Removing 31 of 32 Six-Pip Card (Rank-6) cards at 85% penetration of a 8-deck (416-card) shoe leaves 1 Rank-6 cards inside a 62-card stub (DEP423), producing 45.8537% Banker wins, 44.6308% Player wins, 9.5155% Ties, and a 1.0305% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (BBPPBBPBPBPPBBPPBP) illustrating derived-road symmetry checks alongside DEP423 (8D Rank-6 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 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.
85% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
31 6-pip cards (standing threshold and Banker 6 trigger) removed from the 8D pack.
Resolved at 45.8537% Banker win rate under EZ Baccarat settlement.
Resolved at 44.6308% Player win rate with 0.9398 unit standard deviation.
Produces a 14.3606% house hold on the 8-to-1 Tie wager in state DEP423.
When a 8D shoe reaches 85% cut-card depth (62 of 416 cards undealt, state DEP423) with 31 Six-Pip Card cards removed and 1 remaining, Player wins 44.6308% (1.2229% edge) while Banker wins 45.8537% (1.0305% edge under EZ Baccarat).
Why does Rank-6 carry a -1.13 bps per-card effect in DEP423? Banker 6 only draws (DEP423) when Player pulls a third-card (8D-85%) 6 or 7; depleting 6s (DEP423·8D-85%) directly alters both Banker 6 draws and Super 6 settlement frequency, and at 85% penetration (1 Six-Pip Card cards left in 62 8D cards), at 85% cut-card penetration, (dep423-8d) only 15% of the pack (1/32) remains and winning 3-card banker (dep423-8d·1/32) 7 hands push.
| Wager / Metric | State DEP423 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP423 Banker (EZ Bar-7) | 45.8537% (-1.0305% EV) | 45.8597% | DEP423 8D 85% (1 Rank-6) |
| DEP423 Player (1:1) | 44.6308% (-1.2229% EV) | 44.6247% | DEP423 62-card 8D stub (0.9398 SD) |
| DEP423 Tie (8:1) | 9.5155% (-14.3606% EV) | 9.5156% | DEP423 Rank-6 (31 out, 1 in) |
Learners auditing DEP423 (8D at 85% depth, 1/32 Rank-6 in 62 stub cards) can verify that EZ Baccarat house hold (1.0305% Banker, 1.2229% Player, 14.3606% Tie) operates independently of prior Big Road streaks.
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