Removing 6 of 8 Eight-Pip Card (Rank-8) cards at 70% penetration of a 2-deck (104-card) shoe leaves 2 Rank-8 cards inside a 31-card stub (DEP168), producing 45.8979% Banker wins, 44.5696% Player wins, 9.5325% Ties, and a 0.9666% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPPBPBPBBPPBBPB) illustrating derived-road symmetry checks alongside DEP168 (2D Rank-8 at 70% 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.
70% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
6 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 2D pack.
Resolved at 45.8979% Banker win rate under 5% settlement.
Resolved at 44.5696% Player win rate with 0.9389 unit standard deviation.
Produces a 14.2073% house hold on the 8-to-1 Tie wager in state DEP168.
Quantitative proof DEP168 documents 2D rank depletion at 70% depth: 6 exited Rank-8 cards leave 2 of 8 in the 31-card stub, generating 45.8979% Banker wins (-0.9666% EV under 5% Vig) and 44.5696% Player wins.
Why does Rank-8 carry a -0.50 bps per-card effect in DEP168? On Banker total 3, (DEP168) Banker draws against every Player (2D-70%) third card except 8; removing (DEP168·2D-70%) 8s eliminates Banker 3's sole standing exception, and at 70% penetration (2 Eight-Pip Card cards left in 31 2D cards), with 70% of cards (dep168-2d) dealt and 30% remaining ahead (2/8) of the cut card, winning (dep168-2d·2/8) banker bets pay 0.95 to 1.
| Wager / Metric | State DEP168 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP168 Banker (5% Vig) | 45.8979% (-0.9666% EV) | 45.8998% | DEP168 2D 70% (2 Rank-8) |
| DEP168 Player (1:1) | 44.5696% (-1.3283% EV) | 44.5676% | DEP168 31-card 2D stub (0.9389 SD) |
| DEP168 Tie (8:1) | 9.5325% (-14.2073% EV) | 9.5326% | DEP168 Rank-8 (6 out, 2 in) |
For DEP168 (31 remaining cards in a 104-card 2D shoe at 70% depth), tracking all 6 exited Rank-8 cards moves Banker win rate to 45.8979% (-0.9666% EV, 5% Vig) and Player to 44.5696% (-1.3283% EV).
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