Removing 13 of 16 Six-Pip Card (Rank-6) cards at 70% penetration of a 4-deck (208-card) shoe leaves 3 Rank-6 cards inside a 62-card stub (DEP240), producing 45.8685% Banker wins, 44.5897% Player wins, 9.5417% Ties, and a 1.0146% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPPBBPPBBPBTBPB) illustrating derived-road symmetry checks alongside DEP240 (4D Rank-6 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 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.
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.
70% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
13 6-pip cards (standing threshold and Banker 6 trigger) removed from the 4D pack.
Resolved at 45.8685% Banker win rate under 5% settlement.
Resolved at 44.5897% Player win rate with 0.9383 unit standard deviation.
Produces a 14.1245% house hold on the 8-to-1 Tie wager in state DEP240.
In combinatorial record DEP240, depleting 13 Rank-6 cards across 70% of a 4D (208-card) pack leaves 3 Six-Pip Card cards among 62 remaining cards, setting Banker win probability to 45.8685% and house edge to 1.0146% (5% Vig).
Removing 6-pip cards produces (DEP240-Rank-6) the strongest per-card shift toward (62c) the Player side and reduces (DEP240-Rank-6·62c) barred Banker 6 incidence. Because 13 of 16 Six-Pip Card cards are absent in DEP240 at 70% 4D penetration (62 cards left), per-card sensitivity (-1.13 bps) interacts directly with late-shoe 70% penetration depth (DEP240) under standard 5% Banker commission (Rank-6) (0.95:1 payout).
| Wager / Metric | State DEP240 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP240 Banker (5% Vig) | 45.8685% (-1.0146% EV) | 45.8732% | DEP240 4D 70% (3 Rank-6) |
| DEP240 Player (1:1) | 44.5897% (-1.2788% EV) | 44.5850% | DEP240 62-card 4D stub (0.9383 SD) |
| DEP240 Tie (8:1) | 9.5417% (-14.1245% EV) | 9.5418% | DEP240 Rank-6 (13 out, 3 in) |
Comparing DEP240 (70% 4D depth, 13 Rank-6 removed, 3 remaining in 62 cards) against fresh-shoe baselines shows how finite-stub variance (0.9383 SD) coexists with a 1.0146% 5% Banker house edge.
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