Removing 3 of 4 Three-Pip (Trey) (Rank-3) cards at 75% penetration of a 1-deck (52-card) shoe leaves 1 Rank-3 cards inside a 13-card stub (DEP034), producing 45.9620% Banker wins, 44.5223% Player wins, 9.5157% Ties, and a 0.3987% Banker house edge under 4%.
Reference shoe scoreboard (PPBBPPBBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP034 (1D Rank-3 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.
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.
75% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
3 3-pip cards across all four suits removed from the 1D pack.
Resolved at 45.9620% Banker win rate under 4% settlement.
Resolved at 44.5223% Player win rate with 0.9379 unit standard deviation.
Produces a 14.3589% house hold on the 8-to-1 Tie wager in state DEP034.
Under 4% settlement (4% Vig), combinatorial state DEP034 models a 1D carrier with 13 cards left (75% dealt) and 1/4 Three-Pip (Trey) cards remaining, producing a 0.3987% Banker edge versus 1.4397% on Player.
Because each removed 3-pip card (dep034-rank-3) modifies the boundary between banker (13c) standing on 5 and drawing (dep034-rank-3·13c) against mid-range player pulls, state DEP034 (75% 1D depth, 3 Rank-3 removed, 1 in 13 cards) registers a +0.65 bps rank derivative and 0.3987% Banker house edge (4% Vig).
| Wager / Metric | State DEP034 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP034 Banker (4% Vig) | 45.9620% (-0.3987% EV) | 45.9595% | DEP034 1D 75% (1 Rank-3) |
| DEP034 Player (1:1) | 44.5223% (-1.4397% EV) | 44.5249% | DEP034 13-card 1D stub (0.9379 SD) |
| DEP034 Tie (8:1) | 9.5157% (-14.3589% EV) | 9.5156% | DEP034 Rank-3 (3 out, 1 in) |
Even at 75% penetration in DEP034 where 3 Rank-3 cards have exited a 1D shoe (1 left in 13 cards), derived-road red and blue entries measure structural regularity on the Big Road—not whether Banker (-0.3987% EV, 4% Vig) or Player (-1.4397% EV) is favored next.
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.