Removing 3 of 4 Nine-Pip Card (Rank-9) cards at 60% penetration of a 1-deck (52-card) shoe leaves 1 Rank-9 cards inside a 21-card stub (DEP086), producing 45.9587% Banker wins, 44.5258% Player wins, 9.5156% Ties, and a 0.8205% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (PPBBBPPPBBPBTBPBPP) illustrating derived-road symmetry checks alongside DEP086 (1D Rank-9 at 60% 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.
60% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
3 9-pip cards (top Natural 9 generator) removed from the 1D pack.
Resolved at 45.9587% Banker win rate under EZ Baccarat settlement.
Resolved at 44.5258% Player win rate with 0.9382 unit standard deviation.
Produces a 14.3599% house hold on the 8-to-1 Tie wager in state DEP086.
In combinatorial record DEP086, depleting 3 Rank-9 cards across 60% of a 1D (52-card) pack leaves 1 Nine-Pip Card cards among 21 remaining cards, setting Banker win probability to 45.9587% and house edge to 0.8205% (EZ Bar-7).
Tracking DEP086 across 21 remaining 1D cards (60% depth) shows that when 9s are depleted (dep086-rank-9) late in the shoe, more (21c) hands bypass four-card natural resolution (dep086-rank-9·21c) and enter the five- and six-card tableau. With 3 Rank-9 cards gone (-0.23 bps unit sensitivity), Banker expectation is -0.8205% (EZ Bar-7) vs -1.4329% on Player.
| Wager / Metric | State DEP086 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP086 Banker (EZ Bar-7) | 45.9587% (-0.8205% EV) | 45.9595% | DEP086 1D 60% (1 Rank-9) |
| DEP086 Player (1:1) | 44.5258% (-1.4329% EV) | 44.5249% | DEP086 21-card 1D stub (0.9382 SD) |
| DEP086 Tie (8:1) | 9.5156% (-14.3599% EV) | 9.5156% | DEP086 Rank-9 (3 out, 1 in) |
While DEP086 tracks 3 removed Nine-Pip Card cards across 60% of a 52-card (1D) shoe (21 remaining, 0.8205% EZ Bar-7 edge), Big Eye Boy (lookback 1), Small Road (lookback 2), and Cockroach Pig (lookback 3) evaluate only Big Road column shapes.
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