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SHOE PENETRATION & DEPLETION [DEP338] · 82% DEPTH

Jack (J) Depletion at 341/416 Cards (82%): P0-5 vs B-Stand Impact #338

In shoe-depletion analysis DEP338, 341 of 416 cards (82%) have exited the shoe, leaving 3 copies of Jack (J) among 75 unseen cards (4.00% vs baseline 7.69%) and shifting P0-5 vs B-Stand frequency by -31 bps.

DEP338 Shoe Depth
341/416 (82%)
DEP338 J Density
3/75 (4.00%)
DEP338 Draw Delta
-31 bps
DEP338 Tableau Gate
B2vP1:DRAW
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 P P P B B B B P P B P B B
Big Eye Boy = = ≠ = = ≠ = ≠ = = ≠ ≠ = ≠ ≠ = ≠
Small Road ≠ ≠ = ≠ = ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠
Cockroach Pig ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ =

Scoreboard trajectory paired with 82% shoe-penetration state DEP338 (Jack (J) -> 3/75).

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

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

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

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

DEP338 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.

DEP338 Rank J Supply
3 of 32 Remaining (4.00%)

Compares depleted density 4.00% against fresh 8-deck baseline 7.69% for Jack (J).

DEP338 Player Draw vs Banker Stand Shift
P-Draw -31 bps / B-Stand 35 bps

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

DEP338 Fixed Tableau Gate
BANKER_TABLEAU[2][1] = true

Card removal alters entry probabilities into (2, 1) but never alters the fixed DRAW rule.

DEP338 Sample Coup Resolution
P(7+4)+A=2 vs B(10+2)=1 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP338.

COMBINATORIAL DEPLETION · DEP338

How Removing Jack (J) at 341 Cards Affects P0-5 vs B-Stand (DEP338)

At penetration mark [DEP338] (341 dealt, 75 undealt), Jack (J) weight is 3/75 (4.00% vs 7.69%), adjusting fifth-card entry into the Player 0..5 fifth-card draw rate versus Banker 6..7 stand rate.

[DEP338-B] Under [DEP338], Jack (J) (0 pts) scarcity recalibrates Player draw entry (-31 bps) and Banker stand frequency (35 bps), while `bankerShouldDraw(2, 1)` draws a sixth card.

Depletion Matrix for DEP338 (Jack (J) at 341/416 Cards)
DEP338 MetricDEP338 Fresh 416-ShoeDEP338 At 341 DealtDEP338 Tableau Effect
[DEP338:Shoe]416 Cards (0% Dealt)75 Left (82% Dealt)Pre-Cut-Card Tail (6.5 decks dealt)
[DEP338:Rank]32/416 (7.69%)3/75 (4.00%)Point Value 0
[DEP338:Shift]Baseline Draw/StandP -31 bps / B 35 bpsP0-5 vs B-Stand
[DEP338:Hand]P=1 vs B=2, P3=1P=2 vs B=16c (P)
  • [DEP338-1] Verify [DEP338] 75 unseen cards remain after 341/416 exit.
  • [DEP338-2] Compare [DEP338] Jack (J) density (3/75=4.00%) vs 7.69%.
  • [DEP338-3] Apply [DEP338] BANKER_TABLEAU[2][1]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP338

Why DEP338 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP338-C11] Auditioning [DEP338] at depth, Player opens 1 + 1 -> 2 while Banker opens 2 -> 1 across 6c (P in [DEP338]). Across [DEP338] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP338] BBPPBPBPPP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Jack (J) is depleted to 3/75 in DEP338, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[2][1] remains true at every shoe depth.
MythDeep shoe penetration at 341/416 cards in DEP338 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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