Removing 7 of 8 Three-Pip (Trey) (Rank-3) cards at 80% penetration of a 2-deck (104-card) shoe leaves 1 Rank-3 cards inside a 21-card stub (DEP125), producing 45.9028% Banker wins, 44.5645% Player wins, 9.5327% Ties, and a 1.3546% Banker house edge under Super 6.
Reference shoe scoreboard (BBPPBPBBPPBPBBPPBP) illustrating derived-road symmetry checks alongside DEP125 (2D Rank-3 at 80% 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.
80% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
7 3-pip cards across all four suits removed from the 2D pack.
Resolved at 45.9028% Banker win rate under Super 6 settlement.
Resolved at 44.5645% Player win rate with 0.9384 unit standard deviation.
Produces a 14.2058% house hold on the 8-to-1 Tie wager in state DEP125.
Shoe-stub analysis DEP125 inspects 21 remaining cards at 80% penetration of a 104-card (2D) pack after 7 Three-Pip (Trey) cards have cleared, leaving 1 Rank-3 cards and a 1.3546% Super 6 Banker edge.
Combinatorial weighting in DEP125 (21 cards left from 104 at 80% depth) is governed by two rules: banker total 4 draws (dep125) on player third-card 3, and (2d-80%) banker total 5 stands on (dep125·2d-80%) player third-card 3, creating asymmetric sensitivity, and only 20% of the (dep125-2d) initial shoe remains undealt while (1/8) winning banker 6 hands forfeit (dep125-2d·1/8) half their payout (+0.65 bps per Rank-3 removed).
| Wager / Metric | State DEP125 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP125 Banker (Super 6) | 45.9028% (-1.3546% EV) | 45.8998% | DEP125 2D 80% (1 Rank-3) |
| DEP125 Player (1:1) | 44.5645% (-1.3384% EV) | 44.5676% | DEP125 21-card 2D stub (0.9384 SD) |
| DEP125 Tie (8:1) | 9.5327% (-14.2058% EV) | 9.5326% | DEP125 Rank-3 (7 out, 1 in) |
Comparing DEP125 (80% 2D depth, 7 Rank-3 removed, 1 remaining in 21 cards) against fresh-shoe baselines shows how finite-stub variance (0.9384 SD) coexists with a 1.3546% Super 6 Banker house edge.
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