Removing 7 of 8 Ace (1-Point Pip) (Ace-1) cards at 85% penetration of a 2-deck (104-card) shoe leaves 1 Ace-1 cards inside a 16-card stub (DEP108), producing 45.9019% Banker wins, 44.5654% Player wins, 9.5326% Ties, and a 0.9169% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (PPBBPPPPBBBBPPBBPB) illustrating derived-road symmetry checks alongside DEP108 (2D Ace-1 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 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.
85% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
7 Ace cards valued at 1 modulo-10 point removed from the 2D pack.
Resolved at 45.9019% Banker win rate under EZ Baccarat settlement.
Resolved at 44.5654% Player win rate with 0.9383 unit standard deviation.
Produces a 14.2062% house hold on the 8-to-1 Tie wager in state DEP108.
Depletion matrix entry DEP108 pairs 2D (104 cards) at 85% penetration with 7 removed Ace (1-Point Pip) cards (1 left in 16 cards), fixing per-hand volatility at 0.9383 and Banker house hold at 0.9169% (EZ Bar-7).
Under the fixed third-card tableau for DEP108, removing aces slightly favors (dep108) banker because banker stands on (2d-85%) 6 against player third-card ace (dep108·2d-85%) while player must draw on 0–5. With 1 Ace-1 cards inside 16 remaining 2D cards (85% dealt), single-card slope (+0.44 bps) keeps Banker house edge at 0.9169% and Player at 1.3365%.
| Wager / Metric | State DEP108 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP108 Banker (EZ Bar-7) | 45.9019% (-0.9169% EV) | 45.8998% | DEP108 2D 85% (1 Ace-1) |
| DEP108 Player (1:1) | 44.5654% (-1.3365% EV) | 44.5676% | DEP108 16-card 2D stub (0.9383 SD) |
| DEP108 Tie (8:1) | 9.5326% (-14.2062% EV) | 9.5326% | DEP108 Ace-1 (7 out, 1 in) |
For DEP108 (16 remaining cards in a 104-card 2D shoe at 85% depth), tracking all 7 exited Ace-1 cards moves Banker win rate to 45.9019% (-0.9169% EV, EZ Bar-7) and Player to 44.5654% (-1.3365% EV).
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