Blackjack Math
COMBINATORIAL ENGINE // RULE PERMUTATION

House Edge Calculator — Table Rules & Expected Loss Model

Audit the mathematical advantage of any blackjack table rule combination. Calculate exact baseline house edge, player RTP, and projected hourly losses.

TABLE RULE CONFIGURATION PETER GRIFFIN THEOREM
HOURLY EXPOSURE PARAMETERS

Marginal Rule Impact Breakdown

MATHEMATICAL READOUT REAL-TIME
NET HOUSE ADVANTAGE 0.43%
PLAYER RETURN (RTP) 99.57%
EXPECTED LOSS PER $100 WAGERED -$0.43
PROJECTED HOURLY DRIFT -$8.60 / hr

Frequently Answered Questions

Why does a 6:5 payout increase the house edge so drastically?

Natural blackjacks occur approximately once every 21 hands (4.8% frequency). Reducing the payout from 3:2 (1.5x) to 6:5 (1.2x) extracts 0.3 units of profit from every natural, adding +1.39% directly to the house edge.

How does the number of decks affect the mathematical expectation?

Fewer decks concentrate card removal effects. With single deck, natural blackjacks occur more frequently (4.83% vs 4.75% in 8 decks) and doubling on 10/11 has higher success rates, reducing house edge by ~0.55%.

What is the impact of Dealer Hitting Soft 17 (H17)?

When the dealer hits Soft 17, they will occasionally bust, but far more frequently improve to 18, 19, 20, or 21. This improves the casino expectation by +0.22% across all player totals.