Removing 5 of 16 Four-Pip Card (Rank-4) cards at 25% penetration of a 4-deck (208-card) shoe leaves 11 Rank-4 cards inside a 156-card stub (DEP218), producing 45.8746% Banker wins, 44.5835% Player wins, 9.5418% Ties, and a 1.0026% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPBTBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP218 (4D Rank-4 at 25% 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.
This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.
Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.
25% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
5 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 4D pack.
Resolved at 45.8746% Banker win rate under 5% settlement.
Resolved at 44.5835% Player win rate with 0.9332 unit standard deviation.
Produces a 14.1236% house hold on the 8-to-1 Tie wager in state DEP218.
Within four-deck Asian VIP salons and compact automatic shuffler shoes, profile DEP218 examines 25% shoe depletion (156 of 208 cards remaining) after 5 Rank-4 cards exit, leaving 11 Four-Pip Card cards and a 1.0026% Banker house hold under 5%.
Removing 4s produces the (DEP218-Rank-4) single largest per-card shift toward (156c) Banker (and away from Player) (DEP218-Rank-4·156c) of any rank in the shoe. Because 5 of 16 Four-Pip Card cards are absent in DEP218 at 25% 4D penetration (156 cards left), per-card sensitivity (+1.19 bps) interacts directly with quarter-shoe 25% penetration depth (DEP218) under standard 5% Banker commission (Rank-4) (0.95:1 payout).
| Wager / Metric | State DEP218 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP218 Banker (5% Vig) | 45.8746% (-1.0026% EV) | 45.8732% | DEP218 4D 25% (11 Rank-4) |
| DEP218 Player (1:1) | 44.5835% (-1.2911% EV) | 44.5850% | DEP218 156-card 4D stub (0.9332 SD) |
| DEP218 Tie (8:1) | 9.5418% (-14.1236% EV) | 9.5418% | DEP218 Rank-4 (5 out, 11 in) |
Learners auditing DEP218 (4D at 25% depth, 11/16 Rank-4 in 156 stub cards) can verify that 5% house hold (1.0026% Banker, 1.2911% Player, 14.1236% Tie) operates independently of prior Big Road streaks.
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