Removing 7 of 8 Nine-Pip Card (Rank-9) cards at 85% penetration of a 2-deck (104-card) shoe leaves 1 Rank-9 cards inside a 16-card stub (DEP180), producing 45.8987% Banker wins, 44.5687% Player wins, 9.5326% Ties, and a 0.9234% Banker house edge under EZ Baccarat.
Reference shoe scoreboard (PPBBPBPBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP180 (2D Rank-9 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.
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.
85% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).
7 9-pip cards (top Natural 9 generator) removed from the 2D pack.
Resolved at 45.8987% Banker win rate under EZ Baccarat settlement.
Resolved at 44.5687% Player win rate with 0.9407 unit standard deviation.
Produces a 14.2070% house hold on the 8-to-1 Tie wager in state DEP180.
Exact conditional enumeration DEP180 for a 2D shoe at 85% depth (16/104 cards undealt) with 1 remaining Rank-9 cards confirms a 0.9234% Banker edge (EZ Bar-7), 1.3300% Player edge, and 14.2070% Tie edge.
Tracking DEP180 across 16 remaining 2D cards (85% depth) shows that when 9s are depleted (dep180-rank-9) late in the shoe, more (16c) hands bypass four-card natural resolution (dep180-rank-9·16c) and enter the five- and six-card tableau. With 7 Rank-9 cards gone (-0.23 bps unit sensitivity), Banker expectation is -0.9234% (EZ Bar-7) vs -1.3300% on Player.
| Wager / Metric | State DEP180 Value | 2D Baseline | Settlement Note |
|---|---|---|---|
| DEP180 Banker (EZ Bar-7) | 45.8987% (-0.9234% EV) | 45.8998% | DEP180 2D 85% (1 Rank-9) |
| DEP180 Player (1:1) | 44.5687% (-1.3300% EV) | 44.5676% | DEP180 16-card 2D stub (0.9407 SD) |
| DEP180 Tie (8:1) | 9.5326% (-14.2070% EV) | 9.5326% | DEP180 Rank-9 (7 out, 1 in) |
Across 100-hand session horizons at state DEP180 (2D 85% depth, 1/8 Rank-9 in 16 cards), single-hand dispersion (0.9407 SD) dominates the 0.9234% (EZ Bar-7) Banker and 1.3300% Player expectation gap.
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About 64 minutes of lessons covering outcomes, the Bead Plate, Big Road columns, and dragon tails.
Train Third-Card Rule decisions, depth counting, lookback column references, and derived-road speed recognition.
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