Removing 7 of 24 Five-Pip Card (Rank-5) cards at 25% penetration of a 6-deck (312-card) shoe leaves 17 Rank-5 cards inside a 234-card stub (DEP317), producing 45.8639% Banker wins, 44.5913% Player wins, 9.5449% Ties, and a 1.0206% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBPBBPPBPBBPPBP) illustrating derived-road symmetry checks alongside DEP317 (6D Rank-5 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.
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.
25% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).
7 5-pip cards (final mandatory Player draw threshold) removed from the 6D pack.
Resolved at 45.8639% Banker win rate under 5% settlement.
Resolved at 44.5913% Player win rate with 0.9335 unit standard deviation.
Produces a 14.0961% house hold on the 8-to-1 Tie wager in state DEP317.
Across 89,520,558,110,592,000 initial 6D permutations, depletion node DEP317 narrows to a 234-card stub (25% depth) holding 17 of 24 Rank-5 cards, where Banker resolves at 45.8639% (-1.0206% EV) and Player at 44.5913% (-1.2726% EV).
When 7 Rank-5 cards exit a 6D shoe by 25% penetration (DEP317, 17 left in 234 cards), fewer 5s in the (dep317-rank-5) stub reduce banker third-card improvements (234c) from 3 to 8 and (dep317-rank-5·234c) from 4 to 9, combining a -0.84 bps rank vector with 5% settlement (-1.0206% Banker EV).
| Wager / Metric | State DEP317 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP317 Banker (5% Vig) | 45.8639% (-1.0206% EV) | 45.8648% | DEP317 6D 25% (17 Rank-5) |
| DEP317 Player (1:1) | 44.5913% (-1.2726% EV) | 44.5903% | DEP317 234-card 6D stub (0.9335 SD) |
| DEP317 Tie (8:1) | 9.5449% (-14.0961% EV) | 9.5449% | DEP317 Rank-5 (7 out, 17 in) |
Scoreboard literacy in DEP317 separates two independent concepts: 6D card-removal math (17 Rank-5 left in 234 cards at 25% depth, 0.9335 volatility) and derived-road comparison rules (Rule 1 column-depth checks and Rule 2 two-cell lookbacks).
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