Removing 9 of 32 Four-Pip Card (Rank-4) cards at 25% penetration of a 8-deck (416-card) shoe leaves 23 Rank-4 cards inside a 312-card stub (DEP398), producing 45.8610% Banker wins, 44.6234% Player wins, 9.5156% Ties, and a 1.0554% Banker house edge under 5%.
Reference shoe scoreboard (PPBBPBPPBBPBPPBBPB) illustrating derived-road symmetry checks alongside DEP398 (8D Rank-4 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 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.
This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.
25% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).
9 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 8D pack.
Resolved at 45.8610% Banker win rate under 5% settlement.
Resolved at 44.6234% Player win rate with 0.9332 unit standard deviation.
Produces a 14.3594% house hold on the 8-to-1 Tie wager in state DEP398.
Under 5% settlement (5% Vig), combinatorial state DEP398 models a 8D carrier with 312 cards left (25% dealt) and 23/32 Four-Pip Card cards remaining, producing a 1.0554% Banker edge versus 1.2376% on Player.
Removing 4s produces the (DEP398-Rank-4) single largest per-card shift toward (312c) Banker (and away from Player) (DEP398-Rank-4·312c) of any rank in the shoe. Because 9 of 32 Four-Pip Card cards are absent in DEP398 at 25% 8D penetration (312 cards left), per-card sensitivity (+1.19 bps) interacts directly with quarter-shoe 25% penetration depth (DEP398) under standard 5% Banker commission (Rank-4) (0.95:1 payout).
| Wager / Metric | State DEP398 Value | 8D Baseline | Settlement Note |
|---|---|---|---|
| DEP398 Banker (5% Vig) | 45.8610% (-1.0554% EV) | 45.8597% | DEP398 8D 25% (23 Rank-4) |
| DEP398 Player (1:1) | 44.6234% (-1.2376% EV) | 44.6247% | DEP398 312-card 8D stub (0.9332 SD) |
| DEP398 Tie (8:1) | 9.5156% (-14.3594% EV) | 9.5156% | DEP398 Rank-4 (9 out, 23 in) |
Even at 25% penetration in DEP398 where 9 Rank-4 cards have exited a 8D shoe (23 left in 312 cards), derived-road red and blue entries measure structural regularity on the Big Road—not whether Banker (-1.0554% EV, 5% Vig) or Player (-1.2376% EV) is favored next.
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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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Macau Cantonese, French, and mathematical table terms explained in plain English with road diagrams.
Direct answers to real student questions on dragon tails, tie handling, lookback rules, and table variants.
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