Removing 19 of 24 Ace (1-Point Pip) (Ace-1) cards at 70% penetration of a 6-deck (312-card) shoe leaves 5 Ace-1 cards inside a 94-card stub (DEP285), producing 45.8666% Banker wins, 44.5885% Player wins, 9.5449% Ties, and a 1.0153% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBPBBPPBPBBPPBP) illustrating derived-road symmetry checks alongside DEP285 (6D Ace-1 at 70% 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.
70% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).
19 Ace cards valued at 1 modulo-10 point removed from the 6D pack.
Resolved at 45.8666% Banker win rate under 5% settlement.
Resolved at 44.5885% Player win rate with 0.9368 unit standard deviation.
Produces a 14.0955% house hold on the 8-to-1 Tie wager in state DEP285.
At 70% penetration of a 312-card (6D) shoe, state DEP285 isolates 19 dealt Ace-1 cards (5 remaining inside 94 stub cards), yielding 45.8666% Banker wins, 44.5885% Player wins, and 0.9368 per-hand standard deviation under 5%.
In six-card resolution tree DEP285 (6D at 70% depth, 94 cards left), when fewer aces remain, (dep285-ace-1) player 7 and 8 third-card (94c) transitions from 6 and 7 (dep285-ace-1·94c) occur less often during six-card resolutions; removing 19 of 24 Ace-1 cards (+0.44 bps weight) leaves Banker at -1.0153% EV under 5%.
| Wager / Metric | State DEP285 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP285 Banker (5% Vig) | 45.8666% (-1.0153% EV) | 45.8648% | DEP285 6D 70% (5 Ace-1) |
| DEP285 Player (1:1) | 44.5885% (-1.2781% EV) | 44.5903% | DEP285 94-card 6D stub (0.9368 SD) |
| DEP285 Tie (8:1) | 9.5449% (-14.0955% EV) | 9.5449% | DEP285 Ace-1 (19 out, 5 in) |
Comparing DEP285 (70% 6D depth, 19 Ace-1 removed, 5 remaining in 94 cards) against fresh-shoe baselines shows how finite-stub variance (0.9368 SD) coexists with a 1.0153% 5% Banker house edge.
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