Removing 9 of 16 Three-Pip (Trey) (Rank-3) cards at 50% penetration of a 4-deck (208-card) shoe leaves 7 Rank-3 cards inside a 104-card stub (DEP211), producing 45.8749% Banker wins, 44.5833% Player wins, 9.5419% Ties, and a 1.4014% Banker house edge under Super 6.
Reference shoe scoreboard (BBPPBPBPBBPPBPBPBB) illustrating derived-road symmetry checks alongside DEP211 (4D Rank-3 at 50% 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.
Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.
Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.
50% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
9 3-pip cards across all four suits removed from the 4D pack.
Resolved at 45.8749% Banker win rate under Super 6 settlement.
Resolved at 44.5833% Player win rate with 0.9354 unit standard deviation.
Produces a 14.1233% house hold on the 8-to-1 Tie wager in state DEP211.
Audit DEP211 evaluates a 4-deck (208-card) shoe at 50% penetration where 9 of 16 Three-Pip (Trey) cards have exited, leaving 7 Rank-3 cards inside the 104-card stub with Banker EV at -1.4014% under Super 6.
Combinatorial weighting in DEP211 (104 cards left from 208 at 50% depth) is governed by two rules: banker total 4 draws (dep211) on player third-card 3, and (4d-50%) banker total 5 stands on (dep211·4d-50%) player third-card 3, creating asymmetric sensitivity, and banker wins on totals (dep211-4d) 1–5 and 7–9 pay 1:1 (7/16) while any winning 2-card or (dep211-4d·7/16) 3-card banker 6 pays 50 cents on the dollar (+0.65 bps per Rank-3 removed).
| Wager / Metric | State DEP211 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP211 Banker (Super 6) | 45.8749% (-1.4014% EV) | 45.8732% | DEP211 4D 50% (7 Rank-3) |
| DEP211 Player (1:1) | 44.5833% (-1.2916% EV) | 44.5850% | DEP211 104-card 4D stub (0.9354 SD) |
| DEP211 Tie (8:1) | 9.5419% (-14.1233% EV) | 9.5418% | DEP211 Rank-3 (9 out, 7 in) |
Cut-card protocol at 50% depth in DEP211 (4D, 104 stub cards containing 7 Rank-3 cards) ensures the shoe reshuffles long before Super 6 house hold (1.4014% Banker / 1.2916% Player) is overturned.
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