Removing 7 of 8 Four-Pip Card (Rank-4) cards at 75% penetration of a 2-deck (104-card) shoe leaves 1 Rank-4 cards inside a 26-card stub (DEP133), producing 45.9052% Banker wins, 44.5621% Player wins, 9.5327% Ties, and a 0.4931% Banker house edge under 4%.
Reference shoe scoreboard (BBPPPBBBPPBPTBPBBP) illustrating derived-road symmetry checks alongside DEP133 (2D Rank-4 at 75% 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.
75% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
7 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 2D pack.
Resolved at 45.9052% Banker win rate under 4% settlement.
Resolved at 44.5621% Player win rate with 0.9382 unit standard deviation.
Produces a 14.2058% house hold on the 8-to-1 Tie wager in state DEP133.
Card-removal benchmark DEP133 measures Four-Pip Card (Rank-4) scarcity at 75% depth in a 2-deck shoe: 7 removed ranks leave 1 in the 26-card remainder, shifting Banker win share to 45.9052% (0.4931% edge, 4% Vig).
Tracking DEP133 across 26 remaining 2D cards (75% depth) shows that removing 4s produces the (dep133-rank-4) single largest per-card shift toward (26c) banker (and away from player) (dep133-rank-4·26c) of any rank in the shoe. With 7 Rank-4 cards gone (+1.19 bps unit sensitivity), Banker expectation is -0.4931% (4% Vig) vs -1.3431% on Player.
| Wager / Metric | State DEP133 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP133 Banker (4% Vig) | 45.9052% (-0.4931% EV) | 45.8998% | DEP133 2D 75% (1 Rank-4) |
| DEP133 Player (1:1) | 44.5621% (-1.3431% EV) | 44.5676% | DEP133 26-card 2D stub (0.9382 SD) |
| DEP133 Tie (8:1) | 9.5327% (-14.2058% EV) | 9.5326% | DEP133 Rank-4 (7 out, 1 in) |
Synthesizing DEP133 (2D at 75% depth, 1 Four-Pip Card cards left inside 26 stub cards): 4% rules produce a 0.4931% Banker edge, 1.3431% Player edge, 14.2058% Tie edge, and 0.9382 unit volatility.
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