Removing 2 of 16 Nine-Pip Card (Rank-9) cards at 10% penetration of a 4-deck (208-card) shoe leaves 14 Rank-9 cards inside a 187-card stub (DEP262), producing 45.8731% Banker wins, 44.5851% Player wins, 9.5418% Ties, and a 1.0057% Banker house edge under 5%.
Reference shoe scoreboard (PPBBBPPPBBPBTBPBPP) illustrating derived-road symmetry checks alongside DEP262 (4D Rank-9 at 10% depth).
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.
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.
10% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).
2 9-pip cards (top Natural 9 generator) removed from the 4D pack.
Resolved at 45.8731% Banker win rate under 5% settlement.
Resolved at 44.5851% Player win rate with 0.9332 unit standard deviation.
Produces a 14.1238% house hold on the 8-to-1 Tie wager in state DEP262.
Depletion matrix entry DEP262 pairs 4D (208 cards) at 10% penetration with 2 removed Nine-Pip Card cards (14 left in 187 cards), fixing per-hand volatility at 0.9332 and Banker house hold at 1.0057% (5% Vig).
Comparing initial 208-card 4D weights against stub DEP262 (187 cards, 10% depth, 14 Rank-9 left) illustrates how rank 9 paired with (dep262) any ten or face card (4d-10%) creates an unbeatable two-card natural (dep262·4d-10%) 9 that halts all third-card drawing on both sides (-0.23 bps slope, 1.0057% 5% Vig edge).
| Wager / Metric | State DEP262 Value | 4D Baseline | Settlement Note |
|---|---|---|---|
| DEP262 Banker (5% Vig) | 45.8731% (-1.0057% EV) | 45.8732% | DEP262 4D 10% (14 Rank-9) |
| DEP262 Player (1:1) | 44.5851% (-1.2880% EV) | 44.5850% | DEP262 187-card 4D stub (0.9332 SD) |
| DEP262 Tie (8:1) | 9.5418% (-14.1238% EV) | 9.5418% | DEP262 Rank-9 (2 out, 14 in) |
Synthesizing DEP262 (4D at 10% depth, 14 Nine-Pip Card cards left inside 187 stub cards): 5% rules produce a 1.0057% Banker edge, 1.2880% Player edge, 14.1238% Tie edge, and 0.9332 unit volatility.
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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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