Removing 9 of 32 Six-Pip Card (Rank-6) cards at 25% penetration of a 8-deck (416-card) shoe leaves 23 Rank-6 cards inside a 312-card stub (DEP416), producing 45.8585% Banker wins, 44.6260% Player wins, 9.5156% Ties, and a 1.0604% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPPBBPPBBPBTBPB) illustrating derived-road symmetry checks alongside DEP416 (8D Rank-6 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.
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.
25% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
9 6-pip cards (standing threshold and Banker 6 trigger) removed from the 8D pack.
Resolved at 45.8585% Banker win rate under 5% settlement.
Resolved at 44.6260% Player win rate with 0.9338 unit standard deviation.
Produces a 14.3598% house hold on the 8-to-1 Tie wager in state DEP416.
Depletion matrix entry DEP416 pairs 8D (416 cards) at 25% penetration with 9 removed Six-Pip Card cards (23 left in 312 cards), fixing per-hand volatility at 0.9338 and Banker house hold at 1.0604% (5% Vig).
Combinatorial weighting in DEP416 (312 cards left from 416 at 25% depth) is governed by two rules: banker 6 only draws (dep416) when player pulls a third-card (8d-25%) 6 or 7; depleting 6s (dep416·8d-25%) directly alters both banker 6 draws and super 6 settlement frequency, and one-quarter of the shoe (dep416-8d) has exited the carrier and (23/32) winning banker wagers pay 0.95 (dep416-8d·23/32) to 1 after 5% house tax (-1.13 bps per Rank-6 removed).
| Wager / Metric | State DEP416 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP416 Banker (5% Vig) | 45.8585% (-1.0604% EV) | 45.8597% | DEP416 8D 25% (23 Rank-6) |
| DEP416 Player (1:1) | 44.6260% (-1.2325% EV) | 44.6247% | DEP416 312-card 8D stub (0.9338 SD) |
| DEP416 Tie (8:1) | 9.5156% (-14.3598% EV) | 9.5156% | DEP416 Rank-6 (9 out, 23 in) |
Scoreboard literacy in DEP416 separates two independent concepts: 8D card-removal math (23 Rank-6 left in 312 cards at 25% depth, 0.9338 volatility) and derived-road comparison rules (Rule 1 column-depth checks and Rule 2 two-cell lookbacks).
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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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