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SHOE PENETRATION & DEPLETION [DEP137] · 82% DEPTH

Seven (7) Depletion at 341/416 Cards (82%): B4 Draw 2-7 Gate Impact #137

In shoe-depletion analysis DEP137, 341 of 416 cards (82%) have exited the shoe, leaving 4 copies of Seven (7) among 75 unseen cards (5.33% vs baseline 7.69%) and shifting B4 Draw 2-7 Gate frequency by 25 bps.

DEP137 Shoe Depth
341/416 (82%)
DEP137 7 Density
4/75 (5.33%)
DEP137 Draw Delta
25 bps
DEP137 Tableau Gate
B4vP2:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 82% shoe-penetration state DEP137 (Seven (7) -> 4/75).

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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

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

Small Road Mark #3

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 2.
  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.

Cockroach Pig Mark #3

Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

DEP137 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.

DEP137 Rank 7 Supply
4 of 32 Remaining (5.33%)

Compares depleted density 5.33% against fresh 8-deck baseline 7.69% for Seven (7).

DEP137 Player Draw vs Banker Stand Shift
P-Draw 25 bps / B-Stand -22 bps

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

DEP137 Fixed Tableau Gate
BANKER_TABLEAU[4][2] = true

Card removal alters entry probabilities into (4, 2) but never alters the fixed DRAW rule.

DEP137 Sample Coup Resolution
P(2+2)+2=6 vs B(A+3)=1 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP137.

COMBINATORIAL DEPLETION · DEP137

How Removing Seven (7) at 341 Cards Affects B4 Draw 2-7 Gate (DEP137)

Depletion vector [DEP137] pairs Pre-Cut-Card Tail (6.5 decks dealt) (75 cards left) with 4 remaining Seven (7) cards (5.33% vs 7.69%), quantifying the shift in the Banker 4 active six-card draw window against 2..7.

[DEP137-B] Observing [DEP137], 7-value Seven (7) removal shifts Player 0..5 draws by 25 bps and Banker stands by -22 bps, leaving the mandatory B4 vs P3=2 rule (draws a sixth card) intact.

Depletion Matrix for DEP137 (Seven (7) at 341/416 Cards)
DEP137 MetricDEP137 Fresh 416-ShoeDEP137 At 341 DealtDEP137 Tableau Effect
[DEP137:Shoe]416 Cards (0% Dealt)75 Left (82% Dealt)Pre-Cut-Card Tail (6.5 decks dealt)
[DEP137:Rank]32/416 (7.69%)4/75 (5.33%)Point Value 7
[DEP137:Shift]Baseline Draw/StandP 25 bps / B -22 bpsB4 Draw 2-7 Gate
[DEP137:Hand]P=4 vs B=4, P3=2P=6 vs B=16c (P)
  • [DEP137-1] Verify [DEP137] 75 unseen cards remain after 341/416 exit.
  • [DEP137-2] Compare [DEP137] Seven (7) density (4/75=5.33%) vs 7.69%.
  • [DEP137-3] Apply [DEP137] BANKER_TABLEAU[4][2]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP137

Why DEP137 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP137-C8] Auditioning [DEP137] at depth, Player opens 4 + 2 -> 6 while Banker opens 4 -> 1 across 6c (P in [DEP137]). Across [DEP137] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP137] PPBBPPBBBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Seven (7) is depleted to 4/75 in DEP137, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[4][2] remains true at every shoe depth.
MythDeep shoe penetration at 341/416 cards in DEP137 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
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
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