HOW CASINOS CALCULATE HOUSE EDGE

Every casino game has a built-in mathematical advantage that guarantees the house profits over time - this is the house edge, and it operates independently of luck, strategy or how long you play. Understanding house edge explained helps you choose better games, manage your bankroll more effectively and set realistic expectations for every session.

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🎰 What is house edge

The house edge is the percentage of each bet the casino expects to retain as profit over the long run. A 5% house edge means the casino expects to keep $5 from every $100 wagered - not on any single bet, but as a statistical average across thousands of bets. Casino house edge explained in practical terms: it is the price of entertainment, built into every game's mathematical structure before a single card is dealt or reel is spun.

Term

Meaning

Example

House edge

% of each bet the casino keeps long-term

5% edge = $5 kept per $100 wagered

RTP

% returned to players long-term

95% RTP = $95 returned per $100 wagered

True odds

Actual probability of winning

18/38 chance on red in American roulette

Payout ratio

What the casino actually pays on a win

1:1 on red regardless of true odds

📊 House edge vs RTP - what's the difference

Slot RTP and house edge are two sides of the same equation: House Edge + RTP = 100%. If a slot has an RTP of 96%, the house edge is 4%. If a blackjack game returns 99.5% to optimal strategy players, the house edge is 0.5%. The two figures describe identical mathematical reality from opposite perspectives - RTP from the player's viewpoint, house edge from the casino's.

Reading RTP in slots: the figure is a certified long-term average verified by independent testing laboratories (GLI, BMM, iTech Labs). A slot with 96% RTP does not return $96 on every $100 spin - it returns $96 per $100 wagered across millions of spins. Individual sessions can wildly deviate in either direction.

RTP

House edge

What it means for $100 wagered

99,50%

0,50%

Expected loss: $0.50

97,00%

3,00%

Expected loss: $3.00

96,00%

4,00%

Expected loss: $4.00

94,00%

6,00%

Expected loss: $6.00

90,00%

10,00%

Expected loss: $10.00

🧮 The math behind house edge

Casino math is built on a single principle: the casino pays less than true odds on every winning bet. The gap between what it should pay and what it actually pays is the house edge - expressed as a percentage of the original wager.

True odds vs casino payout

The simplest illustration: a coin flip has true odds of 50/50 - a fair payout on a $1 bet would be $1 profit. If a casino paid $0.90 profit on every winning coin flip bet, the house edge would be 5% ($0.05 kept per $1.00 at true odds). The casino doesn't alter the probability of outcomes - it alters what it pays relative to those outcomes.

How to calculate house edge step by step

How to calculate house edge uses expected value as its foundation. Expected Value (EV) = (Probability of Win × Payout) + (Probability of Loss × Loss Amount). House edge = -EV / Bet Size × 100%.

House edge calculation example on a simple bet: Probability of winning = 18/38 (0.4737). Payout = $1 on a $1 bet. Probability of losing = 20/38 (0.5263). Loss = -$1.

EV = (0.4737 × $1) + (0.5263 × -$1) = $0.4737 - $0.5263 = -$0.0526.

House edge = $0.0526 / $1.00 × 100% = 5.26%.

Roulette calculation example

How to calculate house edge roulette demonstrates the formula most clearly because the math is transparent. American Roulette has 38 pockets (1–36, 0, 00). A bet on red covers 18 pockets. True probability of winning: 18/38 = 47.37%. Casino payout: 1:1 (even money). The casino pays as if the odds were 50/50 - but they're not.

European Roulette removes one zero, leaving 37 pockets. Red still covers 18 pockets. True probability: 18/37 = 48.65%. The same 1:1 payout now carries a house edge of 2.70% - nearly half of American roulette's edge from a single pocket difference.

Roulette type

Pockets

Winning odds (red)

Payout

House edge

American

38

47.37%

1:1

5.26%

European

37

48.65%

1:1

2.70%

French (La Partage)

37

48.65%

1:1 (half back on 0)

1.35%

💡 The only difference between American and European roulette is one extra zero - but that single pocket nearly doubles the house edge from 2.7% to 5.26%.

🎲 House edge by casino game

Casino house edge by game varies from under 0.5% to over 25% - the range is wide enough that game selection is the single most impactful decision a player makes before strategy or bet sizing.

Blackjack

Blackjack offers the lowest house edge casino games category at 0.5%–1% with basic strategy - a mathematically derived set of hit/stand/double/split decisions for every hand combination. Without basic strategy, the house edge rises to 2%–4% depending on play quality. Rule variations shift the edge: a dealer hitting soft 17 adds ~0.2%, each additional deck adds ~0.03%, restricted doubling rules add 0.1%–0.25%.

Baccarat

Casino games with lowest house edge include baccarat - specifically the Banker bet at 1.06% house edge (after the 5% commission on winning Banker bets). The Player bet carries 1.24%. The Tie bet, despite its tempting 8:1 payout, carries a 14.36% house edge and should be avoided entirely by players focused on odds calculation.

Craps

The Pass Line bet in craps carries a 1.41% house edge - among the best in the casino. The Don't Pass bet is marginally better at 1.36%. Free Odds bets (available after a point is established) carry zero house edge - the only true even-odds bet in any casino game. Proposition bets at the center of the craps table range from 9.09% to 16.67% and represent some of the worst bets available.

Roulette

European roulette at 2.70% and American roulette at 5.26% as calculated above. French roulette with the La Partage rule - which returns half the even-money bet when zero lands - reduces the effective house edge to 1.35%, making it the best roulette variant available.

Slots

Slot house edge varies from approximately 2% to 10%+ depending on the title and operator RTP configuration. Casino house edge by game for slots is less precise than table games because operators can configure multiple RTP tiers. At Slots Empire Casino, online slots run at highest-tier configurations - Book of Dead (Play'n GO, RTP: 96,21%, min. bet: $0.10) carries a 3.79% house edge; Gates of Olympus (Pragmatic Play, RTP: 96,50%, min. bet: $0.20) carries a 3.50% house edge at standard settings.

Video poker

Jacks or Better at full-pay (9/6 paytable) returns 99,54% RTP with optimal strategy - a house edge of 0.46%, making it one of the best-odds games in any casino. Deuces Wild at optimal pay tables can reach 100,17% theoretical RTP - marginally player-positive in theory, though finding full-pay tables requires careful paytable verification.

Keno and lottery-style games

Keno carries a house edge of 25%–30% - the highest of any standard casino game category. The combination of low hit frequency, complex payout structures and poor odds-to-payout ratios makes keno the mathematically worst choice for players prioritizing return rate.

The comparison table below maps all major game categories.

Game

Typical house edge

Skill element

Best strategy

Blackjack

0.5%–1%

High

Basic strategy chart

Video poker

0.46%–5%

High

Optimal hold strategy

Baccarat (Banker)

1.06%

None

Always bet Banker

Craps (Pass Line)

1.41%

Low

Pass + max Free Odds

European roulette

2.70%

None

Avoid American version

American roulette

5.26%

None

Play European instead

Slots

2%–10%

None

Check RTP before playing

Keno

25%–30%

None

Avoid for value

⚙️ What affects house edge in practice

How to calculate house edge for a specific game requires understanding that the published figure assumes specific rules - any rule variation shifts the edge, sometimes significantly.

Game rules and variations

Player advantage shifts with every rule change. In blackjack: six decks versus single deck adds approximately 0.18% to the house edge. Dealer hits soft 17 versus stands adds 0.22%. Blackjack paying 6:5 versus 3:2 adds 1.39% - the single most damaging rule change a player can encounter. In roulette: one zero versus two zeros cuts the house edge by half.

Player strategy and skill

Betting strategies based on skill only apply to blackjack and video poker - the only games where player decisions genuinely affect expected value. In blackjack, the difference between perfect basic strategy (0.5% edge) and average recreational play (2%–3% edge) represents a 4x to 6x increase in expected losses per hour at identical bet sizes.

Bet type within the same game

The craps table illustrates how dramatically probability in gambling varies by bet type within a single game. A player at the same craps table can choose bets ranging from 1.36% (Don't Pass) to 16.67% (Any Seven) - a 12x difference in house edge without changing games or tables.

Bet

House edge

Payout

Risk level

Don't Pass

1.36%

1:1

Low

Pass Line

1.41%

1:1

Low

Come Bet

1.41%

1:1

Low

Place 6 or 8

1.52%

7:6

Low-medium

Place 5 or 9

4.00%

7:5

Medium

Any Craps

11.11%

7:1

High

Any Seven

16.67%

4:1

Very high

💡 In craps, the difference between the best and worst bets on the same table can be over 15% - always check the edge of each specific bet, not just the game.

💰 Why house edge matters for your bankroll

Casino house edge explained in bankroll terms: the expected loss formula is simple - Expected Loss = Bet Size × Number of Bets × House Edge. A $5 bet on American roulette, 40 spins per hour, at 5.26% house edge = $10.52 expected loss per hour. The same $5 bet on European roulette at 2.70% = $5.40 expected loss per hour - game selection alone saves $5.12 per hour at identical stakes.

How losses accumulate over time

How to calculate house edge impact over a session: the longer the session, the more closely actual results approach the theoretical house edge. Short sessions produce high variance - single-session wins are common even against a 5% edge. Extended sessions with hundreds of bets converge toward expected values, making the mathematical edge increasingly deterministic.

Choosing games with better odds

How to calculate house roulette versus slots demonstrates the practical choice: European roulette at 2.70% versus a slot at 6% represents a 2.22x difference in expected hourly losses at the same bet size and speed. Practical recommendations: always choose European over American roulette, learn basic strategy for blackjack before playing, verify slot RTP in the game info panel before extended sessions.

House edge and volatility are not the same

Table game advantage concepts separate house edge from volatility - two mathematically distinct concepts that players frequently conflate. House edge is the long-term percentage the casino retains. Volatility describes the distribution of wins and losses in the short term - how wide the swings are around the expected value.

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