Removing 15 of 16 Nine-Pip Card (Rank-9) cards at 80% penetration of a 4-deck (208-card) shoe leaves 1 Rank-9 cards inside a 42-card stub (DEP269), producing 45.8720% Banker wins, 44.5862% Player wins, 9.5417% Ties, and a 1.4072% Banker house edge under Super 6.
Reference shoe scoreboard (BBPPBPBBPPBPBBPPBP) illustrating derived-road symmetry checks alongside DEP269 (4D Rank-9 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.
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.
80% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
15 9-pip cards (top Natural 9 generator) removed from the 4D pack.
Resolved at 45.8720% Banker win rate under Super 6 settlement.
Resolved at 44.5862% Player win rate with 0.9402 unit standard deviation.
Produces a 14.1243% house hold on the 8-to-1 Tie wager in state DEP269.
When a 4D shoe reaches 80% cut-card depth (42 of 208 cards undealt, state DEP269) with 15 Nine-Pip Card cards removed and 1 remaining, Player wins 44.5862% (1.2858% edge) while Banker wins 45.8720% (1.4072% edge under Super 6).
Combinatorial weighting in DEP269 (42 cards left from 208 at 80% depth) is governed by two rules: rank 9 paired with (dep269) any ten or face card (4d-80%) creates an unbeatable two-card natural (dep269·4d-80%) 9 that halts all third-card drawing on both sides, and only 20% of the (dep269-4d) initial shoe remains undealt while (1/16) winning banker 6 hands forfeit (dep269-4d·1/16) half their payout (-0.23 bps per Rank-9 removed).
| Wager / Metric | State DEP269 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP269 Banker (Super 6) | 45.8720% (-1.4072% EV) | 45.8732% | DEP269 4D 80% (1 Rank-9) |
| DEP269 Player (1:1) | 44.5862% (-1.2858% EV) | 44.5850% | DEP269 42-card 4D stub (0.9402 SD) |
| DEP269 Tie (8:1) | 9.5417% (-14.1243% EV) | 9.5418% | DEP269 Rank-9 (15 out, 1 in) |
Even at 80% penetration in DEP269 where 15 Rank-9 cards have exited a 4D shoe (1 left in 42 cards), derived-road red and blue entries measure structural regularity on the Big Road—not whether Banker (-1.4072% EV, Super 6) or Player (-1.2858% EV) is favored next.
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About 64 minutes of lessons covering outcomes, the Bead Plate, Big Road columns, and dragon tails.
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