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SHOE PENETRATION & DEPLETION [DEP198] · 82% DEPTH

Jack (J) Depletion at 341/416 Cards (82%): B5 Draw 4-7 Gate Impact #198

In shoe-depletion analysis DEP198, 341 of 416 cards (82%) have exited the shoe, leaving 3 copies of Jack (J) among 75 unseen cards (4.00% vs baseline 7.69%) and shifting B5 Draw 4-7 Gate frequency by -34 bps.

DEP198 Shoe Depth
341/416 (82%)
DEP198 J Density
3/75 (4.00%)
DEP198 Draw Delta
-34 bps
DEP198 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 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 82% shoe-penetration state DEP198 (Jack (J) -> 3/75).

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

DEP198 Penetration Depth
341 Dealt / 75 Remaining (82%)

Evaluated at Pre-Cut-Card Tail (6.5 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP198 Rank J Supply
3 of 32 Remaining (4.00%)

Compares depleted density 4.00% against fresh 8-deck baseline 7.69% for Jack (J).

DEP198 Player Draw vs Banker Stand Shift
P-Draw -34 bps / B-Stand 18 bps

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

DEP198 Fixed Tableau Gate
BANKER_TABLEAU[5][5] = true

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

DEP198 Sample Coup Resolution
P(A+4)+5=0 vs B(2+3)=7 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP198.

COMBINATORIAL DEPLETION · DEP198

How Removing Jack (J) at 341 Cards Affects B5 Draw 4-7 Gate (DEP198)

At penetration mark [DEP198] (341 dealt, 75 undealt), Jack (J) weight is 3/75 (4.00% vs 7.69%), adjusting fifth-card entry into the Banker 5 four-value draw threshold against 4..7.

[DEP198-B] Under [DEP198], Jack (J) (0 pts) scarcity recalibrates Player draw entry (-34 bps) and Banker stand frequency (18 bps), while `bankerShouldDraw(5, 5)` draws a sixth card.

Depletion Matrix for DEP198 (Jack (J) at 341/416 Cards)
DEP198 MetricDEP198 Fresh 416-ShoeDEP198 At 341 DealtDEP198 Tableau Effect
[DEP198:Shoe]416 Cards (0% Dealt)75 Left (82% Dealt)Pre-Cut-Card Tail (6.5 decks dealt)
[DEP198:Rank]32/416 (7.69%)3/75 (4.00%)Point Value 0
[DEP198:Shift]Baseline Draw/StandP -34 bps / B 18 bpsB5 Draw 4-7 Gate
[DEP198:Hand]P=5 vs B=5, P3=5P=0 vs B=76c (B)
  • [DEP198-1] Verify [DEP198] 75 unseen cards remain after 341/416 exit.
  • [DEP198-2] Compare [DEP198] Jack (J) density (3/75=4.00%) vs 7.69%.
  • [DEP198-3] Apply [DEP198] BANKER_TABLEAU[5][5]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP198

Why DEP198 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP198-C6] Auditioning [DEP198] at depth, Player opens 5 + 5 -> 0 while Banker opens 5 -> 7 across 6c (B in [DEP198]). Across [DEP198] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP198] BBPPBPPPBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Jack (J) is depleted to 3/75 in DEP198, 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 341/416 cards in DEP198 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.
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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
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