Removing 14 of 24 Three-Pip (Trey) (Rank-3) cards at 50% penetration of a 6-deck (312-card) shoe leaves 10 Rank-3 cards inside a 156-card stub (DEP301), producing 45.8665% Banker wins, 44.5885% Player wins, 9.5450% Ties, and a 1.4150% Banker house edge under Super 6.
Reference shoe scoreboard (BBPPBPBBPPBPBBPPBP) illustrating derived-road symmetry checks alongside DEP301 (6D Rank-3 at 50% 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 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.
This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.
50% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).
14 3-pip cards across all four suits removed from the 6D pack.
Resolved at 45.8665% Banker win rate under Super 6 settlement.
Resolved at 44.5885% Player win rate with 0.9354 unit standard deviation.
Produces a 14.0954% house hold on the 8-to-1 Tie wager in state DEP301.
Card-removal benchmark DEP301 measures Three-Pip (Trey) (Rank-3) scarcity at 50% depth in a 6-deck shoe: 14 removed ranks leave 10 in the 156-card remainder, shifting Banker win share to 45.8665% (1.4150% edge, Super 6).
Why does Rank-3 carry a +0.65 bps per-card effect in DEP301? Banker total 4 draws (DEP301) on Player third-card 3, and (6D-50%) Banker total 5 stands on (DEP301·6D-50%) Player third-card 3, creating asymmetric sensitivity, and at 50% penetration (10 Three-Pip (Trey) cards left in 156 6D cards), banker wins on totals (dep301-6d) 1–5 and 7–9 pay 1:1 (10/24) while any winning 2-card or (dep301-6d·10/24) 3-card banker 6 pays 50 cents on the dollar.
| Wager / Metric | State DEP301 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP301 Banker (Super 6) | 45.8665% (-1.4150% EV) | 45.8648% | DEP301 6D 50% (10 Rank-3) |
| DEP301 Player (1:1) | 44.5885% (-1.2780% EV) | 44.5903% | DEP301 156-card 6D stub (0.9354 SD) |
| DEP301 Tie (8:1) | 9.5450% (-14.0954% EV) | 9.5449% | DEP301 Rank-3 (14 out, 10 in) |
Cut-card protocol at 50% depth in DEP301 (6D, 156 stub cards containing 10 Rank-3 cards) ensures the shoe reshuffles long before Super 6 house hold (1.4150% Banker / 1.2780% Player) is overturned.
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