Removing 15 of 16 Ace (1-Point Pip) (Ace-1) cards at 85% penetration of a 4-deck (208-card) shoe leaves 1 Ace-1 cards inside a 31-card stub (DEP198), producing 45.8755% Banker wins, 44.5827% Player wins, 9.5419% Ties, and a 0.9606% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (PPBBBPPPBBPBTBPBPP) illustrating derived-road symmetry checks alongside DEP198 (4D Ace-1 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 Ace cards valued at 1 modulo-10 point removed from the 4D pack.
Resolved at 45.8755% Banker win rate under EZ Baccarat settlement.
Resolved at 44.5827% Player win rate with 0.9383 unit standard deviation.
Produces a 14.1233% house hold on the 8-to-1 Tie wager in state DEP198.
In combinatorial record DEP198, depleting 15 Ace-1 cards across 85% of a 4D (208-card) pack leaves 1 Ace (1-Point Pip) cards among 31 remaining cards, setting Banker win probability to 45.8755% and house edge to 0.9606% (EZ Bar-7).
For DEP198 (4-deck shoe, 85% dealt), removing aces slightly favors (dep198) banker because banker stands on (4d-85%) 6 against player third-card ace (dep198·4d-85%) while player must draw on 0–5. Holding 1 of 16 Ace-1 cards in a 31-card stub with +0.44 bps rank slope yields 45.8755% Banker, 44.5827% Player, and 9.5419% Tie.
| Wager / Metric | State DEP198 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP198 Banker (EZ Bar-7) | 45.8755% (-0.9606% EV) | 45.8732% | DEP198 4D 85% (1 Ace-1) |
| DEP198 Player (1:1) | 44.5827% (-1.2928% EV) | 44.5850% | DEP198 31-card 4D stub (0.9383 SD) |
| DEP198 Tie (8:1) | 9.5419% (-14.1233% EV) | 9.5418% | DEP198 Ace-1 (15 out, 1 in) |
Whether DEP198 is observed in four-deck Asian VIP salons and compact automatic shuffler shoes at 85% depth (31/208 cards left, 1 Ace-1 remaining), EZ Bar-7 settlement locks Banker EV at -0.9606% and Player EV at -1.2928% with 9.5419% Ties.
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