Removing 19 of 24 Two-Pip (Deuce) (Rank-2) cards at 70% penetration of a 6-deck (312-card) shoe leaves 5 Rank-2 cards inside a 94-card stub (DEP294), producing 45.8669% Banker wins, 44.5881% Player wins, 9.5450% Ties, and a 1.0146% Banker house edge under 5%.
Reference shoe scoreboard (PPBBBPPPBBPBTBPBPP) illustrating derived-road symmetry checks alongside DEP294 (6D Rank-2 at 70% depth).
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.
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.
70% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).
19 2-pip cards across all four suits removed from the 6D pack.
Resolved at 45.8669% Banker win rate under 5% settlement.
Resolved at 44.5881% Player win rate with 0.9371 unit standard deviation.
Produces a 14.0952% house hold on the 8-to-1 Tie wager in state DEP294.
Quantitative proof DEP294 documents 6D rank depletion at 70% depth: 19 exited Rank-2 cards leave 5 of 24 in the 94-card stub, generating 45.8669% Banker wins (-1.0146% EV under 5% Vig) and 44.5881% Player wins.
Combinatorial weighting in DEP294 (94 cards left from 312 at 70% depth) is governed by two rules: on banker total 4, (dep294) banker draws against player third-card (6d-70%) 2 through 7; removing 2s (dep294·6d-70%) trims low-pip player third-card triggers, and with 70% of cards (dep294-6d) dealt and 30% remaining ahead (5/24) of the cut card, winning (dep294-6d·5/24) banker bets pay 0.95 to 1 (+0.52 bps per Rank-2 removed).
| Wager / Metric | State DEP294 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP294 Banker (5% Vig) | 45.8669% (-1.0146% EV) | 45.8648% | DEP294 6D 70% (5 Rank-2) |
| DEP294 Player (1:1) | 44.5881% (-1.2788% EV) | 44.5903% | DEP294 94-card 6D stub (0.9371 SD) |
| DEP294 Tie (8:1) | 9.5450% (-14.0952% EV) | 9.5449% | DEP294 Rank-2 (19 out, 5 in) |
Across 100-hand session horizons at state DEP294 (6D 70% depth, 5/24 Rank-2 in 94 cards), single-hand dispersion (0.9371 SD) dominates the 1.0146% (5% Vig) Banker and 1.2788% Player expectation gap.
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