In shoe-depletion analysis DEP090, 166 of 416 cards (40%) have exited the shoe, leaving 16 copies of Deuce (2) among 250 unseen cards (6.40% vs baseline 7.69%) and shifting B4 Draw 2-7 Gate frequency by -22 bps.
Scoreboard trajectory paired with 40% shoe-penetration state DEP090 (Deuce (2) -> 16/250).
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 Mid-Early Penetration (3.2 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 Deuce (2).
Net basis-point movement in Player 0..5 fifth-card drawing vs Banker standing frequency.
Card removal alters entry probabilities into (4, 3) but never alters the fixed DRAW rule.
Verified 6-card hand via resolveHand() at penetration checkpoint DEP090.
In finite-shoe state [DEP090], 166 cards have exited the 416-card shoe, leaving 16 Deuce (2) cards in 250 (6.40% vs 7.69%) to govern the Banker 4 active six-card draw window against 2..7.
[DEP090-B] Even as Deuce (2) (2 pts) depletion shifts Player drawing by -22 bps and Banker standing by 32 bps in [DEP090], Punto Banco law for B=4 vs P3=3 draws a sixth card.
| DEP090 Metric | DEP090 Fresh 416-Shoe | DEP090 At 166 Dealt | DEP090 Tableau Effect |
|---|---|---|---|
| [DEP090:Shoe] | 416 Cards (0% Dealt) | 250 Left (40% Dealt) | Mid-Early Penetration (3.2 decks dealt) |
| [DEP090:Rank] | 32/416 (7.69%) | 16/250 (6.40%) | Point Value 2 |
| [DEP090:Shift] | Baseline Draw/Stand | P -22 bps / B 32 bps | B4 Draw 2-7 Gate |
| [DEP090:Hand] | P=5 vs B=4, P3=3 | P=8 vs B=9 | 6c (B) |
[DEP090-C4] Auditioning [DEP090] at depth, Player opens 5 + 3 -> 8 while Banker opens 4 -> 9 across 6c (B in [DEP090]). Across [DEP090] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP090] BBPPBPBBPB updates derived roads by Big Road column symmetry.
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