Removing 2 of 8 Four-Pip Card (Rank-4) cards at 25% penetration of a 2-deck (104-card) shoe leaves 6 Rank-4 cards inside a 78-card stub (DEP128), producing 45.9010% Banker wins, 44.5664% Player wins, 9.5326% Ties, and a 0.9605% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPPBBPPBBPBTBPB) illustrating derived-road symmetry checks alongside DEP128 (2D Rank-4 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 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.
25% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
2 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 2D pack.
Resolved at 45.9010% Banker win rate under 5% settlement.
Resolved at 44.5664% Player win rate with 0.9332 unit standard deviation.
Produces a 14.2064% house hold on the 8-to-1 Tie wager in state DEP128.
In combinatorial record DEP128, depleting 2 Rank-4 cards across 25% of a 2D (104-card) pack leaves 6 Four-Pip Card cards among 78 remaining cards, setting Banker win probability to 45.9010% and house edge to 0.9605% (5% Vig).
Rank 4 sits at (DEP128) the exact pivot where Banker (2D-25%) 5 begins drawing (Player third (DEP128·2D-25%) card 4–7) while Banker 3 and 4 also draw. In state DEP128 (2D, 25% depth), each removed Rank-4 card applies a +1.19 bps baseline directional pressure before scaling to the 78-card remainder (6 Rank-4 left), while One-quarter of the shoe (DEP128-2D) has exited the carrier and (6/8) winning Banker wagers pay 0.95 (DEP128-2D·6/8) to 1 after 5% house tax.
| Wager / Metric | State DEP128 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP128 Banker (5% Vig) | 45.9010% (-0.9605% EV) | 45.8998% | DEP128 2D 25% (6 Rank-4) |
| DEP128 Player (1:1) | 44.5664% (-1.3345% EV) | 44.5676% | DEP128 78-card 2D stub (0.9332 SD) |
| DEP128 Tie (8:1) | 9.5326% (-14.2064% EV) | 9.5326% | DEP128 Rank-4 (2 out, 6 in) |
Scoreboard literacy in DEP128 separates two independent concepts: 2D card-removal math (6 Rank-4 left in 78 cards at 25% depth, 0.9332 volatility) and derived-road comparison rules (Rule 1 column-depth checks and Rule 2 two-cell lookbacks).
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