In shoe-depletion analysis DEP189, 291 of 416 cards (70%) have exited the shoe, leaving 8 copies of Three (3) among 125 unseen cards (6.40% vs baseline 7.69%) and shifting B5 Draw 4-7 Gate frequency by -17 bps.
Scoreboard trajectory paired with 70% shoe-penetration state DEP189 (Three (3) -> 8/125).
Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.
This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).
Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.
Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).
Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.
Evaluated at Deep-Shoe Segment (5.6 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.
Compares depleted density 6.40% against fresh 8-deck baseline 7.69% for Three (3).
Net basis-point movement in Player 0..5 fifth-card drawing vs Banker standing frequency.
Card removal alters entry probabilities into (5, 4) but never alters the fixed DRAW rule.
Verified 6-card hand via resolveHand() at penetration checkpoint DEP189.
Composition analysis [DEP189] measures Three (3) scarcity at 291/416 cards: 8 left in 125 (6.40% vs 7.69%) changes arrival rates into the Banker 5 four-value draw threshold against 4..7.
[DEP189-B] Thinning Three (3) (3 pts) in [DEP189] produces a -17-bps Player draw delta and 26-bps Banker stand delta; nevertheless, Banker 5 facing 4 always draws a sixth card.
| DEP189 Metric | DEP189 Fresh 416-Shoe | DEP189 At 291 Dealt | DEP189 Tableau Effect |
|---|---|---|---|
| [DEP189:Shoe] | 416 Cards (0% Dealt) | 125 Left (70% Dealt) | Deep-Shoe Segment (5.6 decks dealt) |
| [DEP189:Rank] | 32/416 (7.69%) | 8/125 (6.40%) | Point Value 3 |
| [DEP189:Shift] | Baseline Draw/Stand | P -17 bps / B 26 bps | B5 Draw 4-7 Gate |
| [DEP189:Hand] | P=2 vs B=5, P3=4 | P=6 vs B=1 | 6c (P) |
[DEP189-C8] Auditioning [DEP189] at depth, Player opens 2 + 4 -> 6 while Banker opens 5 -> 1 across 6c (P in [DEP189]). Across [DEP189] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP189] PPBBPBPPBB updates derived roads by Big Road column symmetry.
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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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