Removing 7 of 24 Four-Pip Card (Rank-4) cards at 25% penetration of a 6-deck (312-card) shoe leaves 17 Rank-4 cards inside a 234-card stub (DEP308), producing 45.8661% Banker wins, 44.5889% Player wins, 9.5449% Ties, and a 1.0161% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPBPBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP308 (6D Rank-4 at 25% 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.
Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.
25% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).
7 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 6D pack.
Resolved at 45.8661% Banker win rate under 5% settlement.
Resolved at 44.5889% Player win rate with 0.9332 unit standard deviation.
Produces a 14.0957% house hold on the 8-to-1 Tie wager in state DEP308.
Quantitative proof DEP308 documents 6D rank depletion at 25% depth: 7 exited Rank-4 cards leave 17 of 24 in the 234-card stub, generating 45.8661% Banker wins (-1.0161% EV under 5% Vig) and 44.5889% Player wins.
Because removing 4s produces the (dep308-rank-4) single largest per-card shift toward (234c) banker (and away from player) (dep308-rank-4·234c) of any rank in the shoe, state DEP308 (25% 6D depth, 7 Rank-4 removed, 17 in 234 cards) registers a +1.19 bps rank derivative and 1.0161% Banker house edge (5% Vig).
| Wager / Metric | State DEP308 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP308 Banker (5% Vig) | 45.8661% (-1.0161% EV) | 45.8648% | DEP308 6D 25% (17 Rank-4) |
| DEP308 Player (1:1) | 44.5889% (-1.2772% EV) | 44.5903% | DEP308 234-card 6D stub (0.9332 SD) |
| DEP308 Tie (8:1) | 9.5449% (-14.0957% EV) | 9.5449% | DEP308 Rank-4 (7 out, 17 in) |
Learners auditing DEP308 (6D at 25% depth, 17/24 Rank-4 in 234 stub cards) can verify that 5% house hold (1.0161% Banker, 1.2772% Player, 14.0957% Tie) operates independently of prior Big Road streaks.
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