Removing 15 of 16 Four-Pip Card (Rank-4) cards at 85% penetration of a 4-deck (208-card) shoe leaves 1 Rank-4 cards inside a 31-card stub (DEP225), producing 45.8793% Banker wins, 44.5788% Player wins, 9.5419% Ties, and a 0.9529% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (BBPPBBPPBPTBPBBPBP) illustrating derived-road symmetry checks alongside DEP225 (4D Rank-4 at 85% 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.
85% 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 45.8793% Banker win rate under EZ Baccarat settlement.
Resolved at 44.5788% Player win rate with 0.9392 unit standard deviation.
Produces a 14.1229% house hold on the 8-to-1 Tie wager in state DEP225.
Audit DEP225 evaluates a 4-deck (208-card) shoe at 85% penetration where 15 of 16 Four-Pip Card cards have exited, leaving 1 Rank-4 cards inside the 31-card stub with Banker EV at -0.9529% under EZ Baccarat.
Because removing 4s produces the (dep225-rank-4) single largest per-card shift toward (31c) banker (and away from player) (dep225-rank-4·31c) of any rank in the shoe, state DEP225 (85% 4D depth, 15 Rank-4 removed, 1 in 31 cards) registers a +1.19 bps rank derivative and 0.9529% Banker house edge (EZ Bar-7).
| Wager / Metric | State DEP225 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP225 Banker (EZ Bar-7) | 45.8793% (-0.9529% EV) | 45.8732% | DEP225 4D 85% (1 Rank-4) |
| DEP225 Player (1:1) | 44.5788% (-1.3005% EV) | 44.5850% | DEP225 31-card 4D stub (0.9392 SD) |
| DEP225 Tie (8:1) | 9.5419% (-14.1229% EV) | 9.5418% | DEP225 Rank-4 (15 out, 1 in) |
Comparing DEP225 (85% 4D depth, 15 Rank-4 removed, 1 remaining in 31 cards) against fresh-shoe baselines shows how finite-stub variance (0.9392 SD) coexists with a 0.9529% EZ Baccarat Banker house edge.
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