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SHOE PENETRATION & DEPLETION [DEP174] · 55% DEPTH

Deuce (2) Depletion at 229/416 Cards (55%): B5 Draw 4-7 Gate Impact #174

In shoe-depletion analysis DEP174, 229 of 416 cards (55%) have exited the shoe, leaving 11 copies of Deuce (2) among 187 unseen cards (5.88% vs baseline 7.69%) and shifting B5 Draw 4-7 Gate frequency by -44 bps.

DEP174 Shoe Depth
229/416 (55%)
DEP174 2 Density
11/187 (5.88%)
DEP174 Draw Delta
-44 bps
DEP174 Tableau Gate
B5vP5:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 55% shoe-penetration state DEP174 (Deuce (2) -> 11/187).

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

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

DEP174 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.

DEP174 Rank 2 Supply
11 of 32 Remaining (5.88%)

Compares depleted density 5.88% against fresh 8-deck baseline 7.69% for Deuce (2).

DEP174 Player Draw vs Banker Stand Shift
P-Draw -44 bps / B-Stand 36 bps

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

DEP174 Fixed Tableau Gate
BANKER_TABLEAU[5][5] = true

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

DEP174 Sample Coup Resolution
P(A+4)+5=0 vs B(2+3)=5 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP174.

COMBINATORIAL DEPLETION · DEP174

How Removing Deuce (2) at 229 Cards Affects B5 Draw 4-7 Gate (DEP174)

In finite-shoe state [DEP174], 229 cards have exited the 416-card shoe, leaving 11 Deuce (2) cards in 187 (5.88% vs 7.69%) to govern the Banker 5 four-value draw threshold against 4..7.

[DEP174-B] Even as Deuce (2) (2 pts) depletion shifts Player drawing by -44 bps and Banker standing by 36 bps in [DEP174], Punto Banco law for B=5 vs P3=5 draws a sixth card.

Depletion Matrix for DEP174 (Deuce (2) at 229/416 Cards)
DEP174 MetricDEP174 Fresh 416-ShoeDEP174 At 229 DealtDEP174 Tableau Effect
[DEP174:Shoe]416 Cards (0% Dealt)187 Left (55% Dealt)Mid-Shoe Crossover (4.4 decks dealt)
[DEP174:Rank]32/416 (7.69%)11/187 (5.88%)Point Value 2
[DEP174:Shift]Baseline Draw/StandP -44 bps / B 36 bpsB5 Draw 4-7 Gate
[DEP174:Hand]P=5 vs B=5, P3=5P=0 vs B=56c (B)
  • [DEP174-1] Verify [DEP174] 187 unseen cards remain after 229/416 exit.
  • [DEP174-2] Compare [DEP174] Deuce (2) density (11/187=5.88%) vs 7.69%.
  • [DEP174-3] Apply [DEP174] BANKER_TABLEAU[5][5]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP174

Why DEP174 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP174-C7] Auditioning [DEP174] at depth, Player opens 5 + 5 -> 0 while Banker opens 5 -> 5 across 6c (B in [DEP174]). Across [DEP174] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP174] BBPPPBBPBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Deuce (2) is depleted to 11/187 in DEP174, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[5][5] remains true at every shoe depth.
MythDeep shoe penetration at 229/416 cards in DEP174 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