In shoe-depletion analysis DEP273, 341 of 416 cards (82%) have exited the shoe, leaving 4 copies of Three (3) among 75 unseen cards (5.33% vs baseline 7.69%) and shifting B6 Draw 6-7 Gate frequency by -39 bps.
Scoreboard trajectory paired with 82% shoe-penetration state DEP273 (Three (3) -> 4/75).
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.
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.
Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).
Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.
Evaluated at Pre-Cut-Card Tail (6.5 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.
Compares depleted density 5.33% 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 (6, 6) but never alters the fixed DRAW rule.
Verified 6-card hand via resolveHand() at penetration checkpoint DEP273.
Composition analysis [DEP273] measures Three (3) scarcity at 341/416 cards: 4 left in 75 (5.33% vs 7.69%) changes arrival rates into the Banker 6 two-value sixth-card trigger against 6 or 7.
[DEP273-B] Thinning Three (3) (3 pts) in [DEP273] produces a -39-bps Player draw delta and 30-bps Banker stand delta; nevertheless, Banker 6 facing 6 always draws a sixth card.
| DEP273 Metric | DEP273 Fresh 416-Shoe | DEP273 At 341 Dealt | DEP273 Tableau Effect |
|---|---|---|---|
| [DEP273:Shoe] | 416 Cards (0% Dealt) | 75 Left (82% Dealt) | Pre-Cut-Card Tail (6.5 decks dealt) |
| [DEP273:Rank] | 32/416 (7.69%) | 4/75 (5.33%) | Point Value 3 |
| [DEP273:Shift] | Baseline Draw/Stand | P -39 bps / B 30 bps | B6 Draw 6-7 Gate |
| [DEP273:Hand] | P=2 vs B=6, P3=6 | P=8 vs B=7 | 6c (P) |
[DEP273-C11] Auditioning [DEP273] at depth, Player opens 2 + 6 -> 8 while Banker opens 6 -> 7 across 6c (P in [DEP273]). Across [DEP273] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP273] PPBBPPBPBP 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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Direct answers to real student questions on dragon tails, tie handling, lookback rules, and table variants.
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