Removing 2 of 4 Two-Pip (Deuce) (Rank-2) cards at 40% penetration of a 1-deck (52-card) shoe leaves 2 Rank-2 cards inside a 31-card stub (DEP021), producing 45.9606% Banker wins, 44.5237% Player wins, 9.5156% Ties, and a 0.4016% Banker house edge under 4%.
Reference shoe scoreboard (BBPPPBBBPPBPTBPBBP) illustrating derived-road symmetry checks alongside DEP021 (1D Rank-2 at 40% 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.
40% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
2 2-pip cards across all four suits removed from the 1D pack.
Resolved at 45.9606% Banker win rate under 4% settlement.
Resolved at 44.5237% Player win rate with 0.9341 unit standard deviation.
Produces a 14.3592% house hold on the 8-to-1 Tie wager in state DEP021.
Card-removal benchmark DEP021 measures Two-Pip (Deuce) (Rank-2) scarcity at 40% depth in a 1-deck shoe: 2 removed ranks leave 2 in the 31-card remainder, shifting Banker win share to 45.9606% (0.4016% edge, 4% Vig).
When 2 Rank-2 cards exit a 1D shoe by 40% penetration (DEP021, 2 left in 31 cards), depleting 2s shifts the (dep021-rank-2) probability of banker converting a (31c) two-card 4 or 5 into (dep021-rank-2·31c) a winning three-card 6 or 7, combining a +0.52 bps rank vector with 4% settlement (-0.4016% Banker EV).
| Wager / Metric | State DEP021 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP021 Banker (4% Vig) | 45.9606% (-0.4016% EV) | 45.9595% | DEP021 1D 40% (2 Rank-2) |
| DEP021 Player (1:1) | 44.5237% (-1.4369% EV) | 44.5249% | DEP021 31-card 1D stub (0.9341 SD) |
| DEP021 Tie (8:1) | 9.5156% (-14.3592% EV) | 9.5156% | DEP021 Rank-2 (2 out, 2 in) |
Cut-card protocol at 40% depth in DEP021 (1D, 31 stub cards containing 2 Rank-2 cards) ensures the shoe reshuffles long before 4% house hold (0.4016% Banker / 1.4369% Player) is overturned.
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