Removing 15 of 16 Nine-Pip Card (Rank-9) cards at 85% penetration of a 4-deck (208-card) shoe leaves 1 Rank-9 cards inside a 31-card stub (DEP270), producing 45.8720% Banker wins, 44.5862% Player wins, 9.5417% Ties, and a 0.9676% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (PPBBPBPPBBPBPPBBPB) illustrating derived-road symmetry checks alongside DEP270 (4D Rank-9 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).
15 9-pip cards (top Natural 9 generator) removed from the 4D pack.
Resolved at 45.8720% Banker win rate under EZ Baccarat settlement.
Resolved at 44.5862% Player win rate with 0.9407 unit standard deviation.
Produces a 14.1243% house hold on the 8-to-1 Tie wager in state DEP270.
Finite-shoe specification DEP270 tracks Rank-9 removal at 85% depth in 4-deck play: with 1 of 16 Nine-Pip Card cards left in the 31-card stub, Tie incidence is 9.5417% and Banker expectation settles at -0.9676% (EZ Bar-7).
When 15 Rank-9 cards exit a 4D shoe by 85% penetration (DEP270, 1 left in 31 cards), when 9s are depleted (dep270-rank-9) late in the shoe, more (31c) hands bypass four-card natural resolution (dep270-rank-9·31c) and enter the five- and six-card tableau, combining a -0.23 bps rank vector with EZ Baccarat settlement (-0.9676% Banker EV).
| Wager / Metric | State DEP270 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP270 Banker (EZ Bar-7) | 45.8720% (-0.9676% EV) | 45.8732% | DEP270 4D 85% (1 Rank-9) |
| DEP270 Player (1:1) | 44.5862% (-1.2858% EV) | 44.5850% | DEP270 31-card 4D stub (0.9407 SD) |
| DEP270 Tie (8:1) | 9.5417% (-14.1243% EV) | 9.5418% | DEP270 Rank-9 (15 out, 1 in) |
Comparing DEP270 (85% 4D depth, 15 Rank-9 removed, 1 remaining in 31 cards) against fresh-shoe baselines shows how finite-stub variance (0.9407 SD) coexists with a 0.9676% EZ Baccarat Banker house edge.
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