Removing 23 of 24 Four-Pip Card (Rank-4) cards at 85% penetration of a 6-deck (312-card) shoe leaves 1 Rank-4 cards inside a 47-card stub (DEP315), producing 45.8710% Banker wins, 44.5840% Player wins, 9.5450% Ties, and a 0.9663% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (BBPPBBBBPPPPBBPPBP) illustrating derived-road symmetry checks alongside DEP315 (6D Rank-4 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 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.
85% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).
23 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 6D pack.
Resolved at 45.8710% Banker win rate under EZ Baccarat settlement.
Resolved at 44.5840% Player win rate with 0.9392 unit standard deviation.
Produces a 14.0950% house hold on the 8-to-1 Tie wager in state DEP315.
Card-removal benchmark DEP315 measures Four-Pip Card (Rank-4) scarcity at 85% depth in a 6-deck shoe: 23 removed ranks leave 1 in the 47-card remainder, shifting Banker win share to 45.8710% (0.9663% edge, EZ Bar-7).
Mechanical draw trees in DEP315 reflect how removing 4s produces the (dep315-rank-4) single largest per-card shift toward (47c) banker (and away from player) (dep315-rank-4·47c) of any rank in the shoe. At 85% 6D depth (1 Rank-4 left of 24 in 47 cards, +1.19 bps slope), at 85% cut-card penetration, (dep315-6d) only 15% of the pack (1/24) remains and winning 3-card banker (dep315-6d·1/24) 7 hands push.
| Wager / Metric | State DEP315 Value | 6D Baseline | Settlement Note |
|---|---|---|---|
| DEP315 Banker (EZ Bar-7) | 45.8710% (-0.9663% EV) | 45.8648% | DEP315 6D 85% (1 Rank-4) |
| DEP315 Player (1:1) | 44.5840% (-1.2871% EV) | 44.5903% | DEP315 47-card 6D stub (0.9392 SD) |
| DEP315 Tie (8:1) | 9.5450% (-14.0950% EV) | 9.5449% | DEP315 Rank-4 (23 out, 1 in) |
Comparing DEP315 (85% 6D depth, 23 Rank-4 removed, 1 remaining in 47 cards) against fresh-shoe baselines shows how finite-stub variance (0.9392 SD) coexists with a 0.9663% EZ Baccarat Banker house edge.
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