Removing 3 of 4 Eight-Pip Card (Rank-8) cards at 60% penetration of a 1-deck (52-card) shoe leaves 1 Rank-8 cards inside a 21-card stub (DEP077), producing 45.9577% Banker wins, 44.5268% Player wins, 9.5155% Ties, and a 0.8225% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (BBPPBPBBPPBPBBPPBP) illustrating derived-road symmetry checks alongside DEP077 (1D Rank-8 at 60% 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.
60% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
3 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 1D pack.
Resolved at 45.9577% Banker win rate under EZ Baccarat settlement.
Resolved at 44.5268% Player win rate with 0.9379 unit standard deviation.
Produces a 14.3602% house hold on the 8-to-1 Tie wager in state DEP077.
Card-removal benchmark DEP077 measures Eight-Pip Card (Rank-8) scarcity at 60% depth in a 1-deck shoe: 3 removed ranks leave 1 in the 21-card remainder, shifting Banker win share to 45.9577% (0.8225% edge, EZ Bar-7).
Mechanical draw trees in DEP077 reflect how depleting 8-pip cards also (dep077-rank-8) lowers two-card natural 8 lockouts (21c) when paired with zero-point tens (dep077-rank-8·21c) and court cards. At 60% 1D depth (1 Rank-8 left of 4 in 21 cards, -0.50 bps slope), banker wins pay 1:1 (dep077-1d) with zero commission except when (1/4) banker wins with a three-card (dep077-1d·1/4) total of 7, which pushes.
| Wager / Metric | State DEP077 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP077 Banker (EZ Bar-7) | 45.9577% (-0.8225% EV) | 45.9595% | DEP077 1D 60% (1 Rank-8) |
| DEP077 Player (1:1) | 44.5268% (-1.4309% EV) | 44.5249% | DEP077 21-card 1D stub (0.9379 SD) |
| DEP077 Tie (8:1) | 9.5155% (-14.3602% EV) | 9.5156% | DEP077 Rank-8 (3 out, 1 in) |
In studio and floor audits of DEP077 (21 cards undealt out of 52 in 1D at 60% depth), a 0.9379 unit standard deviation accompanies the 1-card Rank-8 stub under EZ Bar-7 (45.9577% Banker vs 44.5268% Player).
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