Removing 21 of 24 Nine-Pip Card (Rank-9) cards at 75% penetration of a 6-deck (312-card) shoe leaves 3 Rank-9 cards inside a 78-card stub (DEP358), producing 45.8638% Banker wins, 44.5914% Player wins, 9.5449% Ties, and a 0.5622% Banker house edge under 4%.
Reference shoe scoreboard (PPBBBPPPBBPBTBPBPP) illustrating derived-road symmetry checks alongside DEP358 (6D Rank-9 at 75% 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.
75% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).
21 9-pip cards (top Natural 9 generator) removed from the 6D pack.
Resolved at 45.8638% Banker win rate under 4% settlement.
Resolved at 44.5914% Player win rate with 0.9397 unit standard deviation.
Produces a 14.0963% house hold on the 8-to-1 Tie wager in state DEP358.
Within six-deck Mini-Baccarat and Midi-Baccarat North American floors, profile DEP358 examines 75% shoe depletion (78 of 312 cards remaining) after 21 Rank-9 cards exit, leaving 3 Nine-Pip Card cards and a 0.5622% Banker house hold under 4%.
In 6D audit DEP358 (78/312 stub at 75% depth), when 9s are depleted (dep358-rank-9) late in the shoe, more (78c) hands bypass four-card natural resolution (dep358-rank-9·78c) and enter the five- and six-card tableau. Removing 21 Rank-9 cards (-0.23 bps per card) alongside 4% Vig rules sets Tie hold to 14.0963% (9.5449% frequency).
| Wager / Metric | State DEP358 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP358 Banker (4% Vig) | 45.8638% (-0.5622% EV) | 45.8648% | DEP358 6D 75% (3 Rank-9) |
| DEP358 Player (1:1) | 44.5914% (-1.2724% EV) | 44.5903% | DEP358 78-card 6D stub (0.9397 SD) |
| DEP358 Tie (8:1) | 9.5449% (-14.0963% EV) | 9.5449% | DEP358 Rank-9 (21 out, 3 in) |
For DEP358 (78 remaining cards in a 312-card 6D shoe at 75% depth), tracking all 21 exited Rank-9 cards moves Banker win rate to 45.8638% (-0.5622% EV, 4% Vig) and Player to 44.5914% (-1.2724% EV).
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