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SHOE PENETRATION & DEPLETION [DEP142] · 25% DEPTH

Jack (J) Depletion at 104/416 Cards (25%): B5 Draw 4-7 Gate Impact #142

In shoe-depletion analysis DEP142, 104 of 416 cards (25%) have exited the shoe, leaving 21 copies of Jack (J) among 312 unseen cards (6.73% vs baseline 7.69%) and shifting B5 Draw 4-7 Gate frequency by -14 bps.

DEP142 Shoe Depth
104/416 (25%)
DEP142 J Density
21/312 (6.73%)
DEP142 Draw Delta
-14 bps
DEP142 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 25% shoe-penetration state DEP142 (Jack (J) -> 21/312).

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

DEP142 Penetration Depth
104 Dealt / 312 Remaining (25%)

Evaluated at Early-Shoe Quarter Marker (2 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP142 Rank J Supply
21 of 32 Remaining (6.73%)

Compares depleted density 6.73% against fresh 8-deck baseline 7.69% for Jack (J).

DEP142 Player Draw vs Banker Stand Shift
P-Draw -14 bps / B-Stand 36 bps

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

DEP142 Fixed Tableau Gate
BANKER_TABLEAU[5][5] = true

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

DEP142 Sample Coup Resolution
P(9+4)+5=8 vs B(2+3)=1 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP142.

COMBINATORIAL DEPLETION · DEP142

How Removing Jack (J) at 104 Cards Affects B5 Draw 4-7 Gate (DEP142)

At penetration mark [DEP142] (104 dealt, 312 undealt), Jack (J) weight is 21/312 (6.73% vs 7.69%), adjusting fifth-card entry into the Banker 5 four-value draw threshold against 4..7.

[DEP142-B] Under [DEP142], Jack (J) (0 pts) scarcity recalibrates Player draw entry (-14 bps) and Banker stand frequency (36 bps), while `bankerShouldDraw(5, 5)` draws a sixth card.

Depletion Matrix for DEP142 (Jack (J) at 104/416 Cards)
DEP142 MetricDEP142 Fresh 416-ShoeDEP142 At 104 DealtDEP142 Tableau Effect
[DEP142:Shoe]416 Cards (0% Dealt)312 Left (25% Dealt)Early-Shoe Quarter Marker (2 decks dealt)
[DEP142:Rank]32/416 (7.69%)21/312 (6.73%)Point Value 0
[DEP142:Shift]Baseline Draw/StandP -14 bps / B 36 bpsB5 Draw 4-7 Gate
[DEP142:Hand]P=3 vs B=5, P3=5P=8 vs B=16c (P)
  • [DEP142-1] Verify [DEP142] 312 unseen cards remain after 104/416 exit.
  • [DEP142-2] Compare [DEP142] Jack (J) density (21/312=6.73%) vs 7.69%.
  • [DEP142-3] Apply [DEP142] BANKER_TABLEAU[5][5]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP142

Why DEP142 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP142-C4] Auditioning [DEP142] at depth, Player opens 3 + 5 -> 8 while Banker opens 5 -> 1 across 6c (P in [DEP142]). Across [DEP142] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP142] BBPPPBBPBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Jack (J) is depleted to 21/312 in DEP142, 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 104/416 cards in DEP142 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