Removing 15 of 16 Four-Pip Card (Rank-4) cards at 80% penetration of a 4-deck (208-card) shoe leaves 1 Rank-4 cards inside a 42-card stub (DEP224), producing 45.8791% Banker wins, 44.5789% Player wins, 9.5419% Ties, and a 1.3928% Banker house edge under Super 6.
Reference shoe scoreboard (PPBBPPBBPPBBPBTBPB) illustrating derived-road symmetry checks alongside DEP224 (4D Rank-4 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 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.
80% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
15 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 4D pack.
Resolved at 45.8791% Banker win rate under Super 6 settlement.
Resolved at 44.5789% Player win rate with 0.9387 unit standard deviation.
Produces a 14.1229% house hold on the 8-to-1 Tie wager in state DEP224.
Quantitative proof DEP224 documents 4D rank depletion at 80% depth: 15 exited Rank-4 cards leave 1 of 16 in the 42-card stub, generating 45.8791% Banker wins (-1.3928% EV under Super 6) and 44.5789% Player wins.
Mechanical draw trees in DEP224 reflect how removing 4s produces the (dep224-rank-4) single largest per-card shift toward (42c) banker (and away from player) (dep224-rank-4·42c) of any rank in the shoe. At 80% 4D depth (1 Rank-4 left of 16 in 42 cards, +1.19 bps slope), only 20% of the (dep224-4d) initial shoe remains undealt while (1/16) winning banker 6 hands forfeit (dep224-4d·1/16) half their payout.
| Wager / Metric | State DEP224 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP224 Banker (Super 6) | 45.8791% (-1.3928% EV) | 45.8732% | DEP224 4D 80% (1 Rank-4) |
| DEP224 Player (1:1) | 44.5789% (-1.3002% EV) | 44.5850% | DEP224 42-card 4D stub (0.9387 SD) |
| DEP224 Tie (8:1) | 9.5419% (-14.1229% EV) | 9.5418% | DEP224 Rank-4 (15 out, 1 in) |
Comparing DEP224 (80% 4D depth, 15 Rank-4 removed, 1 remaining in 42 cards) against fresh-shoe baselines shows how finite-stub variance (0.9387 SD) coexists with a 1.3928% Super 6 Banker house edge.
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