Removing 23 of 24 Five-Pip Card (Rank-5) cards at 85% penetration of a 6-deck (312-card) shoe leaves 1 Rank-5 cards inside a 47-card stub (DEP324), producing 45.8604% Banker wins, 44.5948% Player wins, 9.5448% Ties, and a 0.9878% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (PPBBPBPBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP324 (6D 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.
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.
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 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).
23 5-pip cards (final mandatory Player draw threshold) removed from the 6D pack.
Resolved at 45.8604% Banker win rate under EZ Baccarat settlement.
Resolved at 44.5948% Player win rate with 0.9395 unit standard deviation.
Produces a 14.0968% house hold on the 8-to-1 Tie wager in state DEP324.
In combinatorial record DEP324, depleting 23 Rank-5 cards across 85% of a 6D (312-card) pack leaves 1 Five-Pip Card cards among 47 remaining cards, setting Banker win probability to 45.8604% and house edge to 0.9878% (EZ Bar-7).
Tracking DEP324 across 47 remaining 6D cards (85% depth) shows that fewer 5s in the (dep324-rank-5) stub reduce banker third-card improvements (47c) from 3 to 8 and (dep324-rank-5·47c) from 4 to 9. With 23 Rank-5 cards gone (-0.84 bps unit sensitivity), Banker expectation is -0.9878% (EZ Bar-7) vs -1.2656% on Player.
| Wager / Metric | State DEP324 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP324 Banker (EZ Bar-7) | 45.8604% (-0.9878% EV) | 45.8648% | DEP324 6D 85% (1 Rank-5) |
| DEP324 Player (1:1) | 44.5948% (-1.2656% EV) | 44.5903% | DEP324 47-card 6D stub (0.9395 SD) |
| DEP324 Tie (8:1) | 9.5448% (-14.0968% EV) | 9.5449% | DEP324 Rank-5 (23 out, 1 in) |
Learners auditing DEP324 (6D at 85% depth, 1/24 Rank-5 in 47 stub cards) can verify that EZ Baccarat house hold (0.9878% Banker, 1.2656% Player, 14.0968% Tie) operates independently of prior Big Road streaks.
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