Removing 9 of 32 Two-Pip (Deuce) (Rank-2) cards at 25% penetration of a 8-deck (416-card) shoe leaves 23 Rank-2 cards inside a 312-card stub (DEP380), producing 45.8603% Banker wins, 44.6241% Player wins, 9.5156% Ties, and a 1.0569% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPPPPBBBBPPBBPB) illustrating derived-road symmetry checks alongside DEP380 (8D Rank-2 at 25% 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.
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.
25% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
9 2-pip cards across all four suits removed from the 8D pack.
Resolved at 45.8603% Banker win rate under 5% settlement.
Resolved at 44.6241% Player win rate with 0.9326 unit standard deviation.
Produces a 14.3594% house hold on the 8-to-1 Tie wager in state DEP380.
In combinatorial record DEP380, depleting 9 Rank-2 cards across 25% of a 8D (416-card) pack leaves 23 Two-Pip (Deuce) cards among 312 remaining cards, setting Banker win probability to 45.8603% and house edge to 1.0569% (5% Vig).
In 8D audit DEP380 (312/416 stub at 25% depth), depleting 2s shifts the (dep380-rank-2) probability of banker converting a (312c) two-card 4 or 5 into (dep380-rank-2·312c) a winning three-card 6 or 7. Removing 9 Rank-2 cards (+0.52 bps per card) alongside 5% Vig rules sets Tie hold to 14.3594% (9.5156% frequency).
| Wager / Metric | State DEP380 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP380 Banker (5% Vig) | 45.8603% (-1.0569% EV) | 45.8597% | DEP380 8D 25% (23 Rank-2) |
| DEP380 Player (1:1) | 44.6241% (-1.2362% EV) | 44.6247% | DEP380 312-card 8D stub (0.9326 SD) |
| DEP380 Tie (8:1) | 9.5156% (-14.3594% EV) | 9.5156% | DEP380 Rank-2 (9 out, 23 in) |
In DEP380, the 312-card 8D stub (25% penetration, 9 of 32 Rank-2 dealt) yields 45.8603% Banker, 44.6241% Player, and 9.5156% Tie outcomes with 0.9326 dispersion under 5% Vig.
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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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