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SHOE PENETRATION & DEPLETION [DEP037] · 55% DEPTH

Five (5) Depletion at 229/416 Cards (55%): B3 vs P3=8 Shade Impact #37

In shoe-depletion analysis DEP037, 229 of 416 cards (55%) have exited the shoe, leaving 12 copies of Five (5) among 187 unseen cards (6.42% vs baseline 7.69%) and shifting B3 vs P3=8 Shade frequency by -25 bps.

DEP037 Shoe Depth
229/416 (55%)
DEP037 5 Density
12/187 (6.42%)
DEP037 Draw Delta
-25 bps
DEP037 Tableau Gate
B3vP8:STAND
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 55% shoe-penetration state DEP037 (Five (5) -> 12/187).

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

  1. Column 3 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

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

DEP037 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.

DEP037 Rank 5 Supply
12 of 32 Remaining (6.42%)

Compares depleted density 6.42% against fresh 8-deck baseline 7.69% for Five (5).

DEP037 Player Draw vs Banker Stand Shift
P-Draw -25 bps / B-Stand 18 bps

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

DEP037 Fixed Tableau Gate
BANKER_TABLEAU[3][8] = false

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

DEP037 Sample Coup Resolution
P(10+K)+8=8 vs B(9+4)=3 (P)

Verified 5-card hand via resolveHand() at penetration checkpoint DEP037.

COMBINATORIAL DEPLETION · DEP037

How Removing Five (5) at 229 Cards Affects B3 vs P3=8 Shade (DEP037)

Within shoe segment [DEP037] at 229 cards out, only 12 of 32 initial Five (5) cards remain inside 187 unseen cards (6.42% vs 7.69%), modifying the Banker 3 standing exception on Player third-card 8.

[DEP037-B] Removing 5-point Five (5) cards adjusts Player's 0..5 draw incidence by -25 bps and Banker's standing share by 18 bps; once B=3 faces fifth-card 8, the rulebook stands pat on five cards.

Depletion Matrix for DEP037 (Five (5) at 229/416 Cards)
DEP037 MetricDEP037 Fresh 416-ShoeDEP037 At 229 DealtDEP037 Tableau Effect
[DEP037:Shoe]416 Cards (0% Dealt)187 Left (55% Dealt)Mid-Shoe Crossover (4.4 decks dealt)
[DEP037:Rank]32/416 (7.69%)12/187 (6.42%)Point Value 5
[DEP037:Shift]Baseline Draw/StandP -25 bps / B 18 bpsB3 vs P3=8 Shade
[DEP037:Hand]P=0 vs B=3, P3=8P=8 vs B=35c (P)
  • [DEP037-1] Verify [DEP037] 187 unseen cards remain after 229/416 exit.
  • [DEP037-2] Compare [DEP037] Five (5) density (12/187=6.42%) vs 7.69%.
  • [DEP037-3] Apply [DEP037] BANKER_TABLEAU[3][8]=false (5c P).
INDEPENDENCE & ROAD LOGGING · DEP037

Why DEP037 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP037-C10] Auditioning [DEP037] at depth, Player opens 0 + 8 -> 8 while Banker opens 3 -> 3 across 5c (P in [DEP037]). Across [DEP037] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP037] PPBBBPPPPB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Five (5) is depleted to 12/187 in DEP037, 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 229/416 cards in DEP037 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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