Removing 15 of 16 Ace (1-Point Pip) (Ace-1) cards at 80% penetration of a 4-deck (208-card) shoe leaves 1 Ace-1 cards inside a 42-card stub (DEP197), producing 45.8754% Banker wins, 44.5828% Player wins, 9.5418% Ties, and a 1.4004% Banker house edge under Super 6.
Reference shoe scoreboard (BBPPPBBBPPBPTBPBBP) illustrating derived-road symmetry checks alongside DEP197 (4D Ace-1 at 80% 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.
80% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
15 Ace cards valued at 1 modulo-10 point removed from the 4D pack.
Resolved at 45.8754% Banker win rate under Super 6 settlement.
Resolved at 44.5828% Player win rate with 0.9378 unit standard deviation.
Produces a 14.1234% house hold on the 8-to-1 Tie wager in state DEP197.
Audit DEP197 evaluates a 4-deck (208-card) shoe at 80% penetration where 15 of 16 Ace (1-Point Pip) cards have exited, leaving 1 Ace-1 cards inside the 42-card stub with Banker EV at -1.4004% under Super 6.
Tracking DEP197 across 42 remaining 4D cards (80% depth) shows that when fewer aces remain, (dep197-ace-1) player 7 and 8 third-card (42c) transitions from 6 and 7 (dep197-ace-1·42c) occur less often during six-card resolutions. With 15 Ace-1 cards gone (+0.44 bps unit sensitivity), Banker expectation is -1.4004% (Super 6) vs -1.2926% on Player.
| Wager / Metric | State DEP197 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP197 Banker (Super 6) | 45.8754% (-1.4004% EV) | 45.8732% | DEP197 4D 80% (1 Ace-1) |
| DEP197 Player (1:1) | 44.5828% (-1.2926% EV) | 44.5850% | DEP197 42-card 4D stub (0.9378 SD) |
| DEP197 Tie (8:1) | 9.5418% (-14.1234% EV) | 9.5418% | DEP197 Ace-1 (15 out, 1 in) |
Scoreboard literacy in DEP197 separates two independent concepts: 4D card-removal math (1 Ace-1 left in 42 cards at 80% depth, 0.9378 volatility) and derived-road comparison rules (Rule 1 column-depth checks and Rule 2 two-cell lookbacks).
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