edition and the percentage in the rules of the game you open before using a number in a comparison or calculation.
Read the original Big Bass Bonanza review for the game's mechanics and the distinction between its catalogue and native rulebook figures.
A mode changes the calculation as well as the button
The Gates of Olympus 1000 CV native help gives separate normal, Ante Bet and Buy Free Spins figures. Its amounts carry the printed symbol R, without a stated currency code. The comparison belongs to that rule set; it is not one percentage for every Gates edition or casino setting.
Normal
- Theoretical RTP
- 96.50%
- Charge and condition
- Bet multiplier 20; feature purchase can be available
Ante Bet
- Theoretical RTP
- 96.50%
- Charge and condition
- Bet multiplier 25; Buy Free Spins disabled
Buy Free Spins
- Theoretical RTP
- 96.49%
- Charge and condition
- Purchase costs 100 times the current normal total bet
Ante Bet: the same percentage against a larger stake
Keeping coin value unchanged, the multiplier rises from 20 to 25. The cost ratio is 25 ÷ 20 = 1.25, so the Ante stake costs 25% more. The rules describe more scatter symbols and double the chance of triggering free spins naturally. That relative claim does not give an absolute trigger frequency.
Normal and Ante both show 96.50% RTP in this rule set. Equal mean return does not make their payout patterns identical, and the increased cost does not establish higher profit. Compare the percentage against the full stake for the selected mode.
Buy Free Spins: count the whole purchase cost
At a hypothetical normal base bet of 1 unit, the documented 100× purchase costs 100 units. Applying the purchase model's 96.49% to that cost gives a mean gross return of 100 × 0.9649 = 96.49 units, and a mean loss of 3.51 units.
The 100-unit charge is the turnover for this purchase cycle. Using the 1-unit base bet as the denominator would misstate the return. These are model calculations for a hypothetical purchase, without a promised feature award or a casino bonus attached to it.
Use the RTP lookup guide to match a game's own help screen to its edition and selected mode.
The same RTP can produce very different prize patterns
RTP, hit frequency, volatility and maximum win describe different parts of a game:
RTP describes the mean gross return relative to stakes under the specified model.
Hit frequency describes how often a positive prize occurs. A positive prize can still be smaller than the stake, so a hit is not automatically a profitable round.
Volatility describes variation in prizes. In a numerical model, variance and its square root, standard deviation, describe that spread.
Maximum win gives an upper award limit. It does not give the probability of reaching that limit.
Two fictional distributions make the difference visible. Each uses a 1-unit stake. Neither describes a real slot.
A
- Gross-prize outcomes and probabilities
- 96 units with 1% probability; 0 with 99% probability
- Mean gross return
- 0.96 unit
- Chance of a positive prize
- 1%
- Maximum prize
- 96 units
B
- Gross-prize outcomes and probabilities
- 2 units with 48% probability; 0 with 52% probability
- Mean gross return
- 0.96 unit
- Chance of a positive prize
- 48%
- Maximum prize
- 2 units
Both have 96% RTP: 96 × 0.01 = 0.96, and 2 × 0.48 = 0.96. Model A gets that mean from a larger, rarer prize. Model B gets it from a smaller, more frequent prize. A single percentage cannot recover those two different distributions.
In these fictional models, every positive prize is also larger than the stake. That coincidence is part of the example, not a general definition of a hit.
The variance calculation
For these finite distributions, variance is the mean of the squared gross prize minus the square of its mean:
- Model A: (96² × 0.01) minus 0.96² = 92.16 minus 0.9216 = 91.2384 units squared.
- Model B: (2² × 0.48) minus 0.96² = 1.92 minus 0.9216 = 0.9984 units squared.
The different spreads accompany the same 0.96-unit mean. These artificial values provide no volatility measurement or winning frequency for Big Bass Bonanza, Gates of Olympus 1000 or any other actual game.
For a real limit, the Gates of Olympus 1000 rule set above caps a round at 15,000× bet. Reaching the cap ends the round, with the award limited to it and remaining features forfeited. The cap alone supplies no odds of reaching it.
Compare the mean with the separate prize pattern when choosing a game. The slot volatility explanation develops that distinction without treating a high maximum as a payout forecast.
Roulette: 97.3% return and a 2.70% chance can coexist
BGaming European Roulette's rules describe 37 pockets, numbered 1 to 36 plus zero, and publish 97.3% RTP. A straight bet covers one number and pays 35:1 in profit, with the stake returned on a win.
Assume an ideal wheel in which all 37 pockets are equally likely. A 1-unit straight bet then has a 1/37 chance of hitting its selected number, approximately 2.7027%. A win returns 36 units gross: 35 units of profit plus the 1-unit stake. A loss returns zero.
The mean gross return is (1/37 × 36) + (36/37 × 0) = 36/37 of the stake, approximately 97.2973%, which rounds to the published 97.3%. The target probability and the return percentage differ because the payout size enters the return calculation.
Equal pocket probabilities are the assumption of this mathematical example. The calculation is not a measurement of a particular served wheel. It shows why reading 97.3% as the chance of hitting your number would confuse two different quantities.
Blackjack's optimal return depends on the decisions
An RTP figure can include a player-decision assumption. Evolution's Classic Blackjack family in Game Rules v2.7.4 lists an optimal theoretical payout of 99.29% for the main game. Its identifying rules include eight standard 52-card decks, a dealer who stands on soft 17, a 3:2 natural blackjack payout, and no doubling after a split.
That figure describes optimal play under those rules. It does not describe arbitrary decisions or every game called blackjack. A different rule set needs its own model.
Main Blackjack
- Published theoretical payout
- 99.29%
- Scope
- Optimal-play model
Cash Out
- Published theoretical payout
- 96.80%
- Scope
- Listed separately; excluded from the game's optimal strategy
Perfect Pairs
- Published theoretical payout
- 95.90%
- Scope
- Separate side wager
21+3
- Published theoretical payout
- 96.30%
- Scope
- Separate side wager
Cash Out ends the hand for a return that varies with the player's total and the dealer's upcard. The rules explicitly exclude it from the optimal strategy, so choosing it cannot simply inherit the main game's 99.29% figure.
The side wagers also have their own returns. Adding Perfect Pairs or 21+3 does not give all your stakes the main-hand percentage. An unweighted average of those percentages would ignore how much you staked on each wager.
The optimal number alone is not a hit-or-stand chart. Use the Blackjack rules guide for the named game's actions, payouts and rule differences; do not apply its percentage to another variant by name alone.
Find the percentage for the game you open
Keep the definition connected to the setting you intend to use:
- Match the full title and edition. The original Big Bass Bonanza and Big Bass Bonanza 1000 need separate rules.
- Open that game's native help or Information pages. In the Gates of Olympus 1000 help example above, the i control opens Information and the left/right arrows browse its pages.
- Read the return for the selected mode and its full stake or purchase cost. A normal-mode percentage does not establish the purchase figure.
If the percentage is absent, another edition's figure or a general supplier listing cannot establish the current setting. Record the title, mode and cost you are comparing; a short run of prizes does not supply the missing theoretical model.
The casino game guides provide further explanations of rules and payouts. For RTP, the next practical task is to match the number to the exact game rather than judge it from a remaining deposit balance.
Questions and answers
Does 96.50% RTP mean I get 96.50% of my deposit back?
No. RTP describes a long-run model average relative to total stakes, including money won and staked again. A deposit and cumulative stakes are different amounts. The percentage does not predict your remaining session balance or promise a return on your deposit.
How do I calculate the return from a past session?
Divide total gross prizes by cumulative stakes for the same completed bets and multiply by 100. The stake total must be greater than zero. In the fictional example, 42 units of prizes from 50 units staked give an 84% sample return and a net loss of 8 units.
Does buying free spins use the normal-mode RTP?
In the Gates of Olympus 1000 CV native help described here, normal mode has 96.50% RTP and Buy Free Spins has 96.49%. The purchase costs 100 times the current normal total bet; count the whole purchase cost as turnover. These figures belong to that rule set and do not establish every edition or casino setting.

