Removing 1 of 8 Four-Pip Card (Rank-4) cards at 10% penetration of a 2-deck (104-card) shoe leaves 7 Rank-4 cards inside a 94-card stub (DEP127), producing 45.9003% Banker wins, 44.5671% Player wins, 9.5326% Ties, and a 0.9618% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBBPPBBPPBPTBPB) illustrating derived-road symmetry checks alongside DEP127 (2D Rank-4 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 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.
10% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
1 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 2D pack.
Resolved at 45.9003% Banker win rate under 5% settlement.
Resolved at 44.5671% Player win rate with 0.9317 unit standard deviation.
Produces a 14.2065% house hold on the 8-to-1 Tie wager in state DEP127.
Audit DEP127 evaluates a 2-deck (104-card) shoe at 10% penetration where 1 of 8 Four-Pip Card cards have exited, leaving 7 Rank-4 cards inside the 94-card stub with Banker EV at -0.9618% under 5%.
In six-card resolution tree DEP127 (2D at 10% depth, 94 cards left), removing 4s produces the (dep127-rank-4) single largest per-card shift toward (94c) banker (and away from player) (dep127-rank-4·94c) of any rank in the shoe; removing 1 of 8 Rank-4 cards (+1.19 bps weight) leaves Banker at -0.9618% EV under 5%.
| Wager / Metric | State DEP127 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP127 Banker (5% Vig) | 45.9003% (-0.9618% EV) | 45.8998% | DEP127 2D 10% (7 Rank-4) |
| DEP127 Player (1:1) | 44.5671% (-1.3332% EV) | 44.5676% | DEP127 94-card 2D stub (0.9317 SD) |
| DEP127 Tie (8:1) | 9.5326% (-14.2065% EV) | 9.5326% | DEP127 Rank-4 (1 out, 7 in) |
Cut-card protocol at 10% depth in DEP127 (2D, 94 stub cards containing 7 Rank-4 cards) ensures the shoe reshuffles long before 5% house hold (0.9618% Banker / 1.3332% Player) is overturned.
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