Removing 28 of 32 Five-Pip Card (Rank-5) cards at 75% penetration of a 8-deck (416-card) shoe leaves 4 Rank-5 cards inside a 104-card stub (DEP412), producing 45.8559% Banker wins, 44.6286% Player wins, 9.5155% Ties, and a 0.6070% Banker house edge under 4%.
Reference shoe scoreboard (PPBBPPPPBBBBPPBBPB) illustrating derived-road symmetry checks alongside DEP412 (8D Rank-5 at 75% 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.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
75% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
28 5-pip cards (final mandatory Player draw threshold) removed from the 8D pack.
Resolved at 45.8559% Banker win rate under 4% settlement.
Resolved at 44.6286% Player win rate with 0.9385 unit standard deviation.
Produces a 14.3604% house hold on the 8-to-1 Tie wager in state DEP412.
Under 4% settlement (4% Vig), combinatorial state DEP412 models a 8D carrier with 104 cards left (75% dealt) and 4/32 Five-Pip Card cards remaining, producing a 0.6070% Banker edge versus 1.2273% on Player.
Why does Rank-5 carry a -0.84 bps per-card effect in DEP412? Because Player draws on (DEP412) two-card 5 and stands on (8D-75%) 6, while Banker 3, 4, (DEP412·8D-75%) and 5 all draw against a Player third-card 5, rank 5 favors Player when depleted, and at 75% penetration (4 Five-Pip Card cards left in 104 8D cards), three-quarters of the shoe (dep412-8d) has been dealt and winning (4/32) banker wagers return 0.96 units (dep412-8d·4/32) net per unit risked.
| Wager / Metric | State DEP412 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP412 Banker (4% Vig) | 45.8559% (-0.6070% EV) | 45.8597% | DEP412 8D 75% (4 Rank-5) |
| DEP412 Player (1:1) | 44.6286% (-1.2273% EV) | 44.6247% | DEP412 104-card 8D stub (0.9385 SD) |
| DEP412 Tie (8:1) | 9.5155% (-14.3604% EV) | 9.5156% | DEP412 Rank-5 (28 out, 4 in) |
For DEP412 (104 remaining cards in a 416-card 8D shoe at 75% depth), tracking all 28 exited Rank-5 cards moves Banker win rate to 45.8559% (-0.6070% EV, 4% Vig) and Player to 44.6286% (-1.2273% EV).
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.