House-edge database.

Denominator

Initial wager

Assumptions

3:2 blackjack; double any two; dealer peek; total-dependent basic strategy

Source

Casino Calculated profile model

Complete stored profile; not a mix-and-match adjustment.

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Denominator

Initial wager

Assumptions

3:2 blackjack; double any two; dealer peek; total-dependent basic strategy

Source

Casino Calculated profile model

Open complete rule analysis →

Denominator

Initial wager

Assumptions

3:2 blackjack; double any two; dealer peek; total-dependent basic strategy

Source

Casino Calculated profile model

Open complete rule analysis →

Denominator

Initial wager

Assumptions

3:2 blackjack; no surrender; dealer peek; cut card

Source

Casino Calculated profile model

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Denominator

Initial wager

Assumptions

6:5 blackjack; no surrender; total-dependent strategy

Source

Casino Calculated profile model

Open complete rule analysis →

Denominator

Initial wager

Assumptions

Standard drawing rules; ties push

Source

Wizard of Odds ↗

Open complete rule analysis →

Denominator

Initial wager

Assumptions

Standard drawing rules; ties push

Source

Wizard of Odds ↗

Open complete rule analysis →

Denominator

Initial wager

Assumptions

Standard drawing rules

Source

Wizard of Odds ↗

Open complete rule analysis →

Denominator

Initial line wager

Assumptions

Standard come-out and point rules

Source

Wizard of Odds ↗

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Denominator

Initial line wager

Assumptions

12 pushes on come-out

Source

Wizard of Odds ↗

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Denominator

Odds wager only

Assumptions

True-odds payout; requires a line wager

Source

Direct probability

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Denominator

Initial wager

Assumptions

Standard payouts; no special even-money rule

Source

Direct probability

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Denominator

Initial wager

Assumptions

Standard payouts

Source

Direct probability

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Denominator

Initial wager

Assumptions

Half stake returned when zero lands

Source

Direct probability

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Denominator

Total credits wagered

Assumptions

Full-pay royal; optimal strategy

Source

Wizard of Odds ↗

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Denominator

Total credits wagered

Assumptions

Full-pay royal; strategy matched to pay table

Source

Wizard of Odds ↗

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Denominator

Initial Ante unit

Assumptions

Optimal strategy; Trips excluded

Source

Wizard of Odds ↗

Element of risk is approximately 0.526% of average total action.

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Denominator

Initial Ante unit

Assumptions

Published simplified strategy; Trips excluded

Source

Wizard of Odds ↗

Open complete rule analysis →

Denominator

Initial Ante

Assumptions

Q-6-4 strategy

Source

Wizard of Odds ↗

Open complete rule analysis →

Denominator

Total wager

Assumptions

Exact certified RTP required

Source

Operator or regulator documentation

No responsible universal estimate is possible.

Denominator

Initial base wager

Assumptions

Spanish decks; dealer stands soft 17; usual player bonuses and actions; matched basic strategy

Source

Wizard of Odds — Spanish 21 ↗

Before the wager-size-dependent Super Bonus contribution.

Denominator

Separate wager or settlement branch

Assumptions

Published 18/13/8/9/4 schedule; six Spanish decks

Source

Wizard of Odds — Spanish 21 ↗

Exact pay table shown in the cited analysis.

Denominator

Separate wager or settlement branch

Assumptions

48-card decks; bonus schedule and action rules required

Source

Approved or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

48-card decks; bonus schedule and action rules required

Source

Approved or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

48-card decks; bonus schedule and action rules required

Source

Approved or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

48-card decks; bonus schedule and action rules required

Source

Approved or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

48-card decks; bonus schedule and action rules required

Source

Approved or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

48-card decks; bonus schedule and action rules required

Source

Approved or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

48-card decks; bonus schedule and action rules required

Source

Approved or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

48-card decks; bonus schedule and action rules required

Source

Approved or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Initial base wager

Assumptions

H17; 3:2; DAS; no surrender; standard free 9–11 doubles, free splits and Push 22

Source

Wizard of Odds — Free Bet Blackjack ↗

Cash-hand base game using variant strategy.

Denominator

Separate wager or settlement branch

Assumptions

Free-action eligibility, dealer push result and blackjack payout required

Source

Manufacturer or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Free-action eligibility, dealer push result and blackjack payout required

Source

Manufacturer or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Free-action eligibility, dealer push result and blackjack payout required

Source

Manufacturer or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Published 1000/300/100/60/30/10/3 token schedule; base strategy preserved

Source

Wizard of Odds — Free Bet Blackjack ↗

Separate optional wager.

Denominator

Separate wager or settlement branch

Assumptions

Six decks; H17; side bet pays 11:1 when dealer draws to 22

Source

Wizard of Odds — Free Bet Blackjack ↗

Separate optional wager.

Denominator

Separate wager or settlement branch

Assumptions

Free-action eligibility, dealer push result and blackjack payout required

Source

Manufacturer or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Free-action eligibility, dealer push result and blackjack payout required

Source

Manufacturer or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Free-action eligibility, dealer push result and blackjack payout required

Source

Manufacturer or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Free-action eligibility, dealer push result and blackjack payout required

Source

Manufacturer or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Initial base wager

Assumptions

Dealer banks; 5% commission; copies to banker; house-way player setting

Source

Wizard of Odds — Pai Gow Poker ↗

Expected loss per player wager under the stated model.

Denominator

Separate wager or settlement branch

Assumptions

Joker, copies, commission, banking and house way required

Source

Regulator or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

No commission; banker advantage supplies the edge

Source

Wizard of Odds — Pai Gow Poker ↗

Players facing the banker have the corresponding disadvantage.

Denominator

Separate wager or settlement branch

Assumptions

Joker, copies, commission, banking and house way required

Source

Regulator or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Joker, copies, commission, banking and house way required

Source

Regulator or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Joker, copies, commission, banking and house way required

Source

Regulator or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Joker, copies, commission, banking and house way required

Source

Regulator or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Joker, copies, commission, banking and house way required

Source

Regulator or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Joker, copies, commission, banking and house way required

Source

Regulator or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Joker, copies, commission, banking and house way required

Source

Regulator or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Initial base wager

Assumptions

Always go to war; standard burn; second tie does not add a bonus

Source

Wizard of Odds — Casino War ↗

House edge per initial wager.

Denominator

Separate wager or settlement branch

Assumptions

Player surrenders half the initial wager on every tie

Source

Wizard of Odds — Casino War ↗

Inferior to going to war under the stated standard rules.

Denominator

Separate wager or settlement branch

Assumptions

Always go to war; standard burn; second tie does not add a bonus

Source

Wizard of Odds — Casino War ↗

Same base-game branch as the initial comparison.

Denominator

Separate wager or settlement branch

Assumptions

Deck count, burn cards, surrender and second-tie settlement required

Source

Regulator or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

First player and dealer cards have equal rank

Source

Wizard of Odds — Casino War ↗

Separate side wager.

Denominator

Separate wager or settlement branch

Assumptions

Deck count, burn cards, surrender and second-tie settlement required

Source

Regulator or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Deck count, burn cards, surrender and second-tie settlement required

Source

Regulator or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Deck count, burn cards, surrender and second-tie settlement required

Source

Regulator or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Deck count, burn cards, surrender and second-tie settlement required

Source

Regulator or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Deck count, burn cards, surrender and second-tie settlement required

Source

Regulator or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Initial base wager

Assumptions

Optimal 1×/3×/fold strategy; straight pays 4:1; pairs 6–10 push

Source

Wizard of Odds — Mississippi Stud ↗

Element of risk is 1.37% on average total action of 3.59 Ante units.

Open complete rule analysis →

Denominator

Separate wager or settlement branch

Assumptions

Complete base schedule and 1×–3× raise rules required

Source

Manufacturer or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Complete base schedule and 1×–3× raise rules required

Source

Manufacturer or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Complete base schedule and 1×–3× raise rules required

Source

Manufacturer or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Complete base schedule and 1×–3× raise rules required

Source

Manufacturer or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Complete base schedule and 1×–3× raise rules required

Source

Manufacturer or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Complete base schedule and 1×–3× raise rules required

Source

Manufacturer or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Complete base schedule and 1×–3× raise rules required

Source

Manufacturer or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Complete base schedule and 1×–3× raise rules required

Source

Manufacturer or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Complete base schedule and 1×–3× raise rules required

Source

Manufacturer or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

One initial betting unit under the cited convention

Assumptions

1000-200-50-11-8-5-3-2-1 schedule; optimal withdrawal strategy

Source

Wizard of Odds — Let It Ride ↗

Base game only; bonus wager excluded.

Denominator

Separate wager or settlement branch

Assumptions

Base schedule, withdrawal rules and bonus schedule required

Source

Manufacturer or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Base schedule, withdrawal rules and bonus schedule required

Source

Manufacturer or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Base schedule, withdrawal rules and bonus schedule required

Source

Manufacturer or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Base schedule, withdrawal rules and bonus schedule required

Source

Manufacturer or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Base schedule, withdrawal rules and bonus schedule required

Source

Manufacturer or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Base schedule, withdrawal rules and bonus schedule required

Source

Manufacturer or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Base schedule, withdrawal rules and bonus schedule required

Source

Manufacturer or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Base schedule, withdrawal rules and bonus schedule required

Source

Manufacturer or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Base schedule, withdrawal rules and bonus schedule required

Source

Manufacturer or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Initial base wager

Assumptions

Dealer qualifies A-K or better; 2× raise; optimal strategy; standard premium schedule

Source

Wizard of Odds — Caribbean Stud ↗

Element of risk is 2.555% on average total action of 2.045 Ante units.

Denominator

Separate wager or settlement branch

Assumptions

Dealer qualification, raise multiple, premium schedule and cap required

Source

Galaxy Gaming or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Dealer qualification, raise multiple, premium schedule and cap required

Source

Galaxy Gaming or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Dealer qualification, raise multiple, premium schedule and cap required

Source

Galaxy Gaming or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Dealer qualification, raise multiple, premium schedule and cap required

Source

Galaxy Gaming or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Dealer qualification, raise multiple, premium schedule and cap required

Source

Galaxy Gaming or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Dealer qualification, raise multiple, premium schedule and cap required

Source

Galaxy Gaming or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Dealer qualification, raise multiple, premium schedule and cap required

Source

Galaxy Gaming or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Dealer qualification, raise multiple, premium schedule and cap required

Source

Galaxy Gaming or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Dealer qualification, raise multiple, premium schedule and cap required

Source

Galaxy Gaming or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Initial base wager

Assumptions

Dealer qualifies with three-card nine-high flush; optimal approximation; maximum permitted raises

Source

Wizard of Odds — High Card Flush ↗

Element of risk is 1.544% on average total action of 1.711 Ante units.

Denominator

Separate wager or settlement branch

Assumptions

Dealer qualification, raise limits and bonus schedules required

Source

Galaxy Gaming or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Dealer qualification, raise limits and bonus schedules required

Source

Galaxy Gaming or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Dealer qualification, raise limits and bonus schedules required

Source

Galaxy Gaming or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Dealer qualification, raise limits and bonus schedules required

Source

Galaxy Gaming or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Dealer qualification, raise limits and bonus schedules required

Source

Galaxy Gaming or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Seven through four cards pay 300/100/10/1

Source

Wizard of Odds — High Card Flush ↗

Separate optional wager.

Denominator

Separate wager or settlement branch

Assumptions

Seven through three cards pay 8000/1000/100/60/7

Source

Wizard of Odds — High Card Flush ↗

Separate optional wager.

Denominator

Separate wager or settlement branch

Assumptions

Dealer qualification, raise limits and bonus schedules required

Source

Galaxy Gaming or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.

Denominator

Separate wager or settlement branch

Assumptions

Dealer qualification, raise limits and bonus schedules required

Source

Galaxy Gaming or posted rules ↗

Exact percentage requires the complete posted schedule and rules; no universal value is assigned.