Removing 9 of 32 Eight-Pip Card (Rank-8) cards at 25% penetration of a 8-deck (416-card) shoe leaves 23 Rank-8 cards inside a 312-card stub (DEP434), producing 45.8592% Banker wins, 44.6253% Player wins, 9.5156% Ties, and a 1.0591% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPPBBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP434 (8D Rank-8 at 25% 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 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.
Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.
25% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
9 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 8D pack.
Resolved at 45.8592% Banker win rate under 5% settlement.
Resolved at 44.6253% Player win rate with 0.9344 unit standard deviation.
Produces a 14.3598% house hold on the 8-to-1 Tie wager in state DEP434.
Quantitative proof DEP434 documents 8D rank depletion at 25% depth: 9 exited Rank-8 cards leave 23 of 32 in the 312-card stub, generating 45.8592% Banker wins (-1.0591% EV under 5% Vig) and 44.6253% Player wins.
Depleting 8-pip cards also (DEP434-Rank-8) lowers two-card Natural 8 lockouts (312c) when paired with zero-point tens (DEP434-Rank-8·312c) and court cards. Because 9 of 32 Eight-Pip Card cards are absent in DEP434 at 25% 8D penetration (312 cards left), per-card sensitivity (-0.50 bps) interacts directly with quarter-shoe 25% penetration depth (DEP434) under standard 5% Banker commission (Rank-8) (0.95:1 payout).
| Wager / Metric | State DEP434 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP434 Banker (5% Vig) | 45.8592% (-1.0591% EV) | 45.8597% | DEP434 8D 25% (23 Rank-8) |
| DEP434 Player (1:1) | 44.6253% (-1.2339% EV) | 44.6247% | DEP434 312-card 8D stub (0.9344 SD) |
| DEP434 Tie (8:1) | 9.5156% (-14.3598% EV) | 9.5156% | DEP434 Rank-8 (9 out, 23 in) |
While DEP434 tracks 9 removed Eight-Pip Card cards across 25% of a 416-card (8D) shoe (312 remaining, 1.0591% 5% Vig edge), Big Eye Boy (lookback 1), Small Road (lookback 2), and Cockroach Pig (lookback 3) evaluate only Big Road column shapes.
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.