Removing 28 of 32 Six-Pip Card (Rank-6) cards at 75% penetration of a 8-deck (416-card) shoe leaves 4 Rank-6 cards inside a 104-card stub (DEP421), producing 45.8546% Banker wins, 44.6299% Player wins, 9.5155% Ties, and a 0.6096% Banker house edge under 4%.
Reference shoe scoreboard (BBPPPBBBPPBPTBPBBP) illustrating derived-road symmetry checks alongside DEP421 (8D Rank-6 at 75% 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.
75% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
28 6-pip cards (standing threshold and Banker 6 trigger) removed from the 8D pack.
Resolved at 45.8546% Banker win rate under 4% settlement.
Resolved at 44.6299% Player win rate with 0.9388 unit standard deviation.
Produces a 14.3604% house hold on the 8-to-1 Tie wager in state DEP421.
Audit DEP421 evaluates a 8-deck (416-card) shoe at 75% penetration where 28 of 32 Six-Pip Card cards have exited, leaving 4 Rank-6 cards inside the 104-card stub with Banker EV at -0.6096% under 4%.
Under the fixed third-card tableau for DEP421, banker 6 only draws (dep421) when player pulls a third-card (8d-75%) 6 or 7; depleting 6s (dep421·8d-75%) directly alters both banker 6 draws and super 6 settlement frequency. With 4 Rank-6 cards inside 104 remaining 8D cards (75% dealt), single-card slope (-1.13 bps) keeps Banker house edge at 0.6096% and Player at 1.2246%.
| Wager / Metric | State DEP421 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP421 Banker (4% Vig) | 45.8546% (-0.6096% EV) | 45.8597% | DEP421 8D 75% (4 Rank-6) |
| DEP421 Player (1:1) | 44.6299% (-1.2246% EV) | 44.6247% | DEP421 104-card 8D stub (0.9388 SD) |
| DEP421 Tie (8:1) | 9.5155% (-14.3604% EV) | 9.5156% | DEP421 Rank-6 (28 out, 4 in) |
Statistical verification of DEP421 (8D, 75% penetration, 4 Six-Pip Card cards in 104 stub cards) demonstrates why single-rank depletion (28 Rank-6 dealt) shifts edges by basis points around -0.6096% (4% Vig).
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