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SHOE PENETRATION & DEPLETION [DEP272] · 82% DEPTH

Deuce (2) Depletion at 341/416 Cards (82%): B6 Draw 6-7 Gate Impact #272

In shoe-depletion analysis DEP272, 341 of 416 cards (82%) have exited the shoe, leaving 1 copies of Deuce (2) among 75 unseen cards (1.33% vs baseline 7.69%) and shifting B6 Draw 6-7 Gate frequency by -34 bps.

DEP272 Shoe Depth
341/416 (82%)
DEP272 2 Density
1/75 (1.33%)
DEP272 Draw Delta
-34 bps
DEP272 Tableau Gate
B6vP9:STAND
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 82% shoe-penetration state DEP272 (Deuce (2) -> 1/75).

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

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

DEP272 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.

DEP272 Rank 2 Supply
1 of 32 Remaining (1.33%)

Compares depleted density 1.33% against fresh 8-deck baseline 7.69% for Deuce (2).

DEP272 Player Draw vs Banker Stand Shift
P-Draw -34 bps / B-Stand 20 bps

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

DEP272 Fixed Tableau Gate
BANKER_TABLEAU[6][9] = false

Card removal alters entry probabilities into (6, 9) but never alters the fixed STAND rule.

DEP272 Sample Coup Resolution
P(7+4)+9=0 vs B(3+3)=6 (B)

Verified 5-card hand via resolveHand() at penetration checkpoint DEP272.

COMBINATORIAL DEPLETION · DEP272

How Removing Deuce (2) at 341 Cards Affects B6 Draw 6-7 Gate (DEP272)

In finite-shoe state [DEP272], 341 cards have exited the 416-card shoe, leaving 1 Deuce (2) cards in 75 (1.33% vs 7.69%) to govern the Banker 6 two-value sixth-card trigger against 6 or 7.

[DEP272-B] Even as Deuce (2) (2 pts) depletion shifts Player drawing by -34 bps and Banker standing by 20 bps in [DEP272], Punto Banco law for B=6 vs P3=9 stands pat on five cards.

Depletion Matrix for DEP272 (Deuce (2) at 341/416 Cards)
DEP272 MetricDEP272 Fresh 416-ShoeDEP272 At 341 DealtDEP272 Tableau Effect
[DEP272:Shoe]416 Cards (0% Dealt)75 Left (82% Dealt)Pre-Cut-Card Tail (6.5 decks dealt)
[DEP272:Rank]32/416 (7.69%)1/75 (1.33%)Point Value 2
[DEP272:Shift]Baseline Draw/StandP -34 bps / B 20 bpsB6 Draw 6-7 Gate
[DEP272:Hand]P=1 vs B=6, P3=9P=0 vs B=65c (B)
  • [DEP272-1] Verify [DEP272] 75 unseen cards remain after 341/416 exit.
  • [DEP272-2] Compare [DEP272] Deuce (2) density (1/75=1.33%) vs 7.69%.
  • [DEP272-3] Apply [DEP272] BANKER_TABLEAU[6][9]=false (5c B).
INDEPENDENCE & ROAD LOGGING · DEP272

Why DEP272 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP272-C4] Auditioning [DEP272] at depth, Player opens 1 + 9 -> 0 while Banker opens 6 -> 6 across 5c (B in [DEP272]). Across [DEP272] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP272] BBPPBBPBPB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Deuce (2) is depleted to 1/75 in DEP272, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[6][9] remains false at every shoe depth.
MythDeep shoe penetration at 341/416 cards in DEP272 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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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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