Removing 6 of 8 Seven-Pip Card (Rank-7) cards at 60% penetration of a 2-deck (104-card) shoe leaves 2 Rank-7 cards inside a 42-card stub (DEP158), producing 45.8968% Banker wins, 44.5707% Player wins, 9.5325% Ties, and a 0.9272% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (PPBBPBPPBBPBPPBBPB) illustrating derived-road symmetry checks alongside DEP158 (2D Rank-7 at 60% 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.
60% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
6 7-pip cards (Player stand total and Dragon 7 boundary) removed from the 2D pack.
Resolved at 45.8968% Banker win rate under EZ Baccarat settlement.
Resolved at 44.5707% Player win rate with 0.9376 unit standard deviation.
Produces a 14.2072% house hold on the 8-to-1 Tie wager in state DEP158.
Finite-shoe specification DEP158 tracks Rank-7 removal at 60% depth in 2-deck play: with 2 of 8 Seven-Pip Card cards left in the 42-card stub, Tie incidence is 9.5325% and Banker expectation settles at -0.9272% (EZ Bar-7).
Combinatorial weighting in DEP158 (42 cards left from 104 at 60% depth) is governed by two rules: player stands pat on (dep158) two-card 7, and a player (2d-60%) third-card 7 is the highest (dep158·2d-60%) card that forces banker 4, 5, and 6 to draw, and banker wins pay 1:1 (dep158-2d) with zero commission except when (2/8) banker wins with a three-card (dep158-2d·2/8) total of 7, which pushes (-0.83 bps per Rank-7 removed).
| Wager / Metric | State DEP158 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP158 Banker (EZ Bar-7) | 45.8968% (-0.9272% EV) | 45.8998% | DEP158 2D 60% (2 Rank-7) |
| DEP158 Player (1:1) | 44.5707% (-1.3262% EV) | 44.5676% | DEP158 42-card 2D stub (0.9376 SD) |
| DEP158 Tie (8:1) | 9.5325% (-14.2072% EV) | 9.5326% | DEP158 Rank-7 (6 out, 2 in) |
Scoreboard literacy in DEP158 separates two independent concepts: 2D card-removal math (2 Rank-7 left in 42 cards at 60% depth, 0.9376 volatility) and derived-road comparison rules (Rule 1 column-depth checks and Rule 2 two-cell lookbacks).
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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.
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