Removing 7 of 16 Three-Pip (Trey) (Rank-3) cards at 40% penetration of a 4-deck (208-card) shoe leaves 9 Rank-3 cards inside a 125-card stub (DEP210), producing 45.8744% Banker wins, 44.5837% Player wins, 9.5418% Ties, and a 0.5443% Banker house edge under 4%.
Reference shoe scoreboard (PPBBPPBBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP210 (4D Rank-3 at 40% 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 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.
40% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
7 3-pip cards across all four suits removed from the 4D pack.
Resolved at 45.8744% Banker win rate under 4% settlement.
Resolved at 44.5837% Player win rate with 0.9344 unit standard deviation.
Produces a 14.1235% house hold on the 8-to-1 Tie wager in state DEP210.
Quantitative proof DEP210 documents 4D rank depletion at 40% depth: 7 exited Rank-3 cards leave 9 of 16 in the 125-card stub, generating 45.8744% Banker wins (-0.5443% EV under 4% Vig) and 44.5837% Player wins.
Why does Rank-3 carry a +0.65 bps per-card effect in DEP210? Banker total 4 draws (DEP210) on Player third-card 3, and (4D-40%) Banker total 5 stands on (DEP210·4D-40%) Player third-card 3, creating asymmetric sensitivity, and at 40% penetration (9 Three-Pip (Trey) cards left in 125 4D cards), winning banker wagers collect (dep210-4d) 0.96 units per unit staked (9/16) with 60% of the shoe (dep210-4d·9/16) still inside the acrylic carrier.
| Wager / Metric | State DEP210 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP210 Banker (4% Vig) | 45.8744% (-0.5443% EV) | 45.8732% | DEP210 4D 40% (9 Rank-3) |
| DEP210 Player (1:1) | 44.5837% (-1.2907% EV) | 44.5850% | DEP210 125-card 4D stub (0.9344 SD) |
| DEP210 Tie (8:1) | 9.5418% (-14.1235% EV) | 9.5418% | DEP210 Rank-3 (7 out, 9 in) |
Cut-card protocol at 40% depth in DEP210 (4D, 125 stub cards containing 9 Rank-3 cards) ensures the shoe reshuffles long before 4% house hold (0.5443% Banker / 1.2907% Player) is overturned.
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About 64 minutes of lessons covering outcomes, the Bead Plate, Big Road columns, and dragon tails.
Train Third-Card Rule decisions, depth counting, lookback column references, and derived-road speed recognition.
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