Removing 1 of 4 Two-Pip (Deuce) (Rank-2) cards at 10% penetration of a 1-deck (52-card) shoe leaves 3 Rank-2 cards inside a 47-card stub (DEP019), producing 45.9600% Banker wins, 44.5244% Player wins, 9.5156% Ties, and a 0.8625% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBPBPBBPPBPBPBB) illustrating derived-road symmetry checks alongside DEP019 (1D Rank-2 at 10% 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.
10% 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 0.9311 unit standard deviation.
Produces a 14.3594% house hold on the 8-to-1 Tie wager in state DEP019.
At 10% penetration of a 52-card (1D) shoe, state DEP019 isolates 1 dealt Rank-2 cards (3 remaining inside 47 stub cards), yielding 45.9600% Banker wins, 44.5244% Player wins, and 0.9311 per-hand standard deviation under 5%.
Mechanical draw trees in DEP019 reflect how depleting 2s shifts the (dep019-rank-2) probability of banker converting a (47c) two-card 4 or 5 into (dep019-rank-2·47c) a winning three-card 6 or 7. At 10% 1D depth (3 Rank-2 left of 4 in 47 cards, +0.52 bps slope), winning banker tickets pay (dep019-1d) 0.95 units per unit staked (3/4) while 90% of the initial (dep019-1d·3/4) shoe remains undealt.
| Wager / Metric | State DEP019 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP019 Banker (5% Vig) | 45.9600% (-0.8625% EV) | 45.9595% | DEP019 1D 10% (3 Rank-2) |
| DEP019 Player (1:1) | 44.5244% (-1.4355% EV) | 44.5249% | DEP019 47-card 1D stub (0.9311 SD) |
| DEP019 Tie (8:1) | 9.5156% (-14.3594% EV) | 9.5156% | DEP019 Rank-2 (1 out, 3 in) |
Even at 10% penetration in DEP019 where 1 Rank-2 cards have exited a 1D shoe (3 left in 47 cards), derived-road red and blue entries measure structural regularity on the Big Road—not whether Banker (-0.8625% EV, 5% Vig) or Player (-1.4355% EV) is favored next.
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