Removing 1 of 4 Two-Pip (Deuce) (Rank-2) cards at 25% penetration of a 1-deck (52-card) shoe leaves 3 Rank-2 cards inside a 39-card stub (DEP020), producing 45.9600% Banker wins, 44.5244% Player wins, 9.5156% Ties, and a 0.8624% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPBPBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP020 (1D Rank-2 at 25% 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.
25% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
1 2-pip cards across all four suits removed from the 1D pack.
Resolved at 45.9600% Banker win rate under 5% settlement.
Resolved at 44.5244% Player win rate with 0.9326 unit standard deviation.
Produces a 14.3594% house hold on the 8-to-1 Tie wager in state DEP020.
Under 5% settlement (5% Vig), combinatorial state DEP020 models a 1D carrier with 39 cards left (25% dealt) and 3/4 Two-Pip (Deuce) cards remaining, producing a 0.8624% Banker edge versus 1.4356% on Player.
Combinatorial weighting in DEP020 (39 cards left from 52 at 25% depth) is governed by two rules: on banker total 4, (dep020) banker draws against player third-card (1d-25%) 2 through 7; removing 2s (dep020·1d-25%) trims low-pip player third-card triggers, and one-quarter of the shoe (dep020-1d) has exited the carrier and (3/4) winning banker wagers pay 0.95 (dep020-1d·3/4) to 1 after 5% house tax (+0.52 bps per Rank-2 removed).
| Wager / Metric | State DEP020 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP020 Banker (5% Vig) | 45.9600% (-0.8624% EV) | 45.9595% | DEP020 1D 25% (3 Rank-2) |
| DEP020 Player (1:1) | 44.5244% (-1.4356% EV) | 44.5249% | DEP020 39-card 1D stub (0.9326 SD) |
| DEP020 Tie (8:1) | 9.5156% (-14.3594% EV) | 9.5156% | DEP020 Rank-2 (1 out, 3 in) |
Comparing DEP020 (25% 1D depth, 1 Rank-2 removed, 3 remaining in 39 cards) against fresh-shoe baselines shows how finite-stub variance (0.9326 SD) coexists with a 0.8624% 5% Banker house edge.
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