Removing 7 of 8 Four-Pip Card (Rank-4) cards at 85% penetration of a 2-deck (104-card) shoe leaves 1 Rank-4 cards inside a 16-card stub (DEP135), producing 45.9055% Banker wins, 44.5618% Player wins, 9.5327% Ties, and a 0.9097% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (BBPPBBPBPBPPBBPPBP) illustrating derived-road symmetry checks alongside DEP135 (2D Rank-4 at 85% 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 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.
85% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
7 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 2D pack.
Resolved at 45.9055% Banker win rate under EZ Baccarat settlement.
Resolved at 44.5618% Player win rate with 0.9392 unit standard deviation.
Produces a 14.2057% house hold on the 8-to-1 Tie wager in state DEP135.
Across 112,869,612,134,400 initial 2D permutations, depletion node DEP135 narrows to a 16-card stub (85% depth) holding 1 of 8 Rank-4 cards, where Banker resolves at 45.9055% (-0.9097% EV) and Player at 44.5618% (-1.3437% EV).
Mechanical draw trees in DEP135 reflect how removing 4s produces the (dep135-rank-4) single largest per-card shift toward (16c) banker (and away from player) (dep135-rank-4·16c) of any rank in the shoe. At 85% 2D depth (1 Rank-4 left of 8 in 16 cards, +1.19 bps slope), at 85% cut-card penetration, (dep135-2d) only 15% of the pack (1/8) remains and winning 3-card banker (dep135-2d·1/8) 7 hands push.
| Wager / Metric | State DEP135 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP135 Banker (EZ Bar-7) | 45.9055% (-0.9097% EV) | 45.8998% | DEP135 2D 85% (1 Rank-4) |
| DEP135 Player (1:1) | 44.5618% (-1.3437% EV) | 44.5676% | DEP135 16-card 2D stub (0.9392 SD) |
| DEP135 Tie (8:1) | 9.5327% (-14.2057% EV) | 9.5326% | DEP135 Rank-4 (7 out, 1 in) |
Across 100-hand session horizons at state DEP135 (2D 85% depth, 1/8 Rank-4 in 16 cards), single-hand dispersion (0.9392 SD) dominates the 0.9097% (EZ Bar-7) Banker and 1.3437% Player expectation gap.
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.