The casino house edge is the casino's mathematical advantage: It describes the share of your wagers you lose on average over the long run. With a 4% house edge, €1,000 in total wagers produces an expected loss of €40 - not a guaranteed loss. A single session can differ significantly and may even end with a profit.
Total wagers are not the same as your deposit: If you deposit €50 and repeatedly wager your balance, you could end up placing €1,000 in total bets. We explain how house edge and return to player (RTP) relate, which rules make a difference, and how session length and bonus terms affect your total wagering.
Quick explanation: House edge is the theoretical share of each wager the casino keeps over the long run. At 2.7% (European roulette), that is €2.70 per €100 wagered. It is the counterpart to RTP: 100% minus RTP.
House edge describes the long-term expected value
The casino house edge is your mathematically expected net loss, expressed as a percentage of the amount wagered. With a 4% house edge, players lose an average of €4 per €100 wagered over the long run. The casino does not have to win every round for this to happen: Individual rounds and entire sessions can end with a profit for you.
Win probability and payouts determine the edge
House edge comes from the possible outcomes, their probabilities, and their respective payouts. Imagine a game with two equally likely outcomes: You bet €1 and receive a total of €1.92 if you win, including your stake. Otherwise, you get nothing.
The average return is therefore 0.5 × €1.92 = €0.96 per euro wagered. The €0.04 difference represents a 4% house edge. This figure is neither a fee deducted separately each round nor a fixed loss limit: In a single round of this example, you either lose €1 or make a net profit of €0.92.
Your deposit and total wagers are not the same
If you deposit €50 and then play 100 rounds at €2 each, you wager €200 in total. This is possible if you wager payouts again and have enough balance to complete the rounds. With a constant 4% house edge, the expected loss is:
€200 in total wagers × 0.04 = €8 expected loss.
The €8 relates to your total wagers, not your deposit. Your actual loss may be higher or lower; a profit is also possible. Even many rounds do not guarantee a particular personal result, so €8 is not a reliable loss limit for your session.
You can convert between house edge and RTP
An RTP of 96% corresponds to a house edge of 4% - provided both figures refer to the same game variant and calculation basis. RTP stands for “Return to Player” and describes the theoretical share of wagers returned to players as payouts over the long run. Payouts are not net profits: A returned stake counts too.
How to calculate your expected loss
1Check the RTP version
2Calculate total wagers
3Multiply by the house edge
The formula for house edge and expected loss
The conversion is: House edge = 100% − RTP. With 96% RTP, the casino theoretically keeps 4% of the total amount wagered. This is a long-term expected value, not a fixed loss rate for your individual session.
Calculate expected loss using total wagers × house edge as a decimal. For 4%, use 0.04. What matters is the amount wagered across all rounds, not your deposit: Betting payouts again adds to your total wagers.
For games with additional bets or decisions, check the calculation basis. If one percentage refers only to the initial bet while another refers to all bets, including increases, they are not directly comparable. Different rules or playing strategies can also affect the calculation.
A sample calculation in three steps
For a session of 500 rounds at €0.50 each, follow these steps:
- Check the RTP of the specific game version. In our example, it is 96%. This gives 100% − 96% = 4% house edge.
- Calculate total wagers. 500 rounds × €0.50 equals €250 wagered, regardless of how much you originally deposited.
- Multiply total wagers by the house edge. €250 × 0.04 gives €10 in expected losses.
So 96% RTP does not mean you will get exactly €96 back from a €100 deposit. Your actual result can be significantly higher or lower; losing the entire amount is also possible. A fixed loss limit caps the budget you put at risk, but it changes neither RTP nor house edge.
Game rules make the difference in house edge
Even one additional zero changes the casino house edge significantly: For ordinary standard bets, it rises from about 2.70% in European roulette to 5.26% in American roulette. The specific rules and payouts matter - not just the game's name.
Roulette shows the impact of individual rules
European roulette has 37 pockets; American roulette with a zero and double zero has 38. Yet an ordinary straight-up bet on a single number pays 35:1 in both variants: If you win, you receive your stake back in addition to your winnings.
The table shows rounded mathematical figures under the stated conditions. They describe long-term expected values, not a guaranteed return for your round.
| Game variant | Theoretical RTP | House edge | Applicable condition |
|---|---|---|---|
| European roulette with a single zero | 97.30% | 2.70% | Ordinary standard bets without special rules |
| American roulette with a zero and double zero | 94.74% | 5.26% | Ordinary standard bets excluding the five-number bet |
| Single-zero roulette with La Partage | 98.65% | 1.35% | Only even-money bets covered by this special rule |
| Example slot with a stated 96% RTP | 96.00% | 4.00% | Calculation example for this assumed game version, not a general slot figure |
La Partage applies to even-money bets such as red/black, even/odd, or 1-18/19-36. If the ball lands on zero, you lose only half your stake: From €10, you get €5 back instead of losing the full amount.
With €1,000 in total wagers, the theoretical loss is therefore about €13.51 rather than €27.03 without the special rule, calculated using unrounded probabilities. This refers to the sum of all bets, not your deposit - the same €50 can generate significantly more wagering when bet repeatedly.
| Game | Typical house edge |
|---|---|
| Blackjack with basic strategy | Below 1% |
| Crypto originals such as Crash or Dice | Often around 1%; 1% at Stake and BC.Game according to the analysis |
| European roulette | 2.7% |
| Slots | Usually 3-6%, depending on the RTP version |
| American roulette | 5.26% |
Tip: If you play roulette, choose the European or French variant. The additional double zero in American roulette nearly doubles the house edge - with the same gameplay experience.
The specific variant matters for slots and blackjack
For slots, check the RTP of the version actually offered in the game information. You cannot determine house edge from the game's name, design, or jackpot size; the 96% in the table is only an example.
Blackjack has no universal percentage: Rules, payouts, and your playing decisions affect expected value. A blackjack payout of 3:2, for example, is more favorable than 6:5; on a €10 bet, that means €15 rather than €12 in winnings, plus your returned stake.
Assess blackjack side bets separately because they have their own winning outcomes and paytables. A more favorable main game does not automatically make a side bet favorable - and even a low house edge does not protect your gambling budget from losses.
Variance explains wins despite a negative expected value
You can end a session with a profit even though the casino has a mathematical advantage. A 4% house edge does not mean you lose exactly €4 on €100 in total wagers: That amount is the expected loss, not your session's predetermined result.
Expected value is not your session result
- Expected valueHouse edge describes your long-term average loss.
VolatilityThe same RTP can come with different payout patterns.
Independent roundsPrevious results do not make your next win due.
Set limitsSet a loss limit and a fixed time for a break before you play.
Volatility is different from house edge
House edge describes the long-term expected value; volatility describes the size of fluctuations in results. Two slots can each have 96% RTP and therefore a 4% house edge while distributing payouts differently.
| Feature | Slot A | Slot B |
|---|---|---|
| RTP | 96% | 96% |
| House edge | 4% | 4% |
| Illustrative payout pattern | More frequent smaller amounts | Less frequent larger amounts |
| Volatility in this example | Lower | Higher |
For both slots, 1,000 rounds at €1 each produce €1,000 in total wagers and an expected loss of €40. Your actual result can be significantly higher or lower. In this example, Slot B may have longer stretches without a payout, so the same RTP tells you little about how your session will unfold.
Even a low house edge does not rule out large losses. Whether you bet €0.20 or €5 per round, how volatile the game is, and how many rounds you play all affect your personal risk.
Previous results do not make a win due
After red appears five times, the probability of black in European roulette is still 18/37, or about 48.65%. With independent rounds, the previous sequence of colors does not change the next spin. Black is therefore not “overdue.”
A losing streak is neither a sign of an upcoming win nor, by itself, evidence of manipulation. Do not increase your bet expecting losses to even out soon. Instead, set a loss limit and a fixed time for a break before you play.
Betting systems do not change the house edge
A betting system does not eliminate the casino house edge as long as probabilities and payouts remain unchanged. Whether you bet more after a loss, reduce your bet after a win, or always wager €5, the mathematical disadvantage per euro wagered stays the same. However, the betting sequence changes how much money you risk overall and how much your result can fluctuate.
Warning: No betting system - Martingale, Fibonacci, or D'Alembert - changes the house edge. It only shifts when losses occur and how severe they are.
Doubling increases stakes, not your chance of winning
Martingale shows the risk of increasing bets after losses: Bets of €1, €2, €4, €8, €16, and €32 add up to €63 after six losses. The next planned bet would already be €64 - more than all previous losses combined. Previous losses do not increase the chance of winning an independent round.
With a starting budget of €100, you would have only €37 left after those six losses. You could not continue the sequence; a table limit below €64 could also prevent the next bet. A limited budget and table limits turn this supposed recovery strategy into a substantial risk of loss.
Playing decisions, by contrast, are different from betting systems. In blackjack, for example, choosing to hit or stand can affect expected value, depending on the cards and rules. Simply doubling your next bet does not improve the quality of that decision.
Wagering less reduces expected losses
With a constant 4% house edge, the comparison is:
| Total wagers | Expected loss |
|---|---|
| €500 | €20 |
| €1,000 | €40 |
This refers to the sum of all bets, including winnings wagered again, not just your deposit. Fewer rounds or smaller bets reduce expected losses but do not guarantee a particular session result. Setting money and time limits in advance helps you limit your gambling rather than chase losses with larger bets.
Bonus terms create additional wagering
A bonus can require you to wager significantly more than your deposit might suggest. The credited amount is not the only thing that matters: With a wagering multiplier of 35, it makes a big difference whether the calculation applies only to the bonus or to your deposit as well.
Convert wagering requirements into euros
For example, you deposit €50 and receive a €50 bonus. The terms require you to wager the deposit and bonus 35 times.
| Calculation step | Result |
|---|---|
| Deposit plus bonus | €50 + €50 = €100 |
| Required total wagers | €100 × 35 = €3,500 |
| Expected gambling loss with a constant 4% house edge | €3,500 × 0.04 = €140 |
The €3,500 is the sum of all required bets, not an additional deposit. Payouts from individual rounds can be wagered again and contribute toward the requirement.
The €140 is a statistical expected value for a fully wagered €3,500, not a prediction of your result. Your balance may run out before then; significantly lower or higher losses and profits are also possible. The €50 bonus is therefore not a guaranteed financial benefit, especially since additional terms can change this model calculation.
Check game contributions and bet limits too
First, check the amount the wagering multiplier applies to and each game's contribution rate. If an eligible game contributes only 10%, for example, a €10 bet adds just €1 toward the wagering requirement. Meeting the same requirement would therefore require more actual wagering.
Also check eligible games, the deadline, the maximum bet, and any withdrawal caps. We explain the details in our guide to casino bonus wagering requirements. Set a fixed loss limit: An approaching bonus deadline is no reason to deposit more or play longer than planned.
Crypto payments do not change the game math
With identical rules and payouts, the house edge stays the same whether you deposit Bitcoin or euros. A game with a 3% house edge produces a theoretical expected loss of €30 on €1,000 in total wagers - even if you bet the equivalent amount in Bitcoin. Your actual result can differ significantly.
Separate game math from crypto risks
Payment currencyWith the same rules and payouts, your house edge remains unchanged.
Provably FairA verifiable result does not eliminate the house edge.- Additional costsNetwork and exchange fees place an additional burden on your budget.
Exchange rate riskYour balance's euro value can fall independently of your gambling result.
Provably Fair does not turn a game into a favorable bet either. The method can let you verify how a game result was generated using cryptographic proofs. Whether the payout rules produce a negative expected value is a separate question: A verifiable result can still belong to a game with a 3% house edge.
Consider house edge, fees, and exchange rate risk separately
House edge concerns the game rules; network fees, possible exchange costs, and exchange rate fluctuations affect your budget separately. Keep these items separate so you do not automatically classify a drop in euro value as a gambling loss. Also check which currency your balance is actually held in.
If you hold Bitcoin worth €200 and the Bitcoin-euro exchange rate falls by 10%, your unchanged coin balance is worth €180. The €20 difference arises independently of your gambling result. Network or exchange fees can further reduce the available amount, but they do not change the mathematical house edge.
Set your budget and breaks before playing
Set a loss budget and a time limit before you start, such as a maximum loss of €30 and 45 minutes of play. End the session as soon as either limit is reached, and do not increase your deposits to recover losses.
Take scheduled breaks; our guide to limits and gambling breaks helps you plan. Gambling is not income: Money for rent, bills, or savings does not belong in your gambling budget.
Frequently asked questions
What does house edge mean in a casino?
House edge is the theoretical share of your wagers that the casino keeps on average over the long run. With a 3% house edge, €1,000 in total wagers produces an expected loss of €30. This refers to the sum of all bets, not just your deposit. Your actual result can differ significantly: House edge is a statistical expected value, not a fixed fee charged each round.
How do you calculate house edge from RTP?
Subtract the RTP from 100% to calculate the house edge. A slot with 96% RTP therefore has a 4% house edge. With €500 in total wagers, that produces a theoretical expected loss of €20. RTP applies over a very large number of rounds. It does not promise that you will get €96 back from a €100 deposit.
Which casino games have a low house edge?
Blackjack can have a house edge below 1% with favorable rules and correctly applied basic strategy. European roulette with a single zero has a house edge of about 2.70%, compared with about 5.26% for American roulette with a zero and double zero. The specific rules and the bet you choose are always what matter. A lower house edge reduces expected losses but does not prevent them.
Why can I win despite the house edge?
You can win despite the house edge because individual rounds and short sessions depend heavily on chance. In European roulette, for example, a bet on red wins with a probability of 18 out of 37, even though the casino has a long-term advantage. A winning streak therefore does not contradict the math. Set a loss limit and a fixed session length before you play; playing longer does not guarantee that you will recover previous losses.
How does paying with Bitcoin affect the house edge?
Paying with Bitcoin does not change a casino game's mathematical house edge as long as its rules and paytable remain the same. A game with a 4% house edge keeps that edge regardless of whether you play with Bitcoin or euros. Network fees and exchange rate fluctuations can also affect your result in euros. If Bitcoin's price rises, that is not a gambling win; if it falls, you may incur an exchange rate loss in addition to gambling losses.
