Removing 15 of 16 Eight-Pip Card (Rank-8) cards at 85% penetration of a 4-deck (208-card) shoe leaves 1 Rank-8 cards inside a 31-card stub (DEP261), producing 45.8706% Banker wins, 44.5877% Player wins, 9.5417% Ties, and a 0.9704% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (BBPPPBBBPPBPTBPBBP) illustrating derived-road symmetry checks alongside DEP261 (4D Rank-8 at 85% depth).
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.
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.
85% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
15 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 4D pack.
Resolved at 45.8706% Banker win rate under EZ Baccarat settlement.
Resolved at 44.5877% Player win rate with 0.9404 unit standard deviation.
Produces a 14.1247% house hold on the 8-to-1 Tie wager in state DEP261.
Across 7,673,190,695,193,600 initial 4D permutations, depletion node DEP261 narrows to a 31-card stub (85% depth) holding 1 of 16 Rank-8 cards, where Banker resolves at 45.8706% (-0.9704% EV) and Player at 44.5877% (-1.2830% EV).
Because depleting 8-pip cards also (dep261-rank-8) lowers two-card natural 8 lockouts (31c) when paired with zero-point tens (dep261-rank-8·31c) and court cards, state DEP261 (85% 4D depth, 15 Rank-8 removed, 1 in 31 cards) registers a -0.50 bps rank derivative and 0.9704% Banker house edge (EZ Bar-7).
| Wager / Metric | State DEP261 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP261 Banker (EZ Bar-7) | 45.8706% (-0.9704% EV) | 45.8732% | DEP261 4D 85% (1 Rank-8) |
| DEP261 Player (1:1) | 44.5877% (-1.2830% EV) | 44.5850% | DEP261 31-card 4D stub (0.9404 SD) |
| DEP261 Tie (8:1) | 9.5417% (-14.1247% EV) | 9.5418% | DEP261 Rank-8 (15 out, 1 in) |
Statistical verification of DEP261 (4D, 85% penetration, 1 Eight-Pip Card cards in 31 stub cards) demonstrates why single-rank depletion (15 Rank-8 dealt) shifts edges by basis points around -0.9704% (EZ Bar-7).
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