Removing 31 of 32 Four-Pip Card (Rank-4) cards at 85% penetration of a 8-deck (416-card) shoe leaves 1 Rank-4 cards inside a 62-card stub (DEP405), producing 45.8660% Banker wins, 44.6183% Player wins, 9.5157% Ties, and a 1.0057% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (BBPPPBBBPPBPTBPBBP) illustrating derived-road symmetry checks alongside DEP405 (8D Rank-4 at 85% depth).
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.
This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 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 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
31 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 8D pack.
Resolved at 45.8660% Banker win rate under EZ Baccarat settlement.
Resolved at 44.6183% Player win rate with 0.9392 unit standard deviation.
Produces a 14.3586% house hold on the 8-to-1 Tie wager in state DEP405.
Shoe-stub analysis DEP405 inspects 62 remaining cards at 85% penetration of a 416-card (8D) pack after 31 Four-Pip Card cards have cleared, leaving 1 Rank-4 cards and a 1.0057% EZ Baccarat Banker edge.
Combinatorial weighting in DEP405 (62 cards left from 416 at 85% depth) is governed by two rules: rank 4 sits at (dep405) the exact pivot where banker (8d-85%) 5 begins drawing (player third (dep405·8d-85%) card 4–7) while banker 3 and 4 also draw, and at 85% cut-card penetration, (dep405-8d) only 15% of the pack (1/32) remains and winning 3-card banker (dep405-8d·1/32) 7 hands push (+1.19 bps per Rank-4 removed).
| Wager / Metric | State DEP405 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP405 Banker (EZ Bar-7) | 45.8660% (-1.0057% EV) | 45.8597% | DEP405 8D 85% (1 Rank-4) |
| DEP405 Player (1:1) | 44.6183% (-1.2477% EV) | 44.6247% | DEP405 62-card 8D stub (0.9392 SD) |
| DEP405 Tie (8:1) | 9.5157% (-14.3586% EV) | 9.5156% | DEP405 Rank-4 (31 out, 1 in) |
Statistical verification of DEP405 (8D, 85% penetration, 1 Four-Pip Card cards in 62 stub cards) demonstrates why single-rank depletion (31 Rank-4 dealt) shifts edges by basis points around -1.0057% (EZ Bar-7).
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