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SHOE PENETRATION & DEPLETION [DEP177] · 55% DEPTH

Five (5) Depletion at 229/416 Cards (55%): B5 Draw 4-7 Gate Impact #177

In shoe-depletion analysis DEP177, 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 B5 Draw 4-7 Gate frequency by -22 bps.

DEP177 Shoe Depth
229/416 (55%)
DEP177 5 Density
12/187 (6.42%)
DEP177 Draw Delta
-22 bps
DEP177 Tableau Gate
B5vP4: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 P B P P B B B P P P P B B
Big Eye Boy = = = = ≠ = = ≠ ≠ = ≠ ≠ = = ≠ ≠ =
Small Road = = ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = = ≠ =

Scoreboard trajectory paired with 55% shoe-penetration state DEP177 (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

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

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

DEP177 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.

DEP177 Rank 5 Supply
12 of 32 Remaining (6.42%)

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

DEP177 Player Draw vs Banker Stand Shift
P-Draw -22 bps / B-Stand 35 bps

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

DEP177 Fixed Tableau Gate
BANKER_TABLEAU[5][4] = true

Card removal alters entry probabilities into (5, 4) but never alters the fixed DRAW rule.

DEP177 Sample Coup Resolution
P(10+2)+4=6 vs B(A+4)=1 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP177.

COMBINATORIAL DEPLETION · DEP177

How Removing Five (5) at 229 Cards Affects B5 Draw 4-7 Gate (DEP177)

Within shoe segment [DEP177] 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 5 four-value draw threshold against 4..7.

[DEP177-B] Removing 5-point Five (5) cards adjusts Player's 0..5 draw incidence by -22 bps and Banker's standing share by 35 bps; once B=5 faces fifth-card 4, the rulebook draws a sixth card.

Depletion Matrix for DEP177 (Five (5) at 229/416 Cards)
DEP177 MetricDEP177 Fresh 416-ShoeDEP177 At 229 DealtDEP177 Tableau Effect
[DEP177:Shoe]416 Cards (0% Dealt)187 Left (55% Dealt)Mid-Shoe Crossover (4.4 decks dealt)
[DEP177:Rank]32/416 (7.69%)12/187 (6.42%)Point Value 5
[DEP177:Shift]Baseline Draw/StandP -22 bps / B 35 bpsB5 Draw 4-7 Gate
[DEP177:Hand]P=2 vs B=5, P3=4P=6 vs B=16c (P)
  • [DEP177-1] Verify [DEP177] 187 unseen cards remain after 229/416 exit.
  • [DEP177-2] Compare [DEP177] Five (5) density (12/187=6.42%) vs 7.69%.
  • [DEP177-3] Apply [DEP177] BANKER_TABLEAU[5][4]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP177

Why DEP177 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP177-C2] Auditioning [DEP177] at depth, Player opens 2 + 4 -> 6 while Banker opens 5 -> 1 across 6c (P in [DEP177]). Across [DEP177] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP177] PPBBPPBPBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Five (5) is depleted to 12/187 in DEP177, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[5][4] remains true at every shoe depth.
MythDeep shoe penetration at 229/416 cards in DEP177 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.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

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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