Removing 2 of 16 Four-Pip Card (Rank-4) cards at 10% penetration of a 4-deck (208-card) shoe leaves 14 Rank-4 cards inside a 187-card stub (DEP217), producing 45.8737% Banker wins, 44.5845% Player wins, 9.5418% Ties, and a 1.0044% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBPTBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP217 (4D Rank-4 at 10% 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.
10% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
2 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 4D pack.
Resolved at 45.8737% Banker win rate under 5% settlement.
Resolved at 44.5845% Player win rate with 0.9317 unit standard deviation.
Produces a 14.1237% house hold on the 8-to-1 Tie wager in state DEP217.
Card-removal benchmark DEP217 measures Four-Pip Card (Rank-4) scarcity at 10% depth in a 4-deck shoe: 2 removed ranks leave 14 in the 187-card remainder, shifting Banker win share to 45.8737% (1.0044% edge, 5% Vig).
Rank 4 sits at (DEP217) the exact pivot where Banker (4D-10%) 5 begins drawing (Player third (DEP217·4D-10%) card 4–7) while Banker 3 and 4 also draw. In state DEP217 (4D, 10% depth), each removed Rank-4 card applies a +1.19 bps baseline directional pressure before scaling to the 187-card remainder (14 Rank-4 left), while Winning Banker tickets pay (DEP217-4D) 0.95 units per unit staked (14/16) while 90% of the initial (DEP217-4D·14/16) shoe remains undealt.
| Wager / Metric | State DEP217 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP217 Banker (5% Vig) | 45.8737% (-1.0044% EV) | 45.8732% | DEP217 4D 10% (14 Rank-4) |
| DEP217 Player (1:1) | 44.5845% (-1.2892% EV) | 44.5850% | DEP217 187-card 4D stub (0.9317 SD) |
| DEP217 Tie (8:1) | 9.5418% (-14.1237% EV) | 9.5418% | DEP217 Rank-4 (2 out, 14 in) |
Synthesizing DEP217 (4D at 10% depth, 14 Four-Pip Card cards left inside 187 stub cards): 5% rules produce a 1.0044% Banker edge, 1.2892% Player edge, 14.1237% Tie edge, and 0.9317 unit volatility.
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