Removing 28 of 32 Three-Pip (Trey) (Rank-3) cards at 75% penetration of a 8-deck (416-card) shoe leaves 4 Rank-3 cards inside a 104-card stub (DEP394), producing 45.8627% Banker wins, 44.6217% Player wins, 9.5157% Ties, and a 0.5935% Banker house edge under 4%.
Reference shoe scoreboard (PPBBPBTBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP394 (8D Rank-3 at 75% 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.
75% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
28 3-pip cards across all four suits removed from the 8D pack.
Resolved at 45.8627% Banker win rate under 4% settlement.
Resolved at 44.6217% Player win rate with 0.9379 unit standard deviation.
Produces a 14.3588% house hold on the 8-to-1 Tie wager in state DEP394.
In combinatorial record DEP394, depleting 28 Rank-3 cards across 75% of a 8D (416-card) pack leaves 4 Three-Pip (Trey) cards among 104 remaining cards, setting Banker win probability to 45.8627% and house edge to 0.5935% (4% Vig).
Because each removed 3-pip card (dep394-rank-3) modifies the boundary between banker (104c) standing on 5 and drawing (dep394-rank-3·104c) against mid-range player pulls, state DEP394 (75% 8D depth, 28 Rank-3 removed, 4 in 104 cards) registers a +0.65 bps rank derivative and 0.5935% Banker house edge (4% Vig).
| Wager / Metric | State DEP394 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP394 Banker (4% Vig) | 45.8627% (-0.5935% EV) | 45.8597% | DEP394 8D 75% (4 Rank-3) |
| DEP394 Player (1:1) | 44.6217% (-1.2410% EV) | 44.6247% | DEP394 104-card 8D stub (0.9379 SD) |
| DEP394 Tie (8:1) | 9.5157% (-14.3588% EV) | 9.5156% | DEP394 Rank-3 (28 out, 4 in) |
Across 100-hand session horizons at state DEP394 (8D 75% depth, 4/32 Rank-3 in 104 cards), single-hand dispersion (0.9379 SD) dominates the 0.5935% (4% Vig) Banker and 1.2410% Player expectation gap.
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