Removing 23 of 24 Nine-Pip Card (Rank-9) cards at 85% penetration of a 6-deck (312-card) shoe leaves 1 Rank-9 cards inside a 47-card stub (DEP360), producing 45.8636% Banker wins, 44.5916% Player wins, 9.5448% Ties, and a 0.9814% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (PPBBPPBPBPBBPPBBPB) illustrating derived-road symmetry checks alongside DEP360 (6D Rank-9 at 85% 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 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.
Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.
85% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).
23 9-pip cards (top Natural 9 generator) removed from the 6D pack.
Resolved at 45.8636% Banker win rate under EZ Baccarat settlement.
Resolved at 44.5916% Player win rate with 0.9407 unit standard deviation.
Produces a 14.0964% house hold on the 8-to-1 Tie wager in state DEP360.
Depletion matrix entry DEP360 pairs 6D (312 cards) at 85% penetration with 23 removed Nine-Pip Card cards (1 left in 47 cards), fixing per-hand volatility at 0.9407 and Banker house hold at 0.9814% (EZ Bar-7).
Tracking DEP360 across 47 remaining 6D cards (85% depth) shows that when 9s are depleted (dep360-rank-9) late in the shoe, more (47c) hands bypass four-card natural resolution (dep360-rank-9·47c) and enter the five- and six-card tableau. With 23 Rank-9 cards gone (-0.23 bps unit sensitivity), Banker expectation is -0.9814% (EZ Bar-7) vs -1.2720% on Player.
| Wager / Metric | State DEP360 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP360 Banker (EZ Bar-7) | 45.8636% (-0.9814% EV) | 45.8648% | DEP360 6D 85% (1 Rank-9) |
| DEP360 Player (1:1) | 44.5916% (-1.2720% EV) | 44.5903% | DEP360 47-card 6D stub (0.9407 SD) |
| DEP360 Tie (8:1) | 9.5448% (-14.0964% EV) | 9.5449% | DEP360 Rank-9 (23 out, 1 in) |
Comparing DEP360 (85% 6D depth, 23 Rank-9 removed, 1 remaining in 47 cards) against fresh-shoe baselines shows how finite-stub variance (0.9407 SD) coexists with a 0.9814% EZ Baccarat Banker house edge.
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