Removing 29 of 64 0-Value Tens & Faces (Rank-0) cards at 40% penetration of a 4-deck (208-card) shoe leaves 35 Rank-0 cards inside a 125-card stub (DEP183), producing 45.8746% Banker wins, 44.5835% Player wins, 9.5419% Ties, and a 0.5439% Banker house edge under 4%.
Reference shoe scoreboard (BBPPBBPBPBPPBBPPBP) illustrating derived-road symmetry checks alongside DEP183 (4D Rank-0 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 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 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.
40% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
29 10, Jack, Queen, and King (zero-point cards) removed from the 4D pack.
Resolved at 45.8746% Banker win rate under 4% settlement.
Resolved at 44.5835% Player win rate with 0.9335 unit standard deviation.
Produces a 14.1231% house hold on the 8-to-1 Tie wager in state DEP183.
Audit DEP183 evaluates a 4-deck (208-card) shoe at 40% penetration where 29 of 64 0-Value Tens & Faces cards have exited, leaving 35 Rank-0 cards inside the 125-card stub with Banker EV at -0.5439% under 4%.
Because fewer zero-value draws mean (dep183-rank-0) third-card pulls change running totals (125c) more frequently instead of leaving (dep183-rank-0·125c) totals unchanged, state DEP183 (40% 4D depth, 29 Rank-0 removed, 35 in 125 cards) registers a +0.18 bps rank derivative and 0.5439% Banker house edge (4% Vig).
| Wager / Metric | State DEP183 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP183 Banker (4% Vig) | 45.8746% (-0.5439% EV) | 45.8732% | DEP183 4D 40% (35 Rank-0) |
| DEP183 Player (1:1) | 44.5835% (-1.2911% EV) | 44.5850% | DEP183 125-card 4D stub (0.9335 SD) |
| DEP183 Tie (8:1) | 9.5419% (-14.1231% EV) | 9.5418% | DEP183 Rank-0 (29 out, 35 in) |
In studio and floor audits of DEP183 (125 cards undealt out of 208 in 4D at 40% depth), a 0.9335 unit standard deviation accompanies the 35-card Rank-0 stub under 4% Vig (45.8746% Banker vs 44.5835% Player).
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