Removing 3 of 4 Four-Pip Card (Rank-4) cards at 60% penetration of a 1-deck (52-card) shoe leaves 1 Rank-4 cards inside a 21-card stub (DEP041), producing 45.9638% Banker wins, 44.5205% Player wins, 9.5157% Ties, and a 0.8102% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (BBPPBPTBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP041 (1D Rank-4 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.
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.
60% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
3 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 1D pack.
Resolved at 45.9638% Banker win rate under EZ Baccarat settlement.
Resolved at 44.5205% Player win rate with 0.9367 unit standard deviation.
Produces a 14.3590% house hold on the 8-to-1 Tie wager in state DEP041.
Shoe-stub analysis DEP041 inspects 21 remaining cards at 60% penetration of a 52-card (1D) pack after 3 Four-Pip Card cards have cleared, leaving 1 Rank-4 cards and a 0.8102% EZ Baccarat Banker edge.
Why does Rank-4 carry a +1.19 bps per-card effect in DEP041? Rank 4 sits at (DEP041) the exact pivot where Banker (1D-60%) 5 begins drawing (Player third (DEP041·1D-60%) card 4–7) while Banker 3 and 4 also draw, and at 60% penetration (1 Four-Pip Card cards left in 21 1D cards), banker wins pay 1:1 (dep041-1d) with zero commission except when (1/4) banker wins with a three-card (dep041-1d·1/4) total of 7, which pushes.
| Wager / Metric | State DEP041 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP041 Banker (EZ Bar-7) | 45.9638% (-0.8102% EV) | 45.9595% | DEP041 1D 60% (1 Rank-4) |
| DEP041 Player (1:1) | 44.5205% (-1.4432% EV) | 44.5249% | DEP041 21-card 1D stub (0.9367 SD) |
| DEP041 Tie (8:1) | 9.5157% (-14.3590% EV) | 9.5156% | DEP041 Rank-4 (3 out, 1 in) |
Statistical verification of DEP041 (1D, 60% penetration, 1 Four-Pip Card cards in 21 stub cards) demonstrates why single-rank depletion (3 Rank-4 dealt) shifts edges by basis points around -0.8102% (EZ Bar-7).
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