Removing 11 of 24 Four-Pip Card (Rank-4) cards at 40% penetration of a 6-deck (312-card) shoe leaves 13 Rank-4 cards inside a 187-card stub (DEP309), producing 45.8671% Banker wins, 44.5879% Player wins, 9.5449% Ties, and a 0.5555% Banker house edge under 4%.
Reference shoe scoreboard (BBPPPBBBPPBPTBPBBP) illustrating derived-road symmetry checks alongside DEP309 (6D Rank-4 at 40% 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.
40% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).
11 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 6D pack.
Resolved at 45.8671% Banker win rate under 4% settlement.
Resolved at 44.5879% Player win rate with 0.9347 unit standard deviation.
Produces a 14.0955% house hold on the 8-to-1 Tie wager in state DEP309.
Audit DEP309 evaluates a 6-deck (312-card) shoe at 40% penetration where 11 of 24 Four-Pip Card cards have exited, leaving 13 Rank-4 cards inside the 187-card stub with Banker EV at -0.5555% under 4%.
Removing 4s produces the (DEP309-Rank-4) single largest per-card shift toward (187c) Banker (and away from Player) (DEP309-Rank-4·187c) of any rank in the shoe. Because 11 of 24 Four-Pip Card cards are absent in DEP309 at 40% 6D penetration (187 cards left), per-card sensitivity (+1.19 bps) interacts directly with mid-early 40% penetration depth (DEP309) under reduced 4% Banker commission (Rank-4) (0.96:1 payout).
| Wager / Metric | State DEP309 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP309 Banker (4% Vig) | 45.8671% (-0.5555% EV) | 45.8648% | DEP309 6D 40% (13 Rank-4) |
| DEP309 Player (1:1) | 44.5879% (-1.2792% EV) | 44.5903% | DEP309 187-card 6D stub (0.9347 SD) |
| DEP309 Tie (8:1) | 9.5449% (-14.0955% EV) | 9.5449% | DEP309 Rank-4 (11 out, 13 in) |
Learners auditing DEP309 (6D at 40% depth, 13/24 Rank-4 in 187 stub cards) can verify that 4% house hold (0.5555% Banker, 1.2792% Player, 14.0955% Tie) operates independently of prior Big Road streaks.
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