Removing 7 of 8 Eight-Pip Card (Rank-8) cards at 85% penetration of a 2-deck (104-card) shoe leaves 1 Rank-8 cards inside a 16-card stub (DEP171), producing 45.8974% Banker wins, 44.5701% Player wins, 9.5325% Ties, and a 0.9261% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (BBPPBBBBPPPPBBPPBP) illustrating derived-road symmetry checks alongside DEP171 (2D Rank-8 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.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
85% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
7 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 2D pack.
Resolved at 45.8974% Banker win rate under EZ Baccarat settlement.
Resolved at 44.5701% Player win rate with 0.9404 unit standard deviation.
Produces a 14.2075% house hold on the 8-to-1 Tie wager in state DEP171.
When a 2D shoe reaches 85% cut-card depth (16 of 104 cards undealt, state DEP171) with 7 Eight-Pip Card cards removed and 1 remaining, Player wins 44.5701% (1.3273% edge) while Banker wins 45.8974% (0.9261% edge under EZ Baccarat).
Tableau audit DEP171 confirms that on banker total 3, (dep171) banker draws against every player (2d-85%) third card except 8; removing (dep171·2d-85%) 8s eliminates banker 3's sole standing exception. Inside the 16-card 2D stub (85% depth, 1/8 Rank-8 remaining, -0.50 bps slope), standard deviation is 0.9404 under EZ Bar-7.
| Wager / Metric | State DEP171 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP171 Banker (EZ Bar-7) | 45.8974% (-0.9261% EV) | 45.8998% | DEP171 2D 85% (1 Rank-8) |
| DEP171 Player (1:1) | 44.5701% (-1.3273% EV) | 44.5676% | DEP171 16-card 2D stub (0.9404 SD) |
| DEP171 Tie (8:1) | 9.5325% (-14.2075% EV) | 9.5326% | DEP171 Rank-8 (7 out, 1 in) |
Comparing DEP171 (85% 2D depth, 7 Rank-8 removed, 1 remaining in 16 cards) against fresh-shoe baselines shows how finite-stub variance (0.9404 SD) coexists with a 0.9261% EZ Baccarat Banker house edge.
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