Removing 5 of 8 Seven-Pip Card (Rank-7) cards at 50% penetration of a 2-deck (104-card) shoe leaves 3 Rank-7 cards inside a 52-card stub (DEP157), producing 45.8974% Banker wins, 44.5700% Player wins, 9.5325% Ties, and a 1.3656% Banker house edge under Super 6.
Reference shoe scoreboard (BBPPBPBBPPBPBBPPBP) illustrating derived-road symmetry checks alongside DEP157 (2D Rank-7 at 50% depth).
Column 2 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.
Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.
This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.
50% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
5 7-pip cards (Player stand total and Dragon 7 boundary) removed from the 2D pack.
Resolved at 45.8974% Banker win rate under Super 6 settlement.
Resolved at 44.5700% Player win rate with 0.9366 unit standard deviation.
Produces a 14.2071% house hold on the 8-to-1 Tie wager in state DEP157.
When a 2D shoe reaches 50% cut-card depth (52 of 104 cards undealt, state DEP157) with 5 Seven-Pip Card cards removed and 3 remaining, Player wins 44.5700% (1.3274% edge) while Banker wins 45.8974% (1.3656% edge under Super 6).
Mechanical draw trees in DEP157 reflect how depleting 7s lowers the (dep157-rank-7) rate of winning three-card banker (52c) 7 hands (the barred push (dep157-rank-7·52c) total on ez baccarat tables). At 50% 2D depth (3 Rank-7 left of 8 in 52 cards, -0.83 bps slope), banker wins on totals (dep157-2d) 1–5 and 7–9 pay 1:1 (3/8) while any winning 2-card or (dep157-2d·3/8) 3-card banker 6 pays 50 cents on the dollar.
| Wager / Metric | State DEP157 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP157 Banker (Super 6) | 45.8974% (-1.3656% EV) | 45.8998% | DEP157 2D 50% (3 Rank-7) |
| DEP157 Player (1:1) | 44.5700% (-1.3274% EV) | 44.5676% | DEP157 52-card 2D stub (0.9366 SD) |
| DEP157 Tie (8:1) | 9.5325% (-14.2071% EV) | 9.5326% | DEP157 Rank-7 (5 out, 3 in) |
Cut-card protocol at 50% depth in DEP157 (2D, 52 stub cards containing 3 Rank-7 cards) ensures the shoe reshuffles long before Super 6 house hold (1.3656% Banker / 1.3274% Player) is overturned.
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.
Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.