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SHOE PENETRATION & DEPLETION [DEP282] · 25% DEPTH

Jack (J) Depletion at 104/416 Cards (25%): P0-5 vs B-Stand Impact #282

In shoe-depletion analysis DEP282, 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 P0-5 vs B-Stand frequency by -48 bps.

DEP282 Shoe Depth
104/416 (25%)
DEP282 J Density
21/312 (6.73%)
DEP282 Draw Delta
-48 bps
DEP282 Tableau Gate
B2vP1: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 B B B P P P B B B B P
Big Eye Boy = = ≠ = ≠ ≠ ≠ ≠ = ≠ = = = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ = = ≠ ≠
Cockroach Pig ≠ = = = ≠ = ≠ = ≠ ≠ ≠ = = ≠

Scoreboard trajectory paired with 25% shoe-penetration state DEP282 (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 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

DEP282 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.

DEP282 Rank J Supply
21 of 32 Remaining (6.73%)

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

DEP282 Player Draw vs Banker Stand Shift
P-Draw -48 bps / B-Stand 22 bps

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

DEP282 Fixed Tableau Gate
BANKER_TABLEAU[2][1] = true

Card removal alters entry probabilities into (2, 1) but never alters the fixed DRAW rule.

DEP282 Sample Coup Resolution
P(A+4)+A=6 vs B(10+2)=5 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP282.

COMBINATORIAL DEPLETION · DEP282

How Removing Jack (J) at 104 Cards Affects P0-5 vs B-Stand (DEP282)

At penetration mark [DEP282] (104 dealt, 312 undealt), Jack (J) weight is 21/312 (6.73% vs 7.69%), adjusting fifth-card entry into the Player 0..5 fifth-card draw rate versus Banker 6..7 stand rate.

[DEP282-B] Under [DEP282], Jack (J) (0 pts) scarcity recalibrates Player draw entry (-48 bps) and Banker stand frequency (22 bps), while `bankerShouldDraw(2, 1)` draws a sixth card.

Depletion Matrix for DEP282 (Jack (J) at 104/416 Cards)
DEP282 MetricDEP282 Fresh 416-ShoeDEP282 At 104 DealtDEP282 Tableau Effect
[DEP282:Shoe]416 Cards (0% Dealt)312 Left (25% Dealt)Early-Shoe Quarter Marker (2 decks dealt)
[DEP282:Rank]32/416 (7.69%)21/312 (6.73%)Point Value 0
[DEP282:Shift]Baseline Draw/StandP -48 bps / B 22 bpsP0-5 vs B-Stand
[DEP282:Hand]P=5 vs B=2, P3=1P=6 vs B=56c (P)
  • [DEP282-1] Verify [DEP282] 312 unseen cards remain after 104/416 exit.
  • [DEP282-2] Compare [DEP282] Jack (J) density (21/312=6.73%) vs 7.69%.
  • [DEP282-3] Apply [DEP282] BANKER_TABLEAU[2][1]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP282

Why DEP282 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP282-C9] Auditioning [DEP282] at depth, Player opens 5 + 1 -> 6 while Banker opens 2 -> 5 across 6c (P in [DEP282]). Across [DEP282] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP282] BBPPBPBBPB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Jack (J) is depleted to 21/312 in DEP282, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[2][1] remains true at every shoe depth.
MythDeep shoe penetration at 104/416 cards in DEP282 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
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