Removing 26 of 32 Six-Pip Card (Rank-6) cards at 70% penetration of a 8-deck (416-card) shoe leaves 6 Rank-6 cards inside a 125-card stub (DEP420), producing 45.8550% Banker wins, 44.6294% Player wins, 9.5155% Ties, and a 1.0671% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPBPBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP420 (8D Rank-6 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 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.
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 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
26 6-pip cards (standing threshold and Banker 6 trigger) removed from the 8D pack.
Resolved at 45.8550% Banker win rate under 5% settlement.
Resolved at 44.6294% Player win rate with 0.9383 unit standard deviation.
Produces a 14.3603% house hold on the 8-to-1 Tie wager in state DEP420.
Quantitative proof DEP420 documents 8D rank depletion at 70% depth: 26 exited Rank-6 cards leave 6 of 32 in the 125-card stub, generating 45.8550% Banker wins (-1.0671% EV under 5% Vig) and 44.6294% Player wins.
Comparing initial 416-card 8D weights against stub DEP420 (125 cards, 70% depth, 6 Rank-6 left) illustrates how banker 6 only draws (dep420) when player pulls a third-card (8d-70%) 6 or 7; depleting 6s (dep420·8d-70%) directly alters both banker 6 draws and super 6 settlement frequency (-1.13 bps slope, 1.0671% 5% Vig edge).
| Wager / Metric | State DEP420 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP420 Banker (5% Vig) | 45.8550% (-1.0671% EV) | 45.8597% | DEP420 8D 70% (6 Rank-6) |
| DEP420 Player (1:1) | 44.6294% (-1.2256% EV) | 44.6247% | DEP420 125-card 8D stub (0.9383 SD) |
| DEP420 Tie (8:1) | 9.5155% (-14.3603% EV) | 9.5156% | DEP420 Rank-6 (26 out, 6 in) |
Statistical verification of DEP420 (8D, 70% penetration, 6 Six-Pip Card cards in 125 stub cards) demonstrates why single-rank depletion (26 Rank-6 dealt) shifts edges by basis points around -1.0671% (5% Vig).
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