Removing 14 of 16 Eight-Pip Card (Rank-8) cards at 75% penetration of a 4-deck (208-card) shoe leaves 2 Rank-8 cards inside a 52-card stub (DEP259), producing 45.8709% Banker wins, 44.5874% Player wins, 9.5417% Ties, and a 0.5513% Banker house edge under 4%.
Reference shoe scoreboard (BBPPBPBPBBPPBPBPBB) illustrating derived-road symmetry checks alongside DEP259 (4D Rank-8 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.
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.
75% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
14 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 4D pack.
Resolved at 45.8709% Banker win rate under 4% settlement.
Resolved at 44.5874% Player win rate with 0.9394 unit standard deviation.
Produces a 14.1246% house hold on the 8-to-1 Tie wager in state DEP259.
Card-removal benchmark DEP259 measures Eight-Pip Card (Rank-8) scarcity at 75% depth in a 4-deck shoe: 14 removed ranks leave 2 in the 52-card remainder, shifting Banker win share to 45.8709% (0.5513% edge, 4% Vig).
When 14 Rank-8 cards exit a 4D shoe by 75% penetration (DEP259, 2 left in 52 cards), depleting 8-pip cards also (dep259-rank-8) lowers two-card natural 8 lockouts (52c) when paired with zero-point tens (dep259-rank-8·52c) and court cards, combining a -0.50 bps rank vector with 4% settlement (-0.5513% Banker EV).
| Wager / Metric | State DEP259 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP259 Banker (4% Vig) | 45.8709% (-0.5513% EV) | 45.8732% | DEP259 4D 75% (2 Rank-8) |
| DEP259 Player (1:1) | 44.5874% (-1.2836% EV) | 44.5850% | DEP259 52-card 4D stub (0.9394 SD) |
| DEP259 Tie (8:1) | 9.5417% (-14.1246% EV) | 9.5418% | DEP259 Rank-8 (14 out, 2 in) |
In DEP259, the 52-card 4D stub (75% penetration, 14 of 16 Rank-8 dealt) yields 45.8709% Banker, 44.5874% Player, and 9.5417% Tie outcomes with 0.9394 dispersion under 4% Vig.
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