Removing 11 of 16 Nine-Pip Card (Rank-9) cards at 60% penetration of a 4-deck (208-card) shoe leaves 5 Rank-9 cards inside a 83-card stub (DEP266), producing 45.8724% Banker wins, 44.5858% Player wins, 9.5418% Ties, and a 0.9668% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (PPBBPBTBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP266 (4D Rank-9 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 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
11 9-pip cards (top Natural 9 generator) removed from the 4D pack.
Resolved at 45.8724% Banker win rate under EZ Baccarat settlement.
Resolved at 44.5858% Player win rate with 0.9382 unit standard deviation.
Produces a 14.1241% house hold on the 8-to-1 Tie wager in state DEP266.
Quantitative proof DEP266 documents 4D rank depletion at 60% depth: 11 exited Rank-9 cards leave 5 of 16 in the 83-card stub, generating 45.8724% Banker wins (-0.9668% EV under EZ Bar-7) and 44.5858% Player wins.
Under the fixed third-card tableau for DEP266, rank 9 paired with (dep266) any ten or face card (4d-60%) creates an unbeatable two-card natural (dep266·4d-60%) 9 that halts all third-card drawing on both sides. With 5 Rank-9 cards inside 83 remaining 4D cards (60% dealt), single-card slope (-0.23 bps) keeps Banker house edge at 0.9668% and Player at 1.2866%.
| Wager / Metric | State DEP266 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP266 Banker (EZ Bar-7) | 45.8724% (-0.9668% EV) | 45.8732% | DEP266 4D 60% (5 Rank-9) |
| DEP266 Player (1:1) | 44.5858% (-1.2866% EV) | 44.5850% | DEP266 83-card 4D stub (0.9382 SD) |
| DEP266 Tie (8:1) | 9.5418% (-14.1241% EV) | 9.5418% | DEP266 Rank-9 (11 out, 5 in) |
In studio and floor audits of DEP266 (83 cards undealt out of 208 in 4D at 60% depth), a 0.9382 unit standard deviation accompanies the 5-card Rank-9 stub under EZ Bar-7 (45.8724% Banker vs 44.5858% Player).
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