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SHOE PENETRATION & DEPLETION [DEP016] · 40% DEPTH

Jack (J) Depletion at 166/416 Cards (40%): B3 vs P3=8 Shade Impact #16

In shoe-depletion analysis DEP016, 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 B3 vs P3=8 Shade frequency by -22 bps.

DEP016 Shoe Depth
166/416 (40%)
DEP016 J Density
14/250 (5.60%)
DEP016 Draw Delta
-22 bps
DEP016 Tableau Gate
B3vP8: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 40% shoe-penetration state DEP016 (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

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

DEP016 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.

DEP016 Rank J Supply
14 of 32 Remaining (5.60%)

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

DEP016 Player Draw vs Banker Stand Shift
P-Draw -22 bps / B-Stand 30 bps

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

DEP016 Fixed Tableau Gate
BANKER_TABLEAU[3][8] = false

Card removal alters entry probabilities into (3, 8) but never alters the fixed STAND rule.

DEP016 Sample Coup Resolution
P(9+4)+8=1 vs B(10+3)=3 (B)

Verified 5-card hand via resolveHand() at penetration checkpoint DEP016.

COMBINATORIAL DEPLETION · DEP016

How Removing Jack (J) at 166 Cards Affects B3 vs P3=8 Shade (DEP016)

At penetration mark [DEP016] (166 dealt, 250 undealt), Jack (J) weight is 14/250 (5.60% vs 7.69%), adjusting fifth-card entry into the Banker 3 standing exception on Player third-card 8.

[DEP016-B] Under [DEP016], Jack (J) (0 pts) scarcity recalibrates Player draw entry (-22 bps) and Banker stand frequency (30 bps), while `bankerShouldDraw(3, 8)` stands pat on five cards.

Depletion Matrix for DEP016 (Jack (J) at 166/416 Cards)
DEP016 MetricDEP016 Fresh 416-ShoeDEP016 At 166 DealtDEP016 Tableau Effect
[DEP016:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP016:Rank]32/416 (7.69%)14/250 (5.60%)Point Value 0
[DEP016:Shift]Baseline Draw/StandP -22 bps / B 30 bpsB3 vs P3=8 Shade
[DEP016:Hand]P=3 vs B=3, P3=8P=1 vs B=35c (B)
  • [DEP016-1] Verify [DEP016] 250 unseen cards remain after 166/416 exit.
  • [DEP016-2] Compare [DEP016] Jack (J) density (14/250=5.60%) vs 7.69%.
  • [DEP016-3] Apply [DEP016] BANKER_TABLEAU[3][8]=false (5c B).
INDEPENDENCE & ROAD LOGGING · DEP016

Why DEP016 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP016-C6] Auditioning [DEP016] at depth, Player opens 3 + 8 -> 1 while Banker opens 3 -> 3 across 5c (B in [DEP016]). Across [DEP016] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP016] BBPPBBPBPB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Jack (J) is depleted to 14/250 in DEP016, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[3][8] remains false at every shoe depth.
MythDeep shoe penetration at 166/416 cards in DEP016 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