Removing 11 of 16 Four-Pip Card (Rank-4) cards at 60% penetration of a 4-deck (208-card) shoe leaves 5 Rank-4 cards inside a 83-card stub (DEP221), producing 45.8771% Banker wins, 44.5810% Player wins, 9.5419% Ties, and a 0.9573% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (BBPPBPBBPPBPBBPPBP) illustrating derived-road symmetry checks alongside DEP221 (4D Rank-4 at 60% 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.
This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.
60% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
11 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 4D pack.
Resolved at 45.8771% Banker win rate under EZ Baccarat settlement.
Resolved at 44.5810% Player win rate with 0.9367 unit standard deviation.
Produces a 14.1232% house hold on the 8-to-1 Tie wager in state DEP221.
Removing 11 of 16 Rank-4 cards by the 60% mark of a 4-deck shoe (DEP221, 83 cards left) leaves 5 Four-Pip Card cards and adjusts conditional probabilities to 45.8771% Banker, 44.5810% Player, and 9.5419% Tie under EZ Baccarat.
Why does Rank-4 carry a +1.19 bps per-card effect in DEP221? Rank 4 sits at (DEP221) the exact pivot where Banker (4D-60%) 5 begins drawing (Player third (DEP221·4D-60%) card 4–7) while Banker 3 and 4 also draw, and at 60% penetration (5 Four-Pip Card cards left in 83 4D cards), banker wins pay 1:1 (dep221-4d) with zero commission except when (5/16) banker wins with a three-card (dep221-4d·5/16) total of 7, which pushes.
| Wager / Metric | State DEP221 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP221 Banker (EZ Bar-7) | 45.8771% (-0.9573% EV) | 45.8732% | DEP221 4D 60% (5 Rank-4) |
| DEP221 Player (1:1) | 44.5810% (-1.2961% EV) | 44.5850% | DEP221 83-card 4D stub (0.9367 SD) |
| DEP221 Tie (8:1) | 9.5419% (-14.1232% EV) | 9.5418% | DEP221 Rank-4 (11 out, 5 in) |
In studio and floor audits of DEP221 (83 cards undealt out of 208 in 4D at 60% depth), a 0.9367 unit standard deviation accompanies the 5-card Rank-4 stub under EZ Bar-7 (45.8771% Banker vs 44.5810% Player).
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