Removing 7 of 16 Five-Pip Card (Rank-5) cards at 40% penetration of a 4-deck (208-card) shoe leaves 9 Rank-5 cards inside a 125-card stub (DEP228), producing 45.8716% Banker wins, 44.5866% Player wins, 9.5418% Ties, and a 0.5498% Banker house edge under 4%.
Reference shoe scoreboard (PPBBPBPBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP228 (4D Rank-5 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 5-pip cards (final mandatory Player draw threshold) removed from the 4D pack.
Resolved at 45.8716% Banker win rate under 4% settlement.
Resolved at 44.5866% Player win rate with 0.9350 unit standard deviation.
Produces a 14.1241% house hold on the 8-to-1 Tie wager in state DEP228.
Finite-shoe specification DEP228 tracks Rank-5 removal at 40% depth in 4-deck play: with 9 of 16 Five-Pip Card cards left in the 125-card stub, Tie incidence is 9.5418% and Banker expectation settles at -0.5498% (4% Vig).
Because Player draws on (DEP228) two-card 5 and stands on (4D-40%) 6, while Banker 3, 4, (DEP228·4D-40%) and 5 all draw against a Player third-card 5, rank 5 favors Player when depleted. In state DEP228 (4D, 40% depth), each removed Rank-5 card applies a -0.84 bps baseline directional pressure before scaling to the 125-card remainder (9 Rank-5 left), while Winning Banker wagers collect (DEP228-4D) 0.96 units per unit staked (9/16) with 60% of the shoe (DEP228-4D·9/16) still inside the acrylic carrier.
| Wager / Metric | State DEP228 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP228 Banker (4% Vig) | 45.8716% (-0.5498% EV) | 45.8732% | DEP228 4D 40% (9 Rank-5) |
| DEP228 Player (1:1) | 44.5866% (-1.2850% EV) | 44.5850% | DEP228 125-card 4D stub (0.9350 SD) |
| DEP228 Tie (8:1) | 9.5418% (-14.1241% EV) | 9.5418% | DEP228 Rank-5 (7 out, 9 in) |
Whether DEP228 is observed in four-deck Asian VIP salons and compact automatic shuffler shoes at 40% depth (125/208 cards left, 9 Rank-5 remaining), 4% Vig settlement locks Banker EV at -0.5498% and Player EV at -1.2850% with 9.5418% Ties.
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