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SHOE PENETRATION & DEPLETION [DEP310] · 55% DEPTH

Jack (J) Depletion at 229/416 Cards (55%): P0-5 vs B-Stand Impact #310

In shoe-depletion analysis DEP310, 229 of 416 cards (55%) have exited the shoe, leaving 11 copies of Jack (J) among 187 unseen cards (5.88% vs baseline 7.69%) and shifting P0-5 vs B-Stand frequency by -21 bps.

DEP310 Shoe Depth
229/416 (55%)
DEP310 J Density
11/187 (5.88%)
DEP310 Draw Delta
-21 bps
DEP310 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 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 55% shoe-penetration state DEP310 (Jack (J) -> 11/187).

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

DEP310 Penetration Depth
229 Dealt / 187 Remaining (55%)

Evaluated at Mid-Shoe Crossover (4.4 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP310 Rank J Supply
11 of 32 Remaining (5.88%)

Compares depleted density 5.88% against fresh 8-deck baseline 7.69% for Jack (J).

DEP310 Player Draw vs Banker Stand Shift
P-Draw -21 bps / B-Stand 13 bps

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

DEP310 Fixed Tableau Gate
BANKER_TABLEAU[2][1] = true

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

DEP310 Sample Coup Resolution
P(9+4)+A=4 vs B(10+2)=3 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP310.

COMBINATORIAL DEPLETION · DEP310

How Removing Jack (J) at 229 Cards Affects P0-5 vs B-Stand (DEP310)

At penetration mark [DEP310] (229 dealt, 187 undealt), Jack (J) weight is 11/187 (5.88% vs 7.69%), adjusting fifth-card entry into the Player 0..5 fifth-card draw rate versus Banker 6..7 stand rate.

[DEP310-B] Under [DEP310], Jack (J) (0 pts) scarcity recalibrates Player draw entry (-21 bps) and Banker stand frequency (13 bps), while `bankerShouldDraw(2, 1)` draws a sixth card.

Depletion Matrix for DEP310 (Jack (J) at 229/416 Cards)
DEP310 MetricDEP310 Fresh 416-ShoeDEP310 At 229 DealtDEP310 Tableau Effect
[DEP310:Shoe]416 Cards (0% Dealt)187 Left (55% Dealt)Mid-Shoe Crossover (4.4 decks dealt)
[DEP310:Rank]32/416 (7.69%)11/187 (5.88%)Point Value 0
[DEP310:Shift]Baseline Draw/StandP -21 bps / B 13 bpsP0-5 vs B-Stand
[DEP310:Hand]P=3 vs B=2, P3=1P=4 vs B=36c (P)
  • [DEP310-1] Verify [DEP310] 187 unseen cards remain after 229/416 exit.
  • [DEP310-2] Compare [DEP310] Jack (J) density (11/187=5.88%) vs 7.69%.
  • [DEP310-3] Apply [DEP310] BANKER_TABLEAU[2][1]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP310

Why DEP310 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP310-C10] Auditioning [DEP310] at depth, Player opens 3 + 1 -> 4 while Banker opens 2 -> 3 across 6c (P in [DEP310]). Across [DEP310] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP310] BBPPBPPPBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Jack (J) is depleted to 11/187 in DEP310, 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 229/416 cards in DEP310 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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