Removing 3 of 4 Nine-Pip Card (Rank-9) cards at 70% penetration of a 1-deck (52-card) shoe leaves 1 Rank-9 cards inside a 16-card stub (DEP087), producing 45.9586% Banker wins, 44.5258% Player wins, 9.5156% Ties, and a 0.8651% Banker house edge under 5%.
Reference shoe scoreboard (BBPPBBPBPBPPBBPPBP) illustrating derived-road symmetry checks alongside DEP087 (1D Rank-9 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 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.
70% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).
3 9-pip cards (top Natural 9 generator) removed from the 1D pack.
Resolved at 45.9586% Banker win rate under 5% settlement.
Resolved at 44.5258% Player win rate with 0.9392 unit standard deviation.
Produces a 14.3599% house hold on the 8-to-1 Tie wager in state DEP087.
When a 1D shoe reaches 70% cut-card depth (16 of 52 cards undealt, state DEP087) with 3 Nine-Pip Card cards removed and 1 remaining, Player wins 44.5258% (1.4328% edge) while Banker wins 45.9586% (0.8651% edge under 5%).
For DEP087 (1-deck shoe, 70% dealt), rank 9 paired with (dep087) any ten or face card (1d-70%) creates an unbeatable two-card natural (dep087·1d-70%) 9 that halts all third-card drawing on both sides. Holding 1 of 4 Rank-9 cards in a 16-card stub with -0.23 bps rank slope yields 45.9586% Banker, 44.5258% Player, and 9.5156% Tie.
| Wager / Metric | State DEP087 Value | 1D Baseline | Settlement Note |
|---|---|---|---|
| DEP087 Banker (5% Vig) | 45.9586% (-0.8651% EV) | 45.9595% | DEP087 1D 70% (1 Rank-9) |
| DEP087 Player (1:1) | 44.5258% (-1.4328% EV) | 44.5249% | DEP087 16-card 1D stub (0.9392 SD) |
| DEP087 Tie (8:1) | 9.5156% (-14.3599% EV) | 9.5156% | DEP087 Rank-9 (3 out, 1 in) |
Statistical verification of DEP087 (1D, 70% penetration, 1 Nine-Pip Card cards in 16 stub cards) demonstrates why single-rank depletion (3 Rank-9 dealt) shifts edges by basis points around -0.8651% (5% Vig).
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