Removing 3 of 4 Seven-Pip Card (Rank-7) cards at 70% penetration of a 1-deck (52-card) shoe leaves 1 Rank-7 cards inside a 16-card stub (DEP069), producing 45.9563% Banker wins, 44.5281% Player wins, 9.5155% Ties, and a 0.8696% Banker house edge under 5%.
Reference shoe scoreboard (BBPPPBBBPPBPTBPBBP) illustrating derived-road symmetry checks alongside DEP069 (1D Rank-7 at 70% depth).
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
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.
70% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
3 7-pip cards (Player stand total and Dragon 7 boundary) removed from the 1D pack.
Resolved at 45.9563% Banker win rate under 5% settlement.
Resolved at 44.5281% Player win rate with 0.9386 unit standard deviation.
Produces a 14.3603% house hold on the 8-to-1 Tie wager in state DEP069.
Shoe-stub analysis DEP069 inspects 16 remaining cards at 70% penetration of a 52-card (1D) pack after 3 Seven-Pip Card cards have cleared, leaving 1 Rank-7 cards and a 0.8696% 5% Banker edge.
Tableau audit DEP069 confirms that player stands pat on (dep069) two-card 7, and a player (1d-70%) third-card 7 is the highest (dep069·1d-70%) card that forces banker 4, 5, and 6 to draw. Inside the 16-card 1D stub (70% depth, 1/4 Rank-7 remaining, -0.83 bps slope), standard deviation is 0.9386 under 5% Vig.
| Wager / Metric | State DEP069 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP069 Banker (5% Vig) | 45.9563% (-0.8696% EV) | 45.9595% | DEP069 1D 70% (1 Rank-7) |
| DEP069 Player (1:1) | 44.5281% (-1.4282% EV) | 44.5249% | DEP069 16-card 1D stub (0.9386 SD) |
| DEP069 Tie (8:1) | 9.5155% (-14.3603% EV) | 9.5156% | DEP069 Rank-7 (3 out, 1 in) |
In DEP069, the 16-card 1D stub (70% penetration, 3 of 4 Rank-7 dealt) yields 45.9563% Banker, 44.5281% Player, and 9.5155% Tie outcomes with 0.9386 dispersion under 5% Vig.
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