Removing 63 of 64 0-Value Tens & Faces (Rank-0) cards at 85% penetration of a 4-deck (208-card) shoe leaves 1 Rank-0 cards inside a 31-card stub (DEP189), producing 45.8771% Banker wins, 44.5809% Player wins, 9.5420% Ties, and a 0.9572% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (BBPPBPBBPPBPBBPPBP) illustrating derived-road symmetry checks alongside DEP189 (4D Rank-0 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 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.
85% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
63 10, Jack, Queen, and King (zero-point cards) removed from the 4D pack.
Resolved at 45.8771% Banker win rate under EZ Baccarat settlement.
Resolved at 44.5809% Player win rate with 0.9380 unit standard deviation.
Produces a 14.1219% house hold on the 8-to-1 Tie wager in state DEP189.
Card-removal benchmark DEP189 measures 0-Value Tens & Faces (Rank-0) scarcity at 85% depth in a 4-deck shoe: 63 removed ranks leave 1 in the 31-card remainder, shifting Banker win share to 45.8771% (0.9572% edge, EZ Bar-7).
In 4D audit DEP189 (31/208 stub at 85% depth), fewer zero-value draws mean (dep189-rank-0) third-card pulls change running totals (31c) more frequently instead of leaving (dep189-rank-0·31c) totals unchanged. Removing 63 Rank-0 cards (+0.18 bps per card) alongside EZ Bar-7 rules sets Tie hold to 14.1219% (9.5420% frequency).
| Wager / Metric | State DEP189 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP189 Banker (EZ Bar-7) | 45.8771% (-0.9572% EV) | 45.8732% | DEP189 4D 85% (1 Rank-0) |
| DEP189 Player (1:1) | 44.5809% (-1.2962% EV) | 44.5850% | DEP189 31-card 4D stub (0.9380 SD) |
| DEP189 Tie (8:1) | 9.5420% (-14.1219% EV) | 9.5418% | DEP189 Rank-0 (63 out, 1 in) |
Whether DEP189 is observed in four-deck Asian VIP salons and compact automatic shuffler shoes at 85% depth (31/208 cards left, 1 Rank-0 remaining), EZ Bar-7 settlement locks Banker EV at -0.9572% and Player EV at -1.2962% with 9.5420% Ties.
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