Removing 2 of 16 Two-Pip (Deuce) (Rank-2) cards at 10% penetration of a 4-deck (208-card) shoe leaves 14 Rank-2 cards inside a 187-card stub (DEP199), producing 45.8734% Banker wins, 44.5848% Player wins, 9.5418% Ties, and a 1.0050% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBBPBPBPPBBPPBP) illustrating derived-road symmetry checks alongside DEP199 (4D Rank-2 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 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.
10% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
2 2-pip cards across all four suits removed from the 4D pack.
Resolved at 45.8734% Banker win rate under 5% settlement.
Resolved at 44.5848% Player win rate with 0.9311 unit standard deviation.
Produces a 14.1237% house hold on the 8-to-1 Tie wager in state DEP199.
When a 4D shoe reaches 10% cut-card depth (187 of 208 cards undealt, state DEP199) with 2 Two-Pip (Deuce) cards removed and 14 remaining, Player wins 44.5848% (1.2887% edge) while Banker wins 45.8734% (1.0050% edge under 5%).
Mechanical draw trees in DEP199 reflect how depleting 2s shifts the (dep199-rank-2) probability of banker converting a (187c) two-card 4 or 5 into (dep199-rank-2·187c) a winning three-card 6 or 7. At 10% 4D depth (14 Rank-2 left of 16 in 187 cards, +0.52 bps slope), winning banker tickets pay (dep199-4d) 0.95 units per unit staked (14/16) while 90% of the initial (dep199-4d·14/16) shoe remains undealt.
| Wager / Metric | State DEP199 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP199 Banker (5% Vig) | 45.8734% (-1.0050% EV) | 45.8732% | DEP199 4D 10% (14 Rank-2) |
| DEP199 Player (1:1) | 44.5848% (-1.2887% EV) | 44.5850% | DEP199 187-card 4D stub (0.9311 SD) |
| DEP199 Tie (8:1) | 9.5418% (-14.1237% EV) | 9.5418% | DEP199 Rank-2 (2 out, 14 in) |
In DEP199, the 187-card 4D stub (10% penetration, 2 of 16 Rank-2 dealt) yields 45.8734% Banker, 44.5848% Player, and 9.5418% Tie outcomes with 0.9311 dispersion under 5% Vig.
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