Removing 7 of 16 Two-Pip (Deuce) (Rank-2) cards at 40% penetration of a 4-deck (208-card) shoe leaves 9 Rank-2 cards inside a 125-card stub (DEP201), producing 45.8742% Banker wins, 44.5840% Player wins, 9.5418% Ties, and a 0.5448% Banker house edge under 4%.
Reference shoe scoreboard (BBPPBPTBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP201 (4D Rank-2 at 40% 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.
40% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
7 2-pip cards across all four suits removed from the 4D pack.
Resolved at 45.8742% Banker win rate under 4% settlement.
Resolved at 44.5840% Player win rate with 0.9341 unit standard deviation.
Produces a 14.1235% house hold on the 8-to-1 Tie wager in state DEP201.
At 40% penetration of a 208-card (4D) shoe, state DEP201 isolates 7 dealt Rank-2 cards (9 remaining inside 125 stub cards), yielding 45.8742% Banker wins, 44.5840% Player wins, and 0.9341 per-hand standard deviation under 4%.
When 7 Rank-2 cards exit a 4D shoe by 40% penetration (DEP201, 9 left in 125 cards), depleting 2s shifts the (dep201-rank-2) probability of banker converting a (125c) two-card 4 or 5 into (dep201-rank-2·125c) a winning three-card 6 or 7, combining a +0.52 bps rank vector with 4% settlement (-0.5448% Banker EV).
| Wager / Metric | State DEP201 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP201 Banker (4% Vig) | 45.8742% (-0.5448% EV) | 45.8732% | DEP201 4D 40% (9 Rank-2) |
| DEP201 Player (1:1) | 44.5840% (-1.2902% EV) | 44.5850% | DEP201 125-card 4D stub (0.9341 SD) |
| DEP201 Tie (8:1) | 9.5418% (-14.1235% EV) | 9.5418% | DEP201 Rank-2 (7 out, 9 in) |
Statistical verification of DEP201 (4D, 40% penetration, 9 Two-Pip (Deuce) cards in 125 stub cards) demonstrates why single-rank depletion (7 Rank-2 dealt) shifts edges by basis points around -0.5448% (4% Vig).
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