Removing 3 of 4 Seven-Pip Card (Rank-7) cards at 60% penetration of a 1-deck (52-card) shoe leaves 1 Rank-7 cards inside a 21-card stub (DEP068), producing 45.9565% Banker wins, 44.5280% Player wins, 9.5155% Ties, and a 0.8248% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (PPBBPBPBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP068 (1D Rank-7 at 60% 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.
60% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
3 7-pip cards (Player stand total and Dragon 7 boundary) removed from the 1D pack.
Resolved at 45.9565% Banker win rate under EZ Baccarat settlement.
Resolved at 44.5280% Player win rate with 0.9376 unit standard deviation.
Produces a 14.3602% house hold on the 8-to-1 Tie wager in state DEP068.
Exact conditional enumeration DEP068 for a 1D shoe at 60% depth (21/52 cards undealt) with 1 remaining Rank-7 cards confirms a 0.8248% Banker edge (EZ Bar-7), 1.4286% Player edge, and 14.3602% Tie edge.
When 3 Rank-7 cards exit a 1D shoe by 60% penetration (DEP068, 1 left in 21 cards), depleting 7s lowers the (dep068-rank-7) rate of winning three-card banker (21c) 7 hands (the barred push (dep068-rank-7·21c) total on ez baccarat tables), combining a -0.83 bps rank vector with EZ Baccarat settlement (-0.8248% Banker EV).
| Wager / Metric | State DEP068 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP068 Banker (EZ Bar-7) | 45.9565% (-0.8248% EV) | 45.9595% | DEP068 1D 60% (1 Rank-7) |
| DEP068 Player (1:1) | 44.5280% (-1.4286% EV) | 44.5249% | DEP068 21-card 1D stub (0.9376 SD) |
| DEP068 Tie (8:1) | 9.5155% (-14.3602% EV) | 9.5156% | DEP068 Rank-7 (3 out, 1 in) |
Whether DEP068 is observed in single-deck laboratory benchmarks and historical pitch audits at 60% depth (21/52 cards left, 1 Rank-7 remaining), EZ Bar-7 settlement locks Banker EV at -0.8248% and Player EV at -1.4286% with 9.5155% Ties.
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