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SHOE PENETRATION & DEPLETION [DEP242] · 55% DEPTH

King (K) Depletion at 229/416 Cards (55%): B6 Draw 6-7 Gate Impact #242

In shoe-depletion analysis DEP242, 229 of 416 cards (55%) have exited the shoe, leaving 11 copies of King (K) among 187 unseen cards (5.88% vs baseline 7.69%) and shifting B6 Draw 6-7 Gate frequency by -14 bps.

DEP242 Shoe Depth
229/416 (55%)
DEP242 K Density
11/187 (5.88%)
DEP242 Draw Delta
-14 bps
DEP242 Tableau Gate
B6vP7: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 55% shoe-penetration state DEP242 (King (K) -> 11/187).

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

DEP242 Penetration Depth
229 Dealt / 187 Remaining (55%)

Evaluated at Mid-Shoe Crossover (4.4 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP242 Rank K Supply
11 of 32 Remaining (5.88%)

Compares depleted density 5.88% against fresh 8-deck baseline 7.69% for King (K).

DEP242 Player Draw vs Banker Stand Shift
P-Draw -14 bps / B-Stand 9 bps

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

DEP242 Fixed Tableau Gate
BANKER_TABLEAU[6][7] = true

Card removal alters entry probabilities into (6, 7) but never alters the fixed DRAW rule.

DEP242 Sample Coup Resolution
P(7+4)+7=8 vs B(3+3)=3 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP242.

COMBINATORIAL DEPLETION · DEP242

How Removing King (K) at 229 Cards Affects B6 Draw 6-7 Gate (DEP242)

Conditional model [DEP242] evaluates Mid-Shoe Crossover (4.4 decks dealt) where 11 copies of King (K) persist among 187 cards (5.88% vs 416-card 7.69%), recalibrating the Banker 6 two-value sixth-card trigger against 6 or 7.

[DEP242-B] Mathematically, King (K) (worth 0) shifts Player draw frequency by -14 bps and Banker stand frequency by 9 bps in [DEP242], whereas fixed rule BANKER_TABLEAU[6][7] draws a sixth card.

Depletion Matrix for DEP242 (King (K) at 229/416 Cards)
DEP242 MetricDEP242 Fresh 416-ShoeDEP242 At 229 DealtDEP242 Tableau Effect
[DEP242:Shoe]416 Cards (0% Dealt)187 Left (55% Dealt)Mid-Shoe Crossover (4.4 decks dealt)
[DEP242:Rank]32/416 (7.69%)11/187 (5.88%)Point Value 0
[DEP242:Shift]Baseline Draw/StandP -14 bps / B 9 bpsB6 Draw 6-7 Gate
[DEP242:Hand]P=1 vs B=6, P3=7P=8 vs B=36c (P)
  • [DEP242-1] Verify [DEP242] 187 unseen cards remain after 229/416 exit.
  • [DEP242-2] Compare [DEP242] King (K) density (11/187=5.88%) vs 7.69%.
  • [DEP242-3] Apply [DEP242] BANKER_TABLEAU[6][7]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP242

Why DEP242 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP242-C2] Auditioning [DEP242] at depth, Player opens 1 + 7 -> 8 while Banker opens 6 -> 3 across 6c (P in [DEP242]). Across [DEP242] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP242] BBPPBPBPPP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen King (K) is depleted to 11/187 in DEP242, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[6][7] remains true at every shoe depth.
MythDeep shoe penetration at 229/416 cards in DEP242 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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