Removing 55 of 64 0-Value Tens & Faces (Rank-0) cards at 75% penetration of a 4-deck (208-card) shoe leaves 9 Rank-0 cards inside a 52-card stub (DEP187), producing 45.8764% Banker wins, 44.5816% Player wins, 9.5420% Ties, and a 0.5402% Banker house edge under 4%.
Reference shoe scoreboard (BBPPBBBBPPPPBBPPBP) illustrating derived-road symmetry checks alongside DEP187 (4D Rank-0 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 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.
75% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
55 10, Jack, Queen, and King (zero-point cards) removed from the 4D pack.
Resolved at 45.8764% Banker win rate under 4% settlement.
Resolved at 44.5816% Player win rate with 0.9370 unit standard deviation.
Produces a 14.1222% house hold on the 8-to-1 Tie wager in state DEP187.
At 75% penetration of a 208-card (4D) shoe, state DEP187 isolates 55 dealt Rank-0 cards (9 remaining inside 52 stub cards), yielding 45.8764% Banker wins, 44.5816% Player wins, and 0.9370 per-hand standard deviation under 4%.
Fewer zero-value draws mean (DEP187-Rank-0) third-card pulls change running totals (52c) more frequently instead of leaving (DEP187-Rank-0·52c) totals unchanged. Because 55 of 64 0-Value Tens & Faces cards are absent in DEP187 at 75% 4D penetration (52 cards left), per-card sensitivity (+0.18 bps) interacts directly with three-quarter 75% penetration depth (DEP187) under reduced 4% Banker commission (Rank-0) (0.96:1 payout).
| Wager / Metric | State DEP187 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP187 Banker (4% Vig) | 45.8764% (-0.5402% EV) | 45.8732% | DEP187 4D 75% (9 Rank-0) |
| DEP187 Player (1:1) | 44.5816% (-1.2948% EV) | 44.5850% | DEP187 52-card 4D stub (0.9370 SD) |
| DEP187 Tie (8:1) | 9.5420% (-14.1222% EV) | 9.5418% | DEP187 Rank-0 (55 out, 9 in) |
Cut-card protocol at 75% depth in DEP187 (4D, 52 stub cards containing 9 Rank-0 cards) ensures the shoe reshuffles long before 4% house hold (0.5402% Banker / 1.2948% Player) is overturned.
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