Casino House Edge Calculator
Calculate the theoretical house edge (casino advantage) for popular casino games based on specific rules and bet types.
Formulas Used
General House Edge: House Edge (%) = −E[V] × 100, where E[V] = Σ (probability of outcome × net payout)
Blackjack (Basic Strategy): Base edge by deck count + rule adjustments (H17: +0.22%, 6:5 payout: +1.39%, no DAS: +0.14%, late surrender: −0.08%, resplit aces: −0.08%)
Roulette: Edge = 1 − (n/S) × (P+1), where n = numbers covered, S = total slots (37 or 38), P = payout ratio. French La Partage halves edge on even-money bets.
Baccarat Banker: Edge = −(0.95 × P(Banker) − P(Player)) using 8-deck probabilities: P(B)=45.8597%, P(P)=44.6247%, P(T)=9.5156%
Craps Pass Line: Edge = (220 × (−1) + 976 × EV_points) / 1980 ≈ 1.41%
Slots: House Edge = 100% − RTP%
Assumptions & References
- Blackjack edges assume perfect basic strategy play; deviations increase the house edge significantly.
- Blackjack base edges by deck count sourced from Wizard of Odds Blackjack Appendix 3.
- Baccarat probabilities based on standard 8-deck shoe, no burn cards adjustment.
- Craps edges are per-roll or per-bet-resolved as conventionally reported (Wizard of Odds Craps page).
- Roulette uses standard payouts; American wheel has 0 and 00 (38 slots), European has single 0 (37 slots).
- Slot RTP is set by the game manufacturer/casino; regulatory minimums vary by jurisdiction (typically 75%–98%).
- House edge represents long-run theoretical advantage; short-term results vary due to variance.
- References: Wizard of Odds (wizardofodds.com), Stanford Wong "Professional Blackjack", Thorp "Beat the Dealer".