Removing 3 of 4 Two-Pip (Deuce) (Rank-2) cards at 60% penetration of a 1-deck (52-card) shoe leaves 1 Rank-2 cards inside a 21-card stub (DEP023), producing 45.9614% Banker wins, 44.5230% Player wins, 9.5157% Ties, and a 0.8150% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (BBPPBBPBPBPPBBPPBP) illustrating derived-road symmetry checks alongside DEP023 (1D Rank-2 at 60% 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 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.
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.
60% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
3 2-pip cards across all four suits removed from the 1D pack.
Resolved at 45.9614% Banker win rate under EZ Baccarat settlement.
Resolved at 44.5230% Player win rate with 0.9361 unit standard deviation.
Produces a 14.3590% house hold on the 8-to-1 Tie wager in state DEP023.
Across 14,658,134,400 initial 1D permutations, depletion node DEP023 narrows to a 21-card stub (60% depth) holding 1 of 4 Rank-2 cards, where Banker resolves at 45.9614% (-0.8150% EV) and Player at 44.5230% (-1.4384% EV).
Because depleting 2s shifts the (dep023-rank-2) probability of banker converting a (21c) two-card 4 or 5 into (dep023-rank-2·21c) a winning three-card 6 or 7, state DEP023 (60% 1D depth, 3 Rank-2 removed, 1 in 21 cards) registers a +0.52 bps rank derivative and 0.8150% Banker house edge (EZ Bar-7).
| Wager / Metric | State DEP023 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP023 Banker (EZ Bar-7) | 45.9614% (-0.8150% EV) | 45.9595% | DEP023 1D 60% (1 Rank-2) |
| DEP023 Player (1:1) | 44.5230% (-1.4384% EV) | 44.5249% | DEP023 21-card 1D stub (0.9361 SD) |
| DEP023 Tie (8:1) | 9.5157% (-14.3590% EV) | 9.5156% | DEP023 Rank-2 (3 out, 1 in) |
Whether DEP023 is observed in single-deck laboratory benchmarks and historical pitch audits at 60% depth (21/52 cards left, 1 Rank-2 remaining), EZ Bar-7 settlement locks Banker EV at -0.8150% and Player EV at -1.4384% with 9.5157% Ties.
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