Removing 15 of 32 0-Value Tens & Faces (Rank-0) cards at 40% penetration of a 2-deck (104-card) shoe leaves 17 Rank-0 cards inside a 62-card stub (DEP093), producing 45.9012% Banker wins, 44.5661% Player wins, 9.5327% Ties, and a 0.5009% Banker house edge under 4%.
Reference shoe scoreboard (BBPPBPBBPPBPBBPPBP) illustrating derived-road symmetry checks alongside DEP093 (2D Rank-0 at 40% 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.
This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.
40% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
15 10, Jack, Queen, and King (zero-point cards) removed from the 2D pack.
Resolved at 45.9012% Banker win rate under 4% settlement.
Resolved at 44.5661% Player win rate with 0.9335 unit standard deviation.
Produces a 14.2059% house hold on the 8-to-1 Tie wager in state DEP093.
Across 112,869,612,134,400 initial 2D permutations, depletion node DEP093 narrows to a 62-card stub (40% depth) holding 17 of 32 Rank-0 cards, where Banker resolves at 45.9012% (-0.5009% EV) and Player at 44.5661% (-1.3352% EV).
Comparing initial 104-card 2D weights against stub DEP093 (62 cards, 40% depth, 17 Rank-0 left) illustrates how depleting zero-point cards reduces (dep093) modulo-10 standoffs and alters two-card (2d-40%) natural combinations paired with 8s (dep093·2d-40%) and 9s (+0.18 bps slope, 0.5009% 4% Vig edge).
| Wager / Metric | State DEP093 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP093 Banker (4% Vig) | 45.9012% (-0.5009% EV) | 45.8998% | DEP093 2D 40% (17 Rank-0) |
| DEP093 Player (1:1) | 44.5661% (-1.3352% EV) | 44.5676% | DEP093 62-card 2D stub (0.9335 SD) |
| DEP093 Tie (8:1) | 9.5327% (-14.2059% EV) | 9.5326% | DEP093 Rank-0 (15 out, 17 in) |
For DEP093 (62 remaining cards in a 104-card 2D shoe at 40% depth), tracking all 15 exited Rank-0 cards moves Banker win rate to 45.9012% (-0.5009% EV, 4% Vig) and Player to 44.5661% (-1.3352% EV).
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