Banker wins pay 1 to 1 with no commission, except a winning 3-card Banker total of 7 is a barred push on the Banker main bet. When Banker draws a third card to reach 7 and beats Player (0–6), main Banker bets push while the Dragon 7 side bet pays 40 to 1. In an 8-deck shoe, a winning three-card Banker 7 occurs on exactly 2.2534% of all deals (11,263,325,921,280 out of 4,998,398,275,503,360 six-card permutations). Removing 2.2534% from the 45.8597% Banker win rate leaves 43.6063% paid 1:1 against 44.6247% Player losses, resulting in a −1.0184% Banker expectation.
EZBAR7 rule audit scoreboard. Derived roads record past hand symmetry and never change EZBAR7 house edge.
Column 3 has 1 bead. Column 2 has 1 bead. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.
Column 4 has 1 bead. Column 2 has 1 bead. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.
Column 5 has 1 bead. Column 2 has 1 bead. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.
Banker wins pay 1 to 1 with no commission, except a winning 3-card Banker total of 7 is a barred push on the Banker main bet
Removing 2.2534% from the 45.8597% Banker win rate leaves 43.6063% paid 1:1 against 44.6247% Player losses, resulting in a −1.0184% Banker expectation
Unchanged 1:1 even-money settlement on all winning Player hands (44.6247% win rate).
Evaluated across 9.5156% 8-deck Tie frequency (8:1 payout).
California cardrooms, Las Vegas Strip commission-free pits, and British Columbia casinos
[EZBAR7-MECHANISM] Banker wins pay 1 to 1 with no commission, except a winning 3-card Banker total of 7 is a barred push on the Banker main bet. When Banker draws a third card to reach 7 and beats Player (0–6), main Banker bets push while the Dragon 7 side bet pays 40 to 1. Across California cardrooms, Las Vegas Strip commission-free pits, and British Columbia casinos, pit supervisors enforce this exact settlement table on every 416-card shoe.
[EZBAR7-PROOF] In an 8-deck shoe, a winning three-card Banker 7 occurs on exactly 2.2534% of all deals (11,263,325,921,280 out of 4,998,398,275,503,360 six-card permutations). Removing 2.2534% from the 45.8597% Banker win rate leaves 43.6063% paid 1:1 against 44.6247% Player losses, resulting in a −1.0184% Banker expectation. Because each six-card deal is governed by the fixed third-card tableau, scoreboard trends on Big Eye Boy, Small Road, and Cockroach Pig cannot shift the 1.0184% Banker expectation.
| EZBAR7 Metric | EZBAR7 Banker | EZBAR7 Player | EZBAR7 Tie | EZBAR7 Baseline Ref |
|---|---|---|---|---|
| EZBAR7 Gross Payout | 1.000 to 1 | 1.000 to 1 | 8.000 to 1 | 8-Deck 416 Cards |
| EZBAR7 Win Probability | 45.8597% | 44.6247% | 9.5156% | Naturals 34.3049% |
| EZBAR7 House Edge | 1.0184% | 1.2351% | 14.3596% | Std 5%: 1.0579% |
| EZBAR7 Variance / Unit | 0.9047 | 0.9047 | 6.9742 | Code EZBAR7-V8 |
Enter any sequence to inspect the Big Road, Big Eye Boy, Small Road, Cockroach Pig, and next-hand previews.
About 64 minutes of lessons covering outcomes, the Bead Plate, Big Road columns, and dragon tails.
Train Third-Card Rule decisions, depth counting, lookback column references, and derived-road speed recognition.
Visual step-by-step breakdowns with closed captions, chapter markers, and full searchable transcripts.
Macau Cantonese, French, and mathematical table terms explained in plain English with road diagrams.
Direct answers to real student questions on dragon tails, tie handling, lookback rules, and table variants.
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