Removing 6 of 8 Three-Pip (Trey) (Rank-3) cards at 60% penetration of a 2-deck (104-card) shoe leaves 2 Rank-3 cards inside a 42-card stub (DEP122), producing 45.9021% Banker wins, 44.5652% Player wins, 9.5327% Ties, and a 0.9164% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (PPBBPBTBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP122 (2D Rank-3 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.
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.
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.
60% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
6 3-pip cards across all four suits removed from the 2D pack.
Resolved at 45.9021% Banker win rate under EZ Baccarat settlement.
Resolved at 44.5652% Player win rate with 0.9364 unit standard deviation.
Produces a 14.2060% house hold on the 8-to-1 Tie wager in state DEP122.
Depletion matrix entry DEP122 pairs 2D (104 cards) at 60% penetration with 6 removed Three-Pip (Trey) cards (2 left in 42 cards), fixing per-hand volatility at 0.9364 and Banker house hold at 0.9164% (EZ Bar-7).
Tracking DEP122 across 42 remaining 2D cards (60% depth) shows that each removed 3-pip card (dep122-rank-3) modifies the boundary between banker (42c) standing on 5 and drawing (dep122-rank-3·42c) against mid-range player pulls. With 6 Rank-3 cards gone (+0.65 bps unit sensitivity), Banker expectation is -0.9164% (EZ Bar-7) vs -1.3370% on Player.
| Wager / Metric | State DEP122 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP122 Banker (EZ Bar-7) | 45.9021% (-0.9164% EV) | 45.8998% | DEP122 2D 60% (2 Rank-3) |
| DEP122 Player (1:1) | 44.5652% (-1.3370% EV) | 44.5676% | DEP122 42-card 2D stub (0.9364 SD) |
| DEP122 Tie (8:1) | 9.5327% (-14.2060% EV) | 9.5326% | DEP122 Rank-3 (6 out, 2 in) |
In studio and floor audits of DEP122 (42 cards undealt out of 104 in 2D at 60% depth), a 0.9364 unit standard deviation accompanies the 2-card Rank-3 stub under EZ Bar-7 (45.9021% Banker vs 44.5652% Player).
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