Removing 3 of 24 Three-Pip (Trey) (Rank-3) cards at 10% penetration of a 6-deck (312-card) shoe leaves 21 Rank-3 cards inside a 281-card stub (DEP298), producing 45.8651% Banker wins, 44.5900% Player wins, 9.5449% Ties, and a 1.0182% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPBTBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP298 (6D Rank-3 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 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.
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.
10% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).
3 3-pip cards across all four suits removed from the 6D pack.
Resolved at 45.8651% Banker win rate under 5% settlement.
Resolved at 44.5900% Player win rate with 0.9314 unit standard deviation.
Produces a 14.0958% house hold on the 8-to-1 Tie wager in state DEP298.
Finite-shoe specification DEP298 tracks Rank-3 removal at 10% depth in 6-deck play: with 21 of 24 Three-Pip (Trey) cards left in the 281-card stub, Tie incidence is 9.5449% and Banker expectation settles at -1.0182% (5% Vig).
Each removed 3-pip card (DEP298-Rank-3) modifies the boundary between Banker (281c) standing on 5 and drawing (DEP298-Rank-3·281c) against mid-range Player pulls. Because 3 of 24 Three-Pip (Trey) cards are absent in DEP298 at 10% 6D penetration (281 cards left), per-card sensitivity (+0.65 bps) interacts directly with early-shoe 10% penetration depth (DEP298) under standard 5% Banker commission (Rank-3) (0.95:1 payout).
| Wager / Metric | State DEP298 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP298 Banker (5% Vig) | 45.8651% (-1.0182% EV) | 45.8648% | DEP298 6D 10% (21 Rank-3) |
| DEP298 Player (1:1) | 44.5900% (-1.2751% EV) | 44.5903% | DEP298 281-card 6D stub (0.9314 SD) |
| DEP298 Tie (8:1) | 9.5449% (-14.0958% EV) | 9.5449% | DEP298 Rank-3 (3 out, 21 in) |
For DEP298 (281 remaining cards in a 312-card 6D shoe at 10% depth), tracking all 3 exited Rank-3 cards moves Banker win rate to 45.8651% (-1.0182% EV, 5% Vig) and Player to 44.5900% (-1.2751% EV).
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