Removing 3 of 4 Five-Pip Card (Rank-5) cards at 85% penetration of a 1-deck (52-card) shoe leaves 1 Rank-5 cards inside a 8-card stub (DEP054), producing 45.9561% Banker wins, 44.5284% Player wins, 9.5155% Ties, and a 0.8258% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (PPBBBPPPBBPBTBPBPP) illustrating derived-road symmetry checks alongside DEP054 (1D Rank-5 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 1D (single-deck laboratory benchmarks and historical pitch audits).
3 5-pip cards (final mandatory Player draw threshold) removed from the 1D pack.
Resolved at 45.9561% Banker win rate under EZ Baccarat settlement.
Resolved at 44.5284% Player win rate with 0.9395 unit standard deviation.
Produces a 14.3603% house hold on the 8-to-1 Tie wager in state DEP054.
Exact conditional enumeration DEP054 for a 1D shoe at 85% depth (8/52 cards undealt) with 1 remaining Rank-5 cards confirms a 0.8258% Banker edge (EZ Bar-7), 1.4276% Player edge, and 14.3603% Tie edge.
For DEP054 (1-deck shoe, 85% dealt), because player draws on (dep054) two-card 5 and stands on (1d-85%) 6, while banker 3, 4, (dep054·1d-85%) and 5 all draw against a player third-card 5, rank 5 favors player when depleted. Holding 1 of 4 Rank-5 cards in a 8-card stub with -0.84 bps rank slope yields 45.9561% Banker, 44.5284% Player, and 9.5155% Tie.
| Wager / Metric | State DEP054 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP054 Banker (EZ Bar-7) | 45.9561% (-0.8258% EV) | 45.9595% | DEP054 1D 85% (1 Rank-5) |
| DEP054 Player (1:1) | 44.5284% (-1.4276% EV) | 44.5249% | DEP054 8-card 1D stub (0.9395 SD) |
| DEP054 Tie (8:1) | 9.5155% (-14.3603% EV) | 9.5156% | DEP054 Rank-5 (3 out, 1 in) |
In DEP054, the 8-card 1D stub (85% penetration, 3 of 4 Rank-5 dealt) yields 45.9561% Banker, 44.5284% Player, and 9.5155% Tie outcomes with 0.9395 dispersion under EZ Bar-7.
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