Removing 13 of 16 Four-Pip Card (Rank-4) cards at 70% penetration of a 4-deck (208-card) shoe leaves 3 Rank-4 cards inside a 62-card stub (DEP222), producing 45.8781% Banker wins, 44.5800% Player wins, 9.5419% Ties, and a 0.9958% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPBPPBBPBPPBBPB) illustrating derived-road symmetry checks alongside DEP222 (4D Rank-4 at 70% 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.
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.
70% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
13 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 4D pack.
Resolved at 45.8781% Banker win rate under 5% settlement.
Resolved at 44.5800% Player win rate with 0.9377 unit standard deviation.
Produces a 14.1231% house hold on the 8-to-1 Tie wager in state DEP222.
Exact conditional enumeration DEP222 for a 4D shoe at 70% depth (62/208 cards undealt) with 3 remaining Rank-4 cards confirms a 0.9958% Banker edge (5% Vig), 1.2981% Player edge, and 14.1231% Tie edge.
Tracking DEP222 across 62 remaining 4D cards (70% depth) shows that removing 4s produces the (dep222-rank-4) single largest per-card shift toward (62c) banker (and away from player) (dep222-rank-4·62c) of any rank in the shoe. With 13 Rank-4 cards gone (+1.19 bps unit sensitivity), Banker expectation is -0.9958% (5% Vig) vs -1.2981% on Player.
| Wager / Metric | State DEP222 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP222 Banker (5% Vig) | 45.8781% (-0.9958% EV) | 45.8732% | DEP222 4D 70% (3 Rank-4) |
| DEP222 Player (1:1) | 44.5800% (-1.2981% EV) | 44.5850% | DEP222 62-card 4D stub (0.9377 SD) |
| DEP222 Tie (8:1) | 9.5419% (-14.1231% EV) | 9.5418% | DEP222 Rank-4 (13 out, 3 in) |
For DEP222 (62 remaining cards in a 208-card 4D shoe at 70% depth), tracking all 13 exited Rank-4 cards moves Banker win rate to 45.8781% (-0.9958% EV, 5% Vig) and Player to 44.5800% (-1.2981% EV).
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