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SHOE PENETRATION & DEPLETION [DEP086] · 40% DEPTH

Jack (J) Depletion at 166/416 Cards (40%): B4 Draw 2-7 Gate Impact #86

In shoe-depletion analysis DEP086, 166 of 416 cards (40%) have exited the shoe, leaving 16 copies of Jack (J) among 250 unseen cards (6.40% vs baseline 7.69%) and shifting B4 Draw 2-7 Gate frequency by -39 bps.

DEP086 Shoe Depth
166/416 (40%)
DEP086 J Density
16/250 (6.40%)
DEP086 Draw Delta
-39 bps
DEP086 Tableau Gate
B4vP3: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 P P B B B B P B B P P B B P
Big Eye Boy = = ≠ ≠ = ≠ = = ≠ ≠ ≠ ≠ ≠ = = = =
Small Road ≠ = ≠ ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = =
Cockroach Pig = ≠ ≠ = ≠ = ≠ = = ≠ = ≠ ≠ ≠

Scoreboard trajectory paired with 40% shoe-penetration state DEP086 (Jack (J) -> 16/250).

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

  1. Column 4 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 stopped at Row 2, one row above → blue (≠).

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.

Cockroach Pig Mark #3

Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

DEP086 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.

DEP086 Rank J Supply
16 of 32 Remaining (6.40%)

Compares depleted density 6.40% against fresh 8-deck baseline 7.69% for Jack (J).

DEP086 Player Draw vs Banker Stand Shift
P-Draw -39 bps / B-Stand 23 bps

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

DEP086 Fixed Tableau Gate
BANKER_TABLEAU[4][3] = true

Card removal alters entry probabilities into (4, 3) but never alters the fixed DRAW rule.

DEP086 Sample Coup Resolution
P(7+4)+3=4 vs B(2+2)=3 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP086.

COMBINATORIAL DEPLETION · DEP086

How Removing Jack (J) at 166 Cards Affects B4 Draw 2-7 Gate (DEP086)

At penetration mark [DEP086] (166 dealt, 250 undealt), Jack (J) weight is 16/250 (6.40% vs 7.69%), adjusting fifth-card entry into the Banker 4 active six-card draw window against 2..7.

[DEP086-B] Under [DEP086], Jack (J) (0 pts) scarcity recalibrates Player draw entry (-39 bps) and Banker stand frequency (23 bps), while `bankerShouldDraw(4, 3)` draws a sixth card.

Depletion Matrix for DEP086 (Jack (J) at 166/416 Cards)
DEP086 MetricDEP086 Fresh 416-ShoeDEP086 At 166 DealtDEP086 Tableau Effect
[DEP086:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP086:Rank]32/416 (7.69%)16/250 (6.40%)Point Value 0
[DEP086:Shift]Baseline Draw/StandP -39 bps / B 23 bpsB4 Draw 2-7 Gate
[DEP086:Hand]P=1 vs B=4, P3=3P=4 vs B=36c (P)
  • [DEP086-1] Verify [DEP086] 250 unseen cards remain after 166/416 exit.
  • [DEP086-2] Compare [DEP086] Jack (J) density (16/250=6.40%) vs 7.69%.
  • [DEP086-3] Apply [DEP086] BANKER_TABLEAU[4][3]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP086

Why DEP086 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP086-C2] Auditioning [DEP086] at depth, Player opens 1 + 3 -> 4 while Banker opens 4 -> 3 across 6c (P in [DEP086]). Across [DEP086] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP086] BBPPBPPPBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Jack (J) is depleted to 16/250 in DEP086, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[4][3] remains true at every shoe depth.
MythDeep shoe penetration at 166/416 cards in DEP086 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