Removing 15 of 16 0-Value Tens & Faces (Rank-0) cards at 85% penetration of a 1-deck (52-card) shoe leaves 1 Rank-0 cards inside a 8-card stub (DEP009), producing 45.9632% Banker wins, 44.5210% Player wins, 9.5158% Ties, and a 0.8112% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (BBPPBPTBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP009 (1D 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.
Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.
85% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
15 10, Jack, Queen, and King (zero-point cards) removed from the 1D pack.
Resolved at 45.9632% Banker win rate under EZ Baccarat settlement.
Resolved at 44.5210% Player win rate with 0.9380 unit standard deviation.
Produces a 14.3578% house hold on the 8-to-1 Tie wager in state DEP009.
Across 14,658,134,400 initial 1D permutations, depletion node DEP009 narrows to a 8-card stub (85% depth) holding 1 of 16 Rank-0 cards, where Banker resolves at 45.9632% (-0.8112% EV) and Player at 44.5210% (-1.4422% EV).
Combinatorial weighting in DEP009 (8 cards left from 52 at 85% depth) is governed by two rules: depleting zero-point cards reduces (dep009) modulo-10 standoffs and alters two-card (1d-85%) natural combinations paired with 8s (dep009·1d-85%) and 9s, and at 85% cut-card penetration, (dep009-1d) only 15% of the pack (1/16) remains and winning 3-card banker (dep009-1d·1/16) 7 hands push (+0.18 bps per Rank-0 removed).
| Wager / Metric | State DEP009 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP009 Banker (EZ Bar-7) | 45.9632% (-0.8112% EV) | 45.9595% | DEP009 1D 85% (1 Rank-0) |
| DEP009 Player (1:1) | 44.5210% (-1.4422% EV) | 44.5249% | DEP009 8-card 1D stub (0.9380 SD) |
| DEP009 Tie (8:1) | 9.5158% (-14.3578% EV) | 9.5156% | DEP009 Rank-0 (15 out, 1 in) |
In DEP009, the 8-card 1D stub (85% penetration, 15 of 16 Rank-0 dealt) yields 45.9632% Banker, 44.5210% Player, and 9.5158% Tie outcomes with 0.9380 dispersion under EZ Bar-7.
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