Removing 15 of 16 Five-Pip Card (Rank-5) cards at 80% penetration of a 4-deck (208-card) shoe leaves 1 Rank-5 cards inside a 42-card stub (DEP233), producing 45.8690% Banker wins, 44.5893% Player wins, 9.5417% Ties, and a 1.4133% Banker house edge under Super 6.
Reference shoe scoreboard (BBPPBPTBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP233 (4D Rank-5 at 80% 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 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.
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.
80% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
15 5-pip cards (final mandatory Player draw threshold) removed from the 4D pack.
Resolved at 45.8690% Banker win rate under Super 6 settlement.
Resolved at 44.5893% Player win rate with 0.9390 unit standard deviation.
Produces a 14.1247% house hold on the 8-to-1 Tie wager in state DEP233.
Across 7,673,190,695,193,600 initial 4D permutations, depletion node DEP233 narrows to a 42-card stub (80% depth) holding 1 of 16 Rank-5 cards, where Banker resolves at 45.8690% (-1.4133% EV) and Player at 44.5893% (-1.2797% EV).
Tracking DEP233 across 42 remaining 4D cards (80% depth) shows that fewer 5s in the (dep233-rank-5) stub reduce banker third-card improvements (42c) from 3 to 8 and (dep233-rank-5·42c) from 4 to 9. With 15 Rank-5 cards gone (-0.84 bps unit sensitivity), Banker expectation is -1.4133% (Super 6) vs -1.2797% on Player.
| Wager / Metric | State DEP233 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP233 Banker (Super 6) | 45.8690% (-1.4133% EV) | 45.8732% | DEP233 4D 80% (1 Rank-5) |
| DEP233 Player (1:1) | 44.5893% (-1.2797% EV) | 44.5850% | DEP233 42-card 4D stub (0.9390 SD) |
| DEP233 Tie (8:1) | 9.5417% (-14.1247% EV) | 9.5418% | DEP233 Rank-5 (15 out, 1 in) |
Learners auditing DEP233 (4D at 80% depth, 1/16 Rank-5 in 42 stub cards) can verify that Super 6 house hold (1.4133% Banker, 1.2797% Player, 14.1247% Tie) operates independently of prior Big Road streaks.
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