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SHOE PENETRATION & DEPLETION [DEP267] · 82% DEPTH

Ten (10) Depletion at 341/416 Cards (82%): B6 Draw 6-7 Gate Impact #267

In shoe-depletion analysis DEP267, 341 of 416 cards (82%) have exited the shoe, leaving 2 copies of Ten (10) among 75 unseen cards (2.67% vs baseline 7.69%) and shifting B6 Draw 6-7 Gate frequency by -46 bps.

DEP267 Shoe Depth
341/416 (82%)
DEP267 10 Density
2/75 (2.67%)
DEP267 Draw Delta
-46 bps
DEP267 Tableau Gate
B6vP8:STAND
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 82% shoe-penetration state DEP267 (Ten (10) -> 2/75).

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

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

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 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.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

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

DEP267 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.

DEP267 Rank 10 Supply
2 of 32 Remaining (2.67%)

Compares depleted density 2.67% against fresh 8-deck baseline 7.69% for Ten (10).

DEP267 Player Draw vs Banker Stand Shift
P-Draw -46 bps / B-Stand 32 bps

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

DEP267 Fixed Tableau Gate
BANKER_TABLEAU[6][8] = false

Card removal alters entry probabilities into (6, 8) but never alters the fixed STAND rule.

DEP267 Sample Coup Resolution
P(10+2)+8=0 vs B(2+4)=6 (B)

Verified 5-card hand via resolveHand() at penetration checkpoint DEP267.

COMBINATORIAL DEPLETION · DEP267

How Removing Ten (10) at 341 Cards Affects B6 Draw 6-7 Gate (DEP267)

[DEP267] At 341 cards dealt (82% shoe depth, 75 undealt), removing 30 copies of Ten (10) leaves 2/75 (2.67% vs fresh-shoe 7.69%) entering the Banker 6 two-value sixth-card trigger against 6 or 7.

[DEP267-B] Because Ten (10) carries point value 0, thinning this rank shifts Player 0..5 drawing frequency by -46 bps and Banker standing frequency by 32 bps while BANKER_TABLEAU[6][8]=false still stands pat on five cards.

Depletion Matrix for DEP267 (Ten (10) at 341/416 Cards)
DEP267 MetricDEP267 Fresh 416-ShoeDEP267 At 341 DealtDEP267 Tableau Effect
[DEP267:Shoe]416 Cards (0% Dealt)75 Left (82% Dealt)Pre-Cut-Card Tail (6.5 decks dealt)
[DEP267:Rank]32/416 (7.69%)2/75 (2.67%)Point Value 0
[DEP267:Shift]Baseline Draw/StandP -46 bps / B 32 bpsB6 Draw 6-7 Gate
[DEP267:Hand]P=2 vs B=6, P3=8P=0 vs B=65c (B)
  • [DEP267-1] Verify [DEP267] 75 unseen cards remain after 341/416 exit.
  • [DEP267-2] Compare [DEP267] Ten (10) density (2/75=2.67%) vs 7.69%.
  • [DEP267-3] Apply [DEP267] BANKER_TABLEAU[6][8]=false (5c B).
INDEPENDENCE & ROAD LOGGING · DEP267

Why DEP267 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP267-C8] Auditioning [DEP267] at depth, Player opens 2 + 8 -> 0 while Banker opens 6 -> 6 across 5c (B in [DEP267]). Across [DEP267] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP267] PPBBPBPPBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Ten (10) is depleted to 2/75 in DEP267, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[6][8] remains false at every shoe depth.
MythDeep shoe penetration at 341/416 cards in DEP267 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