Removing 11 of 24 Nine-Pip Card (Rank-9) cards at 40% penetration of a 6-deck (312-card) shoe leaves 13 Rank-9 cards inside a 187-card stub (DEP354), producing 45.8644% Banker wins, 44.5908% Player wins, 9.5449% Ties, and a 0.5610% Banker house edge under 4%.
Reference shoe scoreboard (PPBBPPBBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP354 (6D Rank-9 at 40% 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 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.
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 9-pip cards (top Natural 9 generator) removed from the 6D pack.
Resolved at 45.8644% Banker win rate under 4% settlement.
Resolved at 44.5908% Player win rate with 0.9362 unit standard deviation.
Produces a 14.0961% house hold on the 8-to-1 Tie wager in state DEP354.
Finite-shoe specification DEP354 tracks Rank-9 removal at 40% depth in 6-deck play: with 13 of 24 Nine-Pip Card cards left in the 187-card stub, Tie incidence is 9.5449% and Banker expectation settles at -0.5610% (4% Vig).
In six-card resolution tree DEP354 (6D at 40% depth, 187 cards left), when 9s are depleted (dep354-rank-9) late in the shoe, more (187c) hands bypass four-card natural resolution (dep354-rank-9·187c) and enter the five- and six-card tableau; removing 11 of 24 Rank-9 cards (-0.23 bps weight) leaves Banker at -0.5610% EV under 4%.
| Wager / Metric | State DEP354 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP354 Banker (4% Vig) | 45.8644% (-0.5610% EV) | 45.8648% | DEP354 6D 40% (13 Rank-9) |
| DEP354 Player (1:1) | 44.5908% (-1.2736% EV) | 44.5903% | DEP354 187-card 6D stub (0.9362 SD) |
| DEP354 Tie (8:1) | 9.5449% (-14.0961% EV) | 9.5449% | DEP354 Rank-9 (11 out, 13 in) |
Learners auditing DEP354 (6D at 40% depth, 13/24 Rank-9 in 187 stub cards) can verify that 4% house hold (0.5610% Banker, 1.2736% Player, 14.0961% Tie) operates independently of prior Big Road streaks.
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