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SHOE PENETRATION & DEPLETION [DEP156] · 40% DEPTH

Jack (J) Depletion at 166/416 Cards (40%): B5 Draw 4-7 Gate Impact #156

In shoe-depletion analysis DEP156, 166 of 416 cards (40%) have exited the shoe, leaving 14 copies of Jack (J) among 250 unseen cards (5.60% vs baseline 7.69%) and shifting B5 Draw 4-7 Gate frequency by -19 bps.

DEP156 Shoe Depth
166/416 (40%)
DEP156 J Density
14/250 (5.60%)
DEP156 Draw Delta
-19 bps
DEP156 Tableau Gate
B5vP7:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 40% shoe-penetration state DEP156 (Jack (J) -> 14/250).

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

DEP156 Penetration Depth
166 Dealt / 250 Remaining (40%)

Evaluated at Mid-Early Penetration (3.2 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP156 Rank J Supply
14 of 32 Remaining (5.60%)

Compares depleted density 5.60% against fresh 8-deck baseline 7.69% for Jack (J).

DEP156 Player Draw vs Banker Stand Shift
P-Draw -19 bps / B-Stand 16 bps

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

DEP156 Fixed Tableau Gate
BANKER_TABLEAU[5][7] = true

Card removal alters entry probabilities into (5, 7) but never alters the fixed DRAW rule.

DEP156 Sample Coup Resolution
P(A+4)+7=2 vs B(2+3)=5 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP156.

COMBINATORIAL DEPLETION · DEP156

How Removing Jack (J) at 166 Cards Affects B5 Draw 4-7 Gate (DEP156)

At penetration mark [DEP156] (166 dealt, 250 undealt), Jack (J) weight is 14/250 (5.60% vs 7.69%), adjusting fifth-card entry into the Banker 5 four-value draw threshold against 4..7.

[DEP156-B] Under [DEP156], Jack (J) (0 pts) scarcity recalibrates Player draw entry (-19 bps) and Banker stand frequency (16 bps), while `bankerShouldDraw(5, 7)` draws a sixth card.

Depletion Matrix for DEP156 (Jack (J) at 166/416 Cards)
DEP156 MetricDEP156 Fresh 416-ShoeDEP156 At 166 DealtDEP156 Tableau Effect
[DEP156:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP156:Rank]32/416 (7.69%)14/250 (5.60%)Point Value 0
[DEP156:Shift]Baseline Draw/StandP -19 bps / B 16 bpsB5 Draw 4-7 Gate
[DEP156:Hand]P=5 vs B=5, P3=7P=2 vs B=56c (B)
  • [DEP156-1] Verify [DEP156] 250 unseen cards remain after 166/416 exit.
  • [DEP156-2] Compare [DEP156] Jack (J) density (14/250=5.60%) vs 7.69%.
  • [DEP156-3] Apply [DEP156] BANKER_TABLEAU[5][7]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP156

Why DEP156 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP156-C11] Auditioning [DEP156] at depth, Player opens 5 + 7 -> 2 while Banker opens 5 -> 5 across 6c (B in [DEP156]). Across [DEP156] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP156] BBPPBPBBPP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Jack (J) is depleted to 14/250 in DEP156, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[5][7] remains true at every shoe depth.
MythDeep shoe penetration at 166/416 cards in DEP156 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