Removing 19 of 24 Nine-Pip Card (Rank-9) cards at 70% penetration of a 6-deck (312-card) shoe leaves 5 Rank-9 cards inside a 94-card stub (DEP357), producing 45.8639% Banker wins, 44.5913% Player wins, 9.5449% Ties, and a 1.0206% Banker house edge under 5%.
Reference shoe scoreboard (BBPPPBBBPPBPTBPBBP) illustrating derived-road symmetry checks alongside DEP357 (6D Rank-9 at 70% 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.
70% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).
19 9-pip cards (top Natural 9 generator) removed from the 6D pack.
Resolved at 45.8639% Banker win rate under 5% settlement.
Resolved at 44.5913% Player win rate with 0.9392 unit standard deviation.
Produces a 14.0963% house hold on the 8-to-1 Tie wager in state DEP357.
Card-removal benchmark DEP357 measures Nine-Pip Card (Rank-9) scarcity at 70% depth in a 6-deck shoe: 19 removed ranks leave 5 in the 94-card remainder, shifting Banker win share to 45.8639% (1.0206% edge, 5% Vig).
Under the fixed third-card tableau for DEP357, rank 9 paired with (dep357) any ten or face card (6d-70%) creates an unbeatable two-card natural (dep357·6d-70%) 9 that halts all third-card drawing on both sides. With 5 Rank-9 cards inside 94 remaining 6D cards (70% dealt), single-card slope (-0.23 bps) keeps Banker house edge at 1.0206% and Player at 1.2726%.
| Wager / Metric | State DEP357 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP357 Banker (5% Vig) | 45.8639% (-1.0206% EV) | 45.8648% | DEP357 6D 70% (5 Rank-9) |
| DEP357 Player (1:1) | 44.5913% (-1.2726% EV) | 44.5903% | DEP357 94-card 6D stub (0.9392 SD) |
| DEP357 Tie (8:1) | 9.5449% (-14.0963% EV) | 9.5449% | DEP357 Rank-9 (19 out, 5 in) |
In studio and floor audits of DEP357 (94 cards undealt out of 312 in 6D at 70% depth), a 0.9392 unit standard deviation accompanies the 5-card Rank-9 stub under 5% Vig (45.8639% Banker vs 44.5913% Player).
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