Removing 11 of 16 Ace (1-Point Pip) (Ace-1) cards at 60% penetration of a 4-deck (208-card) shoe leaves 5 Ace-1 cards inside a 83-card stub (DEP194), producing 45.8747% Banker wins, 44.5835% Player wins, 9.5418% Ties, and a 0.9623% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (PPBBPPBBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP194 (4D Ace-1 at 60% 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.
60% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
11 Ace cards valued at 1 modulo-10 point removed from the 4D pack.
Resolved at 45.8747% Banker win rate under EZ Baccarat settlement.
Resolved at 44.5835% Player win rate with 0.9358 unit standard deviation.
Produces a 14.1235% house hold on the 8-to-1 Tie wager in state DEP194.
Exact conditional enumeration DEP194 for a 4D shoe at 60% depth (83/208 cards undealt) with 5 remaining Ace-1 cards confirms a 0.9623% Banker edge (EZ Bar-7), 1.2911% Player edge, and 14.1235% Tie edge.
Combinatorial weighting in DEP194 (83 cards left from 208 at 60% depth) is governed by two rules: removing aces slightly favors (dep194) banker because banker stands on (4d-60%) 6 against player third-card ace (dep194·4d-60%) while player must draw on 0–5, and banker wins pay 1:1 (dep194-4d) with zero commission except when (5/16) banker wins with a three-card (dep194-4d·5/16) total of 7, which pushes (+0.44 bps per Ace-1 removed).
| Wager / Metric | State DEP194 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP194 Banker (EZ Bar-7) | 45.8747% (-0.9623% EV) | 45.8732% | DEP194 4D 60% (5 Ace-1) |
| DEP194 Player (1:1) | 44.5835% (-1.2911% EV) | 44.5850% | DEP194 83-card 4D stub (0.9358 SD) |
| DEP194 Tie (8:1) | 9.5418% (-14.1235% EV) | 9.5418% | DEP194 Ace-1 (11 out, 5 in) |
Learners auditing DEP194 (4D at 60% depth, 5/16 Ace-1 in 83 stub cards) can verify that EZ Baccarat house hold (0.9623% Banker, 1.2911% Player, 14.1235% Tie) operates independently of prior Big Road streaks.
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