Removing 3 of 24 Five-Pip Card (Rank-5) cards at 10% penetration of a 6-deck (312-card) shoe leaves 21 Rank-5 cards inside a 281-card stub (DEP316), producing 45.8644% Banker wins, 44.5907% Player wins, 9.5449% Ties, and a 1.0195% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPPPPBBBBPPBBPB) illustrating derived-road symmetry checks alongside DEP316 (6D Rank-5 at 10% 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.
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.
10% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).
3 5-pip cards (final mandatory Player draw threshold) removed from the 6D pack.
Resolved at 45.8644% Banker win rate under 5% settlement.
Resolved at 44.5907% Player win rate with 0.9320 unit standard deviation.
Produces a 14.0960% house hold on the 8-to-1 Tie wager in state DEP316.
Within six-deck Mini-Baccarat and Midi-Baccarat North American floors, profile DEP316 examines 10% shoe depletion (281 of 312 cards remaining) after 3 Rank-5 cards exit, leaving 21 Five-Pip Card cards and a 1.0195% Banker house hold under 5%.
Combinatorial weighting in DEP316 (281 cards left from 312 at 10% depth) is governed by two rules: because player draws on (dep316) two-card 5 and stands on (6d-10%) 6, while banker 3, 4, (dep316·6d-10%) and 5 all draw against a player third-card 5, rank 5 favors player when depleted, and winning banker tickets pay (dep316-6d) 0.95 units per unit staked (21/24) while 90% of the initial (dep316-6d·21/24) shoe remains undealt (-0.84 bps per Rank-5 removed).
| Wager / Metric | State DEP316 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP316 Banker (5% Vig) | 45.8644% (-1.0195% EV) | 45.8648% | DEP316 6D 10% (21 Rank-5) |
| DEP316 Player (1:1) | 44.5907% (-1.2738% EV) | 44.5903% | DEP316 281-card 6D stub (0.9320 SD) |
| DEP316 Tie (8:1) | 9.5449% (-14.0960% EV) | 9.5449% | DEP316 Rank-5 (3 out, 21 in) |
Cut-card protocol at 10% depth in DEP316 (6D, 281 stub cards containing 21 Rank-5 cards) ensures the shoe reshuffles long before 5% house hold (1.0195% Banker / 1.2738% Player) is overturned.
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