Removing 52 of 64 0-Value Tens & Faces (Rank-0) cards at 70% penetration of a 4-deck (208-card) shoe leaves 12 Rank-0 cards inside a 62-card stub (DEP186), producing 45.8762% Banker wins, 44.5819% Player wins, 9.5420% Ties, and a 0.9995% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPBTBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP186 (4D Rank-0 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.
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.
70% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
52 10, Jack, Queen, and King (zero-point cards) removed from the 4D pack.
Resolved at 45.8762% Banker win rate under 5% settlement.
Resolved at 44.5819% Player win rate with 0.9365 unit standard deviation.
Produces a 14.1223% house hold on the 8-to-1 Tie wager in state DEP186.
Finite-shoe specification DEP186 tracks Rank-0 removal at 70% depth in 4-deck play: with 12 of 64 0-Value Tens & Faces cards left in the 62-card stub, Tie incidence is 9.5420% and Banker expectation settles at -0.9995% (5% Vig).
Depleting zero-point cards reduces (DEP186) modulo-10 standoffs and alters two-card (4D-70%) natural combinations paired with 8s (DEP186·4D-70%) and 9s. In state DEP186 (4D, 70% depth), each removed Rank-0 card applies a +0.18 bps baseline directional pressure before scaling to the 62-card remainder (12 Rank-0 left), while With 70% of cards (DEP186-4D) dealt and 30% remaining ahead (12/64) of the cut card, winning (DEP186-4D·12/64) Banker bets pay 0.95 to 1.
| Wager / Metric | State DEP186 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP186 Banker (5% Vig) | 45.8762% (-0.9995% EV) | 45.8732% | DEP186 4D 70% (12 Rank-0) |
| DEP186 Player (1:1) | 44.5819% (-1.2943% EV) | 44.5850% | DEP186 62-card 4D stub (0.9365 SD) |
| DEP186 Tie (8:1) | 9.5420% (-14.1223% EV) | 9.5418% | DEP186 Rank-0 (52 out, 12 in) |
Comparing DEP186 (70% 4D depth, 52 Rank-0 removed, 12 remaining in 62 cards) against fresh-shoe baselines shows how finite-stub variance (0.9365 SD) coexists with a 0.9995% 5% Banker house edge.
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