Removing 15 of 16 Five-Pip Card (Rank-5) cards at 85% penetration of a 4-deck (208-card) shoe leaves 1 Rank-5 cards inside a 31-card stub (DEP234), producing 45.8689% Banker wins, 44.5894% Player wins, 9.5417% Ties, and a 0.9739% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (PPBBPBTBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP234 (4D Rank-5 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.
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.
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 5-pip cards (final mandatory Player draw threshold) removed from the 4D pack.
Resolved at 45.8689% Banker win rate under EZ Baccarat settlement.
Resolved at 44.5894% Player win rate with 0.9395 unit standard deviation.
Produces a 14.1247% house hold on the 8-to-1 Tie wager in state DEP234.
Depletion matrix entry DEP234 pairs 4D (208 cards) at 85% penetration with 15 removed Five-Pip Card cards (1 left in 31 cards), fixing per-hand volatility at 0.9395 and Banker house hold at 0.9739% (EZ Bar-7).
For DEP234 (4-deck shoe, 85% dealt), because player draws on (dep234) two-card 5 and stands on (4d-85%) 6, while banker 3, 4, (dep234·4d-85%) and 5 all draw against a player third-card 5, rank 5 favors player when depleted. Holding 1 of 16 Rank-5 cards in a 31-card stub with -0.84 bps rank slope yields 45.8689% Banker, 44.5894% Player, and 9.5417% Tie.
| Wager / Metric | State DEP234 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP234 Banker (EZ Bar-7) | 45.8689% (-0.9739% EV) | 45.8732% | DEP234 4D 85% (1 Rank-5) |
| DEP234 Player (1:1) | 44.5894% (-1.2795% EV) | 44.5850% | DEP234 31-card 4D stub (0.9395 SD) |
| DEP234 Tie (8:1) | 9.5417% (-14.1247% EV) | 9.5418% | DEP234 Rank-5 (15 out, 1 in) |
Across 100-hand session horizons at state DEP234 (4D 85% depth, 1/16 Rank-5 in 31 cards), single-hand dispersion (0.9395 SD) dominates the 0.9739% (EZ Bar-7) Banker and 1.2795% Player expectation gap.
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