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SHOE PENETRATION & DEPLETION [DEP257] · 70% DEPTH

Ace (A) Depletion at 291/416 Cards (70%): B6 Draw 6-7 Gate Impact #257

In shoe-depletion analysis DEP257, 291 of 416 cards (70%) have exited the shoe, leaving 8 copies of Ace (A) among 125 unseen cards (6.40% vs baseline 7.69%) and shifting B6 Draw 6-7 Gate frequency by -24 bps.

DEP257 Shoe Depth
291/416 (70%)
DEP257 A Density
8/125 (6.40%)
DEP257 Draw Delta
-24 bps
DEP257 Tableau Gate
B6vP6: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 70% shoe-penetration state DEP257 (Ace (A) -> 8/125).

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

DEP257 Penetration Depth
291 Dealt / 125 Remaining (70%)

Evaluated at Deep-Shoe Segment (5.6 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP257 Rank A Supply
8 of 32 Remaining (6.40%)

Compares depleted density 6.40% against fresh 8-deck baseline 7.69% for Ace (A).

DEP257 Player Draw vs Banker Stand Shift
P-Draw -24 bps / B-Stand 30 bps

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

DEP257 Fixed Tableau Gate
BANKER_TABLEAU[6][6] = true

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

DEP257 Sample Coup Resolution
P(2+2)+6=0 vs B(2+4)=9 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP257.

COMBINATORIAL DEPLETION · DEP257

How Removing Ace (A) at 291 Cards Affects B6 Draw 6-7 Gate (DEP257)

Tracking [DEP257] across 291/416 dealt cards leaves 8 remaining Ace (A) cards in the 125-card stub (6.40% vs baseline 7.69%), reshaping probabilities for the Banker 6 two-value sixth-card trigger against 6 or 7.

[DEP257-B] Point value 1 (Ace (A)) directly feeds two-card sums: depleting it alters Player draw likelihood by -24 bps and Banker stand frequency by 30 bps, while Banker 6 vs P3=6 always draws a sixth card.

Depletion Matrix for DEP257 (Ace (A) at 291/416 Cards)
DEP257 MetricDEP257 Fresh 416-ShoeDEP257 At 291 DealtDEP257 Tableau Effect
[DEP257:Shoe]416 Cards (0% Dealt)125 Left (70% Dealt)Deep-Shoe Segment (5.6 decks dealt)
[DEP257:Rank]32/416 (7.69%)8/125 (6.40%)Point Value 1
[DEP257:Shift]Baseline Draw/StandP -24 bps / B 30 bpsB6 Draw 6-7 Gate
[DEP257:Hand]P=4 vs B=6, P3=6P=0 vs B=96c (B)
  • [DEP257-1] Verify [DEP257] 125 unseen cards remain after 291/416 exit.
  • [DEP257-2] Compare [DEP257] Ace (A) density (8/125=6.40%) vs 7.69%.
  • [DEP257-3] Apply [DEP257] BANKER_TABLEAU[6][6]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP257

Why DEP257 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP257-C3] Auditioning [DEP257] at depth, Player opens 4 + 6 -> 0 while Banker opens 6 -> 9 across 6c (B in [DEP257]). Across [DEP257] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP257] PPBBPPBPBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Ace (A) is depleted to 8/125 in DEP257, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[6][6] remains true at every shoe depth.
MythDeep shoe penetration at 291/416 cards in DEP257 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
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android