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SHOE PENETRATION & DEPLETION [DEP010] · 25% DEPTH

Six (6) Depletion at 104/416 Cards (25%): B3 vs P3=8 Shade Impact #10

In shoe-depletion analysis DEP010, 104 of 416 cards (25%) have exited the shoe, leaving 21 copies of Six (6) among 312 unseen cards (6.73% vs baseline 7.69%) and shifting B3 vs P3=8 Shade frequency by 20 bps.

DEP010 Shoe Depth
104/416 (25%)
DEP010 6 Density
21/312 (6.73%)
DEP010 Draw Delta
20 bps
DEP010 Tableau Gate
B3vP8:STAND
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P B P B B P B B B P P P B B B B P
Big Eye Boy = = ≠ = ≠ ≠ ≠ ≠ = ≠ = = = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ = = ≠ ≠
Cockroach Pig ≠ = = = ≠ = ≠ = ≠ ≠ ≠ = = ≠

Scoreboard trajectory paired with 25% shoe-penetration state DEP010 (Six (6) -> 21/312).

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
Big Eye Boy Mark #3

Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 2, 1 column further back.
  2. 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.

Small Road Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 3.
  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.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. 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.

Verified Reference Data

Key Facts & Table Specifications

DEP010 Penetration Depth
104 Dealt / 312 Remaining (25%)

Evaluated at Early-Shoe Quarter Marker (2 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP010 Rank 6 Supply
21 of 32 Remaining (6.73%)

Compares depleted density 6.73% against fresh 8-deck baseline 7.69% for Six (6).

DEP010 Player Draw vs Banker Stand Shift
P-Draw 20 bps / B-Stand -37 bps

Net basis-point movement in Player 0..5 fifth-card drawing vs Banker standing frequency.

DEP010 Fixed Tableau Gate
BANKER_TABLEAU[3][8] = false

Card removal alters entry probabilities into (3, 8) but never alters the fixed STAND rule.

DEP010 Sample Coup Resolution
P(9+4)+8=1 vs B(10+3)=3 (B)

Verified 5-card hand via resolveHand() at penetration checkpoint DEP010.

COMBINATORIAL DEPLETION · DEP010

How Removing Six (6) at 104 Cards Affects B3 vs P3=8 Shade (DEP010)

In depletion audit [DEP010], an 8-deck shoe reaches Early-Shoe Quarter Marker (2 decks dealt) with 312 cards left and 21 copies of Six (6) (6.73% vs 7.69%), directly shifting the Banker 3 standing exception on Player third-card 8.

[DEP010-B] With Six (6) valued at 6 mod 10, its removal moves Player fifth-card draw entry by 20 bps and Banker pat rate by -37 bps; yet inside cell (B=3, P3=8), Banker deterministically stands pat on five cards.

Depletion Matrix for DEP010 (Six (6) at 104/416 Cards)
DEP010 MetricDEP010 Fresh 416-ShoeDEP010 At 104 DealtDEP010 Tableau Effect
[DEP010:Shoe]416 Cards (0% Dealt)312 Left (25% Dealt)Early-Shoe Quarter Marker (2 decks dealt)
[DEP010:Rank]32/416 (7.69%)21/312 (6.73%)Point Value 6
[DEP010:Shift]Baseline Draw/StandP 20 bps / B -37 bpsB3 vs P3=8 Shade
[DEP010:Hand]P=3 vs B=3, P3=8P=1 vs B=35c (B)
  • [DEP010-1] Verify [DEP010] 312 unseen cards remain after 104/416 exit.
  • [DEP010-2] Compare [DEP010] Six (6) density (21/312=6.73%) vs 7.69%.
  • [DEP010-3] Apply [DEP010] BANKER_TABLEAU[3][8]=false (5c B).
INDEPENDENCE & ROAD LOGGING · DEP010

Why DEP010 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP010-C3] Auditioning [DEP010] at depth, Player opens 3 + 8 -> 1 while Banker opens 3 -> 3 across 5c (B in [DEP010]). Across [DEP010] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP010] BBPPBPBBPB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Six (6) is depleted to 21/312 in DEP010, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[3][8] remains false at every shoe depth.
MythDeep shoe penetration at 104/416 cards in DEP010 makes Red on Big Eye Boy mean Banker.
TruthOn Big Eye Boy, Small Road, and Cockroach Pig, Red (=) always signals repeating Big Road structure and Blue (≠) signals a break.
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Read Every Derived Road at Table Speed

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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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