Removing 13 of 16 Seven-Pip Card (Rank-7) cards at 70% penetration of a 4-deck (208-card) shoe leaves 3 Rank-7 cards inside a 62-card stub (DEP249), producing 45.8698% Banker wins, 44.5885% Player wins, 9.5417% Ties, and a 1.0122% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBPTBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP249 (4D Rank-7 at 70% 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.
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.
70% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
13 7-pip cards (Player stand total and Dragon 7 boundary) removed from the 4D pack.
Resolved at 45.8698% Banker win rate under 5% settlement.
Resolved at 44.5885% Player win rate with 0.9386 unit standard deviation.
Produces a 14.1245% house hold on the 8-to-1 Tie wager in state DEP249.
Removing 13 of 16 Rank-7 cards by the 70% mark of a 4-deck shoe (DEP249, 62 cards left) leaves 3 Seven-Pip Card cards and adjusts conditional probabilities to 45.8698% Banker, 44.5885% Player, and 9.5417% Tie under 5%.
Tableau audit DEP249 confirms that player stands pat on (dep249) two-card 7, and a player (4d-70%) third-card 7 is the highest (dep249·4d-70%) card that forces banker 4, 5, and 6 to draw. Inside the 62-card 4D stub (70% depth, 3/16 Rank-7 remaining, -0.83 bps slope), standard deviation is 0.9386 under 5% Vig.
| Wager / Metric | State DEP249 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP249 Banker (5% Vig) | 45.8698% (-1.0122% EV) | 45.8732% | DEP249 4D 70% (3 Rank-7) |
| DEP249 Player (1:1) | 44.5885% (-1.2813% EV) | 44.5850% | DEP249 62-card 4D stub (0.9386 SD) |
| DEP249 Tie (8:1) | 9.5417% (-14.1245% EV) | 9.5418% | DEP249 Rank-7 (13 out, 3 in) |
Across 100-hand session horizons at state DEP249 (4D 70% depth, 3/16 Rank-7 in 62 cards), single-hand dispersion (0.9386 SD) dominates the 1.0122% (5% Vig) Banker and 1.2813% Player expectation gap.
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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.
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