Removing 7 of 16 Six-Pip Card (Rank-6) cards at 40% penetration of a 4-deck (208-card) shoe leaves 9 Rank-6 cards inside a 125-card stub (DEP237), producing 45.8711% Banker wins, 44.5871% Player wins, 9.5418% Ties, and a 0.5509% Banker house edge under 4%.
Reference shoe scoreboard (BBPPBPBBPPBPBBPPBP) illustrating derived-road symmetry checks alongside DEP237 (4D Rank-6 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.
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.
40% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
7 6-pip cards (standing threshold and Banker 6 trigger) removed from the 4D pack.
Resolved at 45.8711% Banker win rate under 4% settlement.
Resolved at 44.5871% Player win rate with 0.9353 unit standard deviation.
Produces a 14.1241% house hold on the 8-to-1 Tie wager in state DEP237.
Shoe-stub analysis DEP237 inspects 125 remaining cards at 40% penetration of a 208-card (4D) pack after 7 Six-Pip Card cards have cleared, leaving 9 Rank-6 cards and a 0.5509% 4% Banker edge.
When 7 Rank-6 cards exit a 4D shoe by 40% penetration (DEP237, 9 left in 125 cards), removing 6-pip cards produces (dep237-rank-6) the strongest per-card shift toward (125c) the player side and reduces (dep237-rank-6·125c) barred banker 6 incidence, combining a -1.13 bps rank vector with 4% settlement (-0.5509% Banker EV).
| Wager / Metric | State DEP237 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP237 Banker (4% Vig) | 45.8711% (-0.5509% EV) | 45.8732% | DEP237 4D 40% (9 Rank-6) |
| DEP237 Player (1:1) | 44.5871% (-1.2839% EV) | 44.5850% | DEP237 125-card 4D stub (0.9353 SD) |
| DEP237 Tie (8:1) | 9.5418% (-14.1241% EV) | 9.5418% | DEP237 Rank-6 (7 out, 9 in) |
For DEP237 (125 remaining cards in a 208-card 4D shoe at 40% depth), tracking all 7 exited Rank-6 cards moves Banker win rate to 45.8711% (-0.5509% EV, 4% Vig) and Player to 44.5871% (-1.2839% EV).
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