Removing 26 of 32 Ace (1-Point Pip) (Ace-1) cards at 70% penetration of a 8-deck (416-card) shoe leaves 6 Ace-1 cards inside a 125-card stub (DEP375), producing 45.8615% Banker wins, 44.6228% Player wins, 9.5156% Ties, and a 1.0544% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBBPBPBPPBBPPBP) illustrating derived-road symmetry checks alongside DEP375 (8D Ace-1 at 70% 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 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.
70% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
26 Ace cards valued at 1 modulo-10 point removed from the 8D pack.
Resolved at 45.8615% Banker win rate under 5% settlement.
Resolved at 44.6228% Player win rate with 0.9368 unit standard deviation.
Produces a 14.3592% house hold on the 8-to-1 Tie wager in state DEP375.
Removing 26 of 32 Ace-1 cards by the 70% mark of a 8-deck shoe (DEP375, 125 cards left) leaves 6 Ace (1-Point Pip) cards and adjusts conditional probabilities to 45.8615% Banker, 44.6228% Player, and 9.5156% Tie under 5%.
When 26 Ace-1 cards exit a 8D shoe by 70% penetration (DEP375, 6 left in 125 cards), when fewer aces remain, (dep375-ace-1) player 7 and 8 third-card (125c) transitions from 6 and 7 (dep375-ace-1·125c) occur less often during six-card resolutions, combining a +0.44 bps rank vector with 5% settlement (-1.0544% Banker EV).
| Wager / Metric | State DEP375 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP375 Banker (5% Vig) | 45.8615% (-1.0544% EV) | 45.8597% | DEP375 8D 70% (6 Ace-1) |
| DEP375 Player (1:1) | 44.6228% (-1.2387% EV) | 44.6247% | DEP375 125-card 8D stub (0.9368 SD) |
| DEP375 Tie (8:1) | 9.5156% (-14.3592% EV) | 9.5156% | DEP375 Ace-1 (26 out, 6 in) |
Comparing DEP375 (70% 8D depth, 26 Ace-1 removed, 6 remaining in 125 cards) against fresh-shoe baselines shows how finite-stub variance (0.9368 SD) coexists with a 1.0544% 5% Banker house edge.
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