Removing 18 of 32 Two-Pip (Deuce) (Rank-2) cards at 50% penetration of a 8-deck (416-card) shoe leaves 14 Rank-2 cards inside a 208-card stub (DEP382), producing 45.8610% Banker wins, 44.6233% Player wins, 9.5157% Ties, and a 1.4553% Banker house edge under Super 6.
Reference shoe scoreboard (PPBBPBPPBBPBPPBBPB) illustrating derived-road symmetry checks alongside DEP382 (8D Rank-2 at 50% 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 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.
This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.
50% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
18 2-pip cards across all four suits removed from the 8D pack.
Resolved at 45.8610% Banker win rate under Super 6 settlement.
Resolved at 44.6233% Player win rate with 0.9351 unit standard deviation.
Produces a 14.3591% house hold on the 8-to-1 Tie wager in state DEP382.
Finite-shoe specification DEP382 tracks Rank-2 removal at 50% depth in 8-deck play: with 14 of 32 Two-Pip (Deuce) cards left in the 208-card stub, Tie incidence is 9.5157% and Banker expectation settles at -1.4553% (Super 6).
Tracking DEP382 across 208 remaining 8D cards (50% depth) shows that depleting 2s shifts the (dep382-rank-2) probability of banker converting a (208c) two-card 4 or 5 into (dep382-rank-2·208c) a winning three-card 6 or 7. With 18 Rank-2 cards gone (+0.52 bps unit sensitivity), Banker expectation is -1.4553% (Super 6) vs -1.2377% on Player.
| Wager / Metric | State DEP382 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP382 Banker (Super 6) | 45.8610% (-1.4553% EV) | 45.8597% | DEP382 8D 50% (14 Rank-2) |
| DEP382 Player (1:1) | 44.6233% (-1.2377% EV) | 44.6247% | DEP382 208-card 8D stub (0.9351 SD) |
| DEP382 Tie (8:1) | 9.5157% (-14.3591% EV) | 9.5156% | DEP382 Rank-2 (18 out, 14 in) |
Statistical verification of DEP382 (8D, 50% penetration, 14 Two-Pip (Deuce) cards in 208 stub cards) demonstrates why single-rank depletion (18 Rank-2 dealt) shifts edges by basis points around -1.4553% (Super 6).
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