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SHOE PENETRATION & DEPLETION [DEP127] · 82% DEPTH

Ten (10) Depletion at 341/416 Cards (82%): B4 Draw 2-7 Gate Impact #127

In shoe-depletion analysis DEP127, 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 B4 Draw 2-7 Gate frequency by -12 bps.

DEP127 Shoe Depth
341/416 (82%)
DEP127 10 Density
2/75 (2.67%)
DEP127 Draw Delta
-12 bps
DEP127 Tableau Gate
B4vP4:DRAW
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 B P P B B P B B B P P P P
Big Eye Boy = ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ = ≠ = = ≠
Small Road = = ≠ = = ≠ ≠ ≠ = ≠ ≠ ≠ = =
Cockroach Pig ≠ = ≠ = = = = ≠ ≠ = ≠ =

Scoreboard trajectory paired with 82% shoe-penetration state DEP127 (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 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

Column 4 has 1 bead. Column 2 has 3 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 3 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 5 has 2 beads. 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 2 beads. 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

DEP127 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.

DEP127 Rank 10 Supply
2 of 32 Remaining (2.67%)

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

DEP127 Player Draw vs Banker Stand Shift
P-Draw -12 bps / B-Stand 15 bps

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

DEP127 Fixed Tableau Gate
BANKER_TABLEAU[4][4] = true

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

DEP127 Sample Coup Resolution
P(10+K)+4=4 vs B(A+3)=4 (T)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP127.

COMBINATORIAL DEPLETION · DEP127

How Removing Ten (10) at 341 Cards Affects B4 Draw 2-7 Gate (DEP127)

[DEP127] 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 4 active six-card draw window against 2..7.

[DEP127-B] Because Ten (10) carries point value 0, thinning this rank shifts Player 0..5 drawing frequency by -12 bps and Banker standing frequency by 15 bps while BANKER_TABLEAU[4][4]=true still draws a sixth card.

Depletion Matrix for DEP127 (Ten (10) at 341/416 Cards)
DEP127 MetricDEP127 Fresh 416-ShoeDEP127 At 341 DealtDEP127 Tableau Effect
[DEP127:Shoe]416 Cards (0% Dealt)75 Left (82% Dealt)Pre-Cut-Card Tail (6.5 decks dealt)
[DEP127:Rank]32/416 (7.69%)2/75 (2.67%)Point Value 0
[DEP127:Shift]Baseline Draw/StandP -12 bps / B 15 bpsB4 Draw 2-7 Gate
[DEP127:Hand]P=0 vs B=4, P3=4P=4 vs B=46c (T)
  • [DEP127-1] Verify [DEP127] 75 unseen cards remain after 341/416 exit.
  • [DEP127-2] Compare [DEP127] Ten (10) density (2/75=2.67%) vs 7.69%.
  • [DEP127-3] Apply [DEP127] BANKER_TABLEAU[4][4]=true (6c T).
INDEPENDENCE & ROAD LOGGING · DEP127

Why DEP127 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP127-C3] Auditioning [DEP127] at depth, Player opens 0 + 4 -> 4 while Banker opens 4 -> 4 across 6c (T in [DEP127]). Across [DEP127] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging T onto [DEP127] PPBBBPPBPP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Ten (10) is depleted to 2/75 in DEP127, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[4][4] remains true at every shoe depth.
MythDeep shoe penetration at 341/416 cards in DEP127 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