Removing 31 of 32 Three-Pip (Trey) (Rank-3) cards at 85% penetration of a 8-deck (416-card) shoe leaves 1 Rank-3 cards inside a 62-card stub (DEP396), producing 45.8631% Banker wins, 44.6212% Player wins, 9.5157% Ties, and a 1.0114% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (PPBBPPPPBBBBPPBBPB) illustrating derived-road symmetry checks alongside DEP396 (8D Rank-3 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 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
31 3-pip cards across all four suits removed from the 8D pack.
Resolved at 45.8631% Banker win rate under EZ Baccarat settlement.
Resolved at 44.6212% Player win rate with 0.9389 unit standard deviation.
Produces a 14.3586% house hold on the 8-to-1 Tie wager in state DEP396.
Finite-shoe specification DEP396 tracks Rank-3 removal at 85% depth in 8-deck play: with 1 of 32 Three-Pip (Trey) cards left in the 62-card stub, Tie incidence is 9.5157% and Banker expectation settles at -1.0114% (EZ Bar-7).
In six-card resolution tree DEP396 (8D at 85% depth, 62 cards left), each removed 3-pip card (dep396-rank-3) modifies the boundary between banker (62c) standing on 5 and drawing (dep396-rank-3·62c) against mid-range player pulls; removing 31 of 32 Rank-3 cards (+0.65 bps weight) leaves Banker at -1.0114% EV under EZ Baccarat.
| Wager / Metric | State DEP396 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP396 Banker (EZ Bar-7) | 45.8631% (-1.0114% EV) | 45.8597% | DEP396 8D 85% (1 Rank-3) |
| DEP396 Player (1:1) | 44.6212% (-1.2420% EV) | 44.6247% | DEP396 62-card 8D stub (0.9389 SD) |
| DEP396 Tie (8:1) | 9.5157% (-14.3586% EV) | 9.5156% | DEP396 Rank-3 (31 out, 1 in) |
In studio and floor audits of DEP396 (62 cards undealt out of 416 in 8D at 85% depth), a 0.9389 unit standard deviation accompanies the 1-card Rank-3 stub under EZ Bar-7 (45.8631% Banker vs 44.6212% Player).
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