Removing 4 of 8 Four-Pip Card (Rank-4) cards at 40% penetration of a 2-deck (104-card) shoe leaves 4 Rank-4 cards inside a 62-card stub (DEP129), producing 45.9023% Banker wins, 44.5650% Player wins, 9.5326% Ties, and a 0.4988% Banker house edge under 4%.
Reference shoe scoreboard (BBPPBBPPBPTBPBBPBP) illustrating derived-road symmetry checks alongside DEP129 (2D Rank-4 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 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 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 2D (double-deck European salon privé carriers and two-deck shoe pits).
4 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 2D pack.
Resolved at 45.9023% Banker win rate under 4% settlement.
Resolved at 44.5650% Player win rate with 0.9347 unit standard deviation.
Produces a 14.2062% house hold on the 8-to-1 Tie wager in state DEP129.
When a 2D shoe reaches 40% cut-card depth (62 of 104 cards undealt, state DEP129) with 4 Four-Pip Card cards removed and 4 remaining, Player wins 44.5650% (1.3373% edge) while Banker wins 45.9023% (0.4988% edge under 4%).
Removing 4s produces the (DEP129-Rank-4) single largest per-card shift toward (62c) Banker (and away from Player) (DEP129-Rank-4·62c) of any rank in the shoe. Because 4 of 8 Four-Pip Card cards are absent in DEP129 at 40% 2D penetration (62 cards left), per-card sensitivity (+1.19 bps) interacts directly with mid-early 40% penetration depth (DEP129) under reduced 4% Banker commission (Rank-4) (0.96:1 payout).
| Wager / Metric | State DEP129 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP129 Banker (4% Vig) | 45.9023% (-0.4988% EV) | 45.8998% | DEP129 2D 40% (4 Rank-4) |
| DEP129 Player (1:1) | 44.5650% (-1.3373% EV) | 44.5676% | DEP129 62-card 2D stub (0.9347 SD) |
| DEP129 Tie (8:1) | 9.5326% (-14.2062% EV) | 9.5326% | DEP129 Rank-4 (4 out, 4 in) |
Whether DEP129 is observed in double-deck European salon privé carriers and two-deck shoe pits at 40% depth (62/104 cards left, 4 Rank-4 remaining), 4% Vig settlement locks Banker EV at -0.4988% and Player EV at -1.3373% with 9.5326% Ties.
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