Removing 6 of 8 Seven-Pip Card (Rank-7) cards at 70% penetration of a 2-deck (104-card) shoe leaves 2 Rank-7 cards inside a 31-card stub (DEP159), producing 45.8966% Banker wins, 44.5708% Player wins, 9.5325% Ties, and a 0.9690% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBBPPBBPPBPTBPB) illustrating derived-road symmetry checks alongside DEP159 (2D Rank-7 at 70% 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 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.
70% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
6 7-pip cards (Player stand total and Dragon 7 boundary) removed from the 2D pack.
Resolved at 45.8966% Banker win rate under 5% settlement.
Resolved at 44.5708% Player win rate with 0.9386 unit standard deviation.
Produces a 14.2073% house hold on the 8-to-1 Tie wager in state DEP159.
At 70% penetration of a 104-card (2D) shoe, state DEP159 isolates 6 dealt Rank-7 cards (2 remaining inside 31 stub cards), yielding 45.8966% Banker wins, 44.5708% Player wins, and 0.9386 per-hand standard deviation under 5%.
When 6 Rank-7 cards exit a 2D shoe by 70% penetration (DEP159, 2 left in 31 cards), depleting 7s lowers the (dep159-rank-7) rate of winning three-card banker (31c) 7 hands (the barred push (dep159-rank-7·31c) total on ez baccarat tables), combining a -0.83 bps rank vector with 5% settlement (-0.9690% Banker EV).
| Wager / Metric | State DEP159 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP159 Banker (5% Vig) | 45.8966% (-0.9690% EV) | 45.8998% | DEP159 2D 70% (2 Rank-7) |
| DEP159 Player (1:1) | 44.5708% (-1.3258% EV) | 44.5676% | DEP159 31-card 2D stub (0.9386 SD) |
| DEP159 Tie (8:1) | 9.5325% (-14.2073% EV) | 9.5326% | DEP159 Rank-7 (6 out, 2 in) |
Whether DEP159 is observed in double-deck European salon privé carriers and two-deck shoe pits at 70% depth (31/104 cards left, 2 Rank-7 remaining), 5% Vig settlement locks Banker EV at -0.9690% and Player EV at -1.3258% with 9.5325% Ties.
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