Removing 3 of 4 Nine-Pip Card (Rank-9) cards at 85% penetration of a 1-deck (52-card) shoe leaves 1 Rank-9 cards inside a 8-card stub (DEP090), producing 45.9586% Banker wins, 44.5259% Player wins, 9.5156% Ties, and a 0.8207% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (PPBBPBTBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP090 (1D 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.
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.
85% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
3 9-pip cards (top Natural 9 generator) removed from the 1D pack.
Resolved at 45.9586% Banker win rate under EZ Baccarat settlement.
Resolved at 44.5259% Player win rate with 0.9407 unit standard deviation.
Produces a 14.3600% house hold on the 8-to-1 Tie wager in state DEP090.
Under EZ Baccarat settlement (EZ Bar-7), combinatorial state DEP090 models a 1D carrier with 8 cards left (85% dealt) and 1/4 Nine-Pip Card cards remaining, producing a 0.8207% Banker edge versus 1.4327% on Player.
When 3 Rank-9 cards exit a 1D shoe by 85% penetration (DEP090, 1 left in 8 cards), when 9s are depleted (dep090-rank-9) late in the shoe, more (8c) hands bypass four-card natural resolution (dep090-rank-9·8c) and enter the five- and six-card tableau, combining a -0.23 bps rank vector with EZ Baccarat settlement (-0.8207% Banker EV).
| Wager / Metric | State DEP090 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP090 Banker (EZ Bar-7) | 45.9586% (-0.8207% EV) | 45.9595% | DEP090 1D 85% (1 Rank-9) |
| DEP090 Player (1:1) | 44.5259% (-1.4327% EV) | 44.5249% | DEP090 8-card 1D stub (0.9407 SD) |
| DEP090 Tie (8:1) | 9.5156% (-14.3600% EV) | 9.5156% | DEP090 Rank-9 (3 out, 1 in) |
Across 100-hand session horizons at state DEP090 (1D 85% depth, 1/4 Rank-9 in 8 cards), single-hand dispersion (0.9407 SD) dominates the 0.8207% (EZ Bar-7) Banker and 1.4327% Player expectation gap.
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