Removing 15 of 32 Nine-Pip Card (Rank-9) cards at 40% penetration of a 8-deck (416-card) shoe leaves 17 Rank-9 cards inside a 250-card stub (DEP444), producing 45.8592% Banker wins, 44.6252% Player wins, 9.5156% Ties, and a 0.6003% Banker house edge under 4%.
Reference shoe scoreboard (PPBBPPPPBBBBPPBBPB) illustrating derived-road symmetry checks alongside DEP444 (8D Rank-9 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.
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.
40% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
15 9-pip cards (top Natural 9 generator) removed from the 8D pack.
Resolved at 45.8592% Banker win rate under 4% settlement.
Resolved at 44.6252% Player win rate with 0.9362 unit standard deviation.
Produces a 14.3598% house hold on the 8-to-1 Tie wager in state DEP444.
Depletion matrix entry DEP444 pairs 8D (416 cards) at 40% penetration with 15 removed Nine-Pip Card cards (17 left in 250 cards), fixing per-hand volatility at 0.9362 and Banker house hold at 0.6003% (4% Vig).
Rank 9 paired with (DEP444) any ten or face card (8D-40%) creates an unbeatable two-card Natural (DEP444·8D-40%) 9 that halts all third-card drawing on both sides. In state DEP444 (8D, 40% depth), each removed Rank-9 card applies a -0.23 bps baseline directional pressure before scaling to the 250-card remainder (17 Rank-9 left), while Winning Banker wagers collect (DEP444-8D) 0.96 units per unit staked (17/32) with 60% of the shoe (DEP444-8D·17/32) still inside the acrylic carrier.
| Wager / Metric | State DEP444 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP444 Banker (4% Vig) | 45.8592% (-0.6003% EV) | 45.8597% | DEP444 8D 40% (17 Rank-9) |
| DEP444 Player (1:1) | 44.6252% (-1.2341% EV) | 44.6247% | DEP444 250-card 8D stub (0.9362 SD) |
| DEP444 Tie (8:1) | 9.5156% (-14.3598% EV) | 9.5156% | DEP444 Rank-9 (15 out, 17 in) |
Comparing DEP444 (40% 8D depth, 15 Rank-9 removed, 17 remaining in 250 cards) against fresh-shoe baselines shows how finite-stub variance (0.9362 SD) coexists with a 0.6003% 4% Banker house edge.
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