Removing 3 of 4 Four-Pip Card (Rank-4) cards at 75% penetration of a 1-deck (52-card) shoe leaves 1 Rank-4 cards inside a 13-card stub (DEP043), producing 45.9641% Banker wins, 44.5202% Player wins, 9.5157% Ties, and a 0.3946% Banker house edge under 4%.
Reference shoe scoreboard (BBPPBBBBPPPPBBPPBP) illustrating derived-road symmetry checks alongside DEP043 (1D Rank-4 at 75% 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.
75% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
3 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 1D pack.
Resolved at 45.9641% Banker win rate under 4% settlement.
Resolved at 44.5202% Player win rate with 0.9382 unit standard deviation.
Produces a 14.3589% house hold on the 8-to-1 Tie wager in state DEP043.
Audit DEP043 evaluates a 1-deck (52-card) shoe at 75% penetration where 3 of 4 Four-Pip Card cards have exited, leaving 1 Rank-4 cards inside the 13-card stub with Banker EV at -0.3946% under 4%.
When 3 Rank-4 cards exit a 1D shoe by 75% penetration (DEP043, 1 left in 13 cards), removing 4s produces the (dep043-rank-4) single largest per-card shift toward (13c) banker (and away from player) (dep043-rank-4·13c) of any rank in the shoe, combining a +1.19 bps rank vector with 4% settlement (-0.3946% Banker EV).
| Wager / Metric | State DEP043 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP043 Banker (4% Vig) | 45.9641% (-0.3946% EV) | 45.9595% | DEP043 1D 75% (1 Rank-4) |
| DEP043 Player (1:1) | 44.5202% (-1.4440% EV) | 44.5249% | DEP043 13-card 1D stub (0.9382 SD) |
| DEP043 Tie (8:1) | 9.5157% (-14.3589% EV) | 9.5156% | DEP043 Rank-4 (3 out, 1 in) |
Synthesizing DEP043 (1D at 75% depth, 1 Four-Pip Card cards left inside 13 stub cards): 4% rules produce a 0.3946% Banker edge, 1.4440% Player edge, 14.3589% Tie edge, and 0.9382 unit volatility.
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