Removing 15 of 32 Six-Pip Card (Rank-6) cards at 40% penetration of a 8-deck (416-card) shoe leaves 17 Rank-6 cards inside a 250-card stub (DEP417), producing 45.8574% Banker wins, 44.6270% Player wins, 9.5156% Ties, and a 0.6039% Banker house edge under 4%.
Reference shoe scoreboard (BBPPBBPPBPTBPBBPBP) illustrating derived-road symmetry checks alongside DEP417 (8D Rank-6 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.
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 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.
40% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
15 6-pip cards (standing threshold and Banker 6 trigger) removed from the 8D pack.
Resolved at 45.8574% Banker win rate under 4% settlement.
Resolved at 44.6270% Player win rate with 0.9353 unit standard deviation.
Produces a 14.3600% house hold on the 8-to-1 Tie wager in state DEP417.
Removing 15 of 32 Rank-6 cards by the 40% mark of a 8-deck shoe (DEP417, 250 cards left) leaves 17 Six-Pip Card cards and adjusts conditional probabilities to 45.8574% Banker, 44.6270% Player, and 9.5156% Tie under 4%.
When 15 Rank-6 cards exit a 8D shoe by 40% penetration (DEP417, 17 left in 250 cards), removing 6-pip cards produces (dep417-rank-6) the strongest per-card shift toward (250c) the player side and reduces (dep417-rank-6·250c) barred banker 6 incidence, combining a -1.13 bps rank vector with 4% settlement (-0.6039% Banker EV).
| Wager / Metric | State DEP417 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP417 Banker (4% Vig) | 45.8574% (-0.6039% EV) | 45.8597% | DEP417 8D 40% (17 Rank-6) |
| DEP417 Player (1:1) | 44.6270% (-1.2304% EV) | 44.6247% | DEP417 250-card 8D stub (0.9353 SD) |
| DEP417 Tie (8:1) | 9.5156% (-14.3600% EV) | 9.5156% | DEP417 Rank-6 (15 out, 17 in) |
Whether DEP417 is observed in eight-deck Macau, Las Vegas Strip, and Singapore standard shoes at 40% depth (250/416 cards left, 17 Rank-6 remaining), 4% Vig settlement locks Banker EV at -0.6039% and Player EV at -1.2304% with 9.5156% Ties.
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