Removing 18 of 64 0-Value Tens & Faces (Rank-0) cards at 25% penetration of a 4-deck (208-card) shoe leaves 46 Rank-0 cards inside a 156-card stub (DEP182), producing 45.8740% Banker wins, 44.5842% Player wins, 9.5418% Ties, and a 1.0039% Banker house edge under 5%.
Reference shoe scoreboard (PPBBBPPPBBPBTBPBPP) illustrating derived-road symmetry checks alongside DEP182 (4D Rank-0 at 25% depth).
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 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.
25% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
18 10, Jack, Queen, and King (zero-point cards) removed from the 4D pack.
Resolved at 45.8740% Banker win rate under 5% settlement.
Resolved at 44.5842% Player win rate with 0.9320 unit standard deviation.
Produces a 14.1234% house hold on the 8-to-1 Tie wager in state DEP182.
Quantitative proof DEP182 documents 4D rank depletion at 25% depth: 18 exited Rank-0 cards leave 46 of 64 in the 156-card stub, generating 45.8740% Banker wins (-1.0039% EV under 5% Vig) and 44.5842% Player wins.
Mechanical draw trees in DEP182 reflect how fewer zero-value draws mean (dep182-rank-0) third-card pulls change running totals (156c) more frequently instead of leaving (dep182-rank-0·156c) totals unchanged. At 25% 4D depth (46 Rank-0 left of 64 in 156 cards, +0.18 bps slope), one-quarter of the shoe (dep182-4d) has exited the carrier and (46/64) winning banker wagers pay 0.95 (dep182-4d·46/64) to 1 after 5% house tax.
| Wager / Metric | State DEP182 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP182 Banker (5% Vig) | 45.8740% (-1.0039% EV) | 45.8732% | DEP182 4D 25% (46 Rank-0) |
| DEP182 Player (1:1) | 44.5842% (-1.2898% EV) | 44.5850% | DEP182 156-card 4D stub (0.9320 SD) |
| DEP182 Tie (8:1) | 9.5418% (-14.1234% EV) | 9.5418% | DEP182 Rank-0 (18 out, 46 in) |
In studio and floor audits of DEP182 (156 cards undealt out of 208 in 4D at 25% depth), a 0.9320 unit standard deviation accompanies the 46-card Rank-0 stub under 5% Vig (45.8740% Banker vs 44.5842% Player).
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