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SHOE PENETRATION & DEPLETION [DEP268] · 82% DEPTH

Jack (J) Depletion at 341/416 Cards (82%): B6 Draw 6-7 Gate Impact #268

In shoe-depletion analysis DEP268, 341 of 416 cards (82%) have exited the shoe, leaving 1 copies of Jack (J) among 75 unseen cards (1.33% vs baseline 7.69%) and shifting B6 Draw 6-7 Gate frequency by -14 bps.

DEP268 Shoe Depth
341/416 (82%)
DEP268 J Density
1/75 (1.33%)
DEP268 Draw Delta
-14 bps
DEP268 Tableau Gate
B6vP9: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 P B P P P B B B P B B
Big Eye Boy = = ≠ = ≠ ≠ = = ≠ ≠ = ≠ = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ =
Cockroach Pig ≠ = = ≠ ≠ = = ≠ ≠ = ≠ ≠ = =

Scoreboard trajectory paired with 82% shoe-penetration state DEP268 (Jack (J) -> 1/75).

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

DEP268 Penetration Depth
341 Dealt / 75 Remaining (82%)

Evaluated at Pre-Cut-Card Tail (6.5 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP268 Rank J Supply
1 of 32 Remaining (1.33%)

Compares depleted density 1.33% against fresh 8-deck baseline 7.69% for Jack (J).

DEP268 Player Draw vs Banker Stand Shift
P-Draw -14 bps / B-Stand 11 bps

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

DEP268 Fixed Tableau Gate
BANKER_TABLEAU[6][9] = false

Card removal alters entry probabilities into (6, 9) but never alters the fixed STAND rule.

DEP268 Sample Coup Resolution
P(9+4)+9=2 vs B(3+3)=6 (B)

Verified 5-card hand via resolveHand() at penetration checkpoint DEP268.

COMBINATORIAL DEPLETION · DEP268

How Removing Jack (J) at 341 Cards Affects B6 Draw 6-7 Gate (DEP268)

At penetration mark [DEP268] (341 dealt, 75 undealt), Jack (J) weight is 1/75 (1.33% vs 7.69%), adjusting fifth-card entry into the Banker 6 two-value sixth-card trigger against 6 or 7.

[DEP268-B] Under [DEP268], Jack (J) (0 pts) scarcity recalibrates Player draw entry (-14 bps) and Banker stand frequency (11 bps), while `bankerShouldDraw(6, 9)` stands pat on five cards.

Depletion Matrix for DEP268 (Jack (J) at 341/416 Cards)
DEP268 MetricDEP268 Fresh 416-ShoeDEP268 At 341 DealtDEP268 Tableau Effect
[DEP268:Shoe]416 Cards (0% Dealt)75 Left (82% Dealt)Pre-Cut-Card Tail (6.5 decks dealt)
[DEP268:Rank]32/416 (7.69%)1/75 (1.33%)Point Value 0
[DEP268:Shift]Baseline Draw/StandP -14 bps / B 11 bpsB6 Draw 6-7 Gate
[DEP268:Hand]P=3 vs B=6, P3=9P=2 vs B=65c (B)
  • [DEP268-1] Verify [DEP268] 75 unseen cards remain after 341/416 exit.
  • [DEP268-2] Compare [DEP268] Jack (J) density (1/75=1.33%) vs 7.69%.
  • [DEP268-3] Apply [DEP268] BANKER_TABLEAU[6][9]=false (5c B).
INDEPENDENCE & ROAD LOGGING · DEP268

Why DEP268 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP268-C2] Auditioning [DEP268] at depth, Player opens 3 + 9 -> 2 while Banker opens 6 -> 6 across 5c (B in [DEP268]). Across [DEP268] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP268] BBPPBPBBPP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Jack (J) is depleted to 1/75 in DEP268, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[6][9] remains false at every shoe depth.
MythDeep shoe penetration at 341/416 cards in DEP268 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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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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