Removing 9 of 16 Seven-Pip Card (Rank-7) cards at 50% penetration of a 4-deck (208-card) shoe leaves 7 Rank-7 cards inside a 104-card stub (DEP247), producing 45.8711% Banker wins, 44.5872% Player wins, 9.5417% Ties, and a 1.4091% Banker house edge under Super 6.
Reference shoe scoreboard (BBPPBBPBPBPPBBPPBP) illustrating derived-road symmetry checks alongside DEP247 (4D Rank-7 at 50% 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.
50% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
9 7-pip cards (Player stand total and Dragon 7 boundary) removed from the 4D pack.
Resolved at 45.8711% Banker win rate under Super 6 settlement.
Resolved at 44.5872% Player win rate with 0.9366 unit standard deviation.
Produces a 14.1243% house hold on the 8-to-1 Tie wager in state DEP247.
Across 7,673,190,695,193,600 initial 4D permutations, depletion node DEP247 narrows to a 104-card stub (50% depth) holding 7 of 16 Rank-7 cards, where Banker resolves at 45.8711% (-1.4091% EV) and Player at 44.5872% (-1.2839% EV).
Combinatorial weighting in DEP247 (104 cards left from 208 at 50% depth) is governed by two rules: player stands pat on (dep247) two-card 7, and a player (4d-50%) third-card 7 is the highest (dep247·4d-50%) card that forces banker 4, 5, and 6 to draw, and banker wins on totals (dep247-4d) 1–5 and 7–9 pay 1:1 (7/16) while any winning 2-card or (dep247-4d·7/16) 3-card banker 6 pays 50 cents on the dollar (-0.83 bps per Rank-7 removed).
| Wager / Metric | State DEP247 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP247 Banker (Super 6) | 45.8711% (-1.4091% EV) | 45.8732% | DEP247 4D 50% (7 Rank-7) |
| DEP247 Player (1:1) | 44.5872% (-1.2839% EV) | 44.5850% | DEP247 104-card 4D stub (0.9366 SD) |
| DEP247 Tie (8:1) | 9.5417% (-14.1243% EV) | 9.5418% | DEP247 Rank-7 (9 out, 7 in) |
Synthesizing DEP247 (4D at 50% depth, 7 Seven-Pip Card cards left inside 104 stub cards): Super 6 rules produce a 1.4091% Banker edge, 1.2839% Player edge, 14.1243% Tie edge, and 0.9366 unit volatility.
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