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SHOE PENETRATION & DEPLETION [DEP226] · 40% DEPTH

Jack (J) Depletion at 166/416 Cards (40%): B6 Draw 6-7 Gate Impact #226

In shoe-depletion analysis DEP226, 166 of 416 cards (40%) have exited the shoe, leaving 16 copies of Jack (J) among 250 unseen cards (6.40% vs baseline 7.69%) and shifting B6 Draw 6-7 Gate frequency by -36 bps.

DEP226 Shoe Depth
166/416 (40%)
DEP226 J Density
16/250 (6.40%)
DEP226 Draw Delta
-36 bps
DEP226 Tableau Gate
B6vP7: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 P P P B B B B P P B P B B
Big Eye Boy = = ≠ = = ≠ = ≠ = = ≠ ≠ = ≠ ≠ = ≠
Small Road ≠ ≠ = ≠ = ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠
Cockroach Pig ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ =

Scoreboard trajectory paired with 40% shoe-penetration state DEP226 (Jack (J) -> 16/250).

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

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

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

DEP226 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.

DEP226 Rank J Supply
16 of 32 Remaining (6.40%)

Compares depleted density 6.40% against fresh 8-deck baseline 7.69% for Jack (J).

DEP226 Player Draw vs Banker Stand Shift
P-Draw -36 bps / B-Stand 9 bps

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

DEP226 Fixed Tableau Gate
BANKER_TABLEAU[6][7] = true

Card removal alters entry probabilities into (6, 7) but never alters the fixed DRAW rule.

DEP226 Sample Coup Resolution
P(9+4)+7=0 vs B(3+3)=7 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP226.

COMBINATORIAL DEPLETION · DEP226

How Removing Jack (J) at 166 Cards Affects B6 Draw 6-7 Gate (DEP226)

At penetration mark [DEP226] (166 dealt, 250 undealt), Jack (J) weight is 16/250 (6.40% vs 7.69%), adjusting fifth-card entry into the Banker 6 two-value sixth-card trigger against 6 or 7.

[DEP226-B] Under [DEP226], Jack (J) (0 pts) scarcity recalibrates Player draw entry (-36 bps) and Banker stand frequency (9 bps), while `bankerShouldDraw(6, 7)` draws a sixth card.

Depletion Matrix for DEP226 (Jack (J) at 166/416 Cards)
DEP226 MetricDEP226 Fresh 416-ShoeDEP226 At 166 DealtDEP226 Tableau Effect
[DEP226:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP226:Rank]32/416 (7.69%)16/250 (6.40%)Point Value 0
[DEP226:Shift]Baseline Draw/StandP -36 bps / B 9 bpsB6 Draw 6-7 Gate
[DEP226:Hand]P=3 vs B=6, P3=7P=0 vs B=76c (B)
  • [DEP226-1] Verify [DEP226] 250 unseen cards remain after 166/416 exit.
  • [DEP226-2] Compare [DEP226] Jack (J) density (16/250=6.40%) vs 7.69%.
  • [DEP226-3] Apply [DEP226] BANKER_TABLEAU[6][7]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP226

Why DEP226 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP226-C7] Auditioning [DEP226] at depth, Player opens 3 + 7 -> 0 while Banker opens 6 -> 7 across 6c (B in [DEP226]). Across [DEP226] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP226] BBPPBPBPPP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Jack (J) is depleted to 16/250 in DEP226, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[6][7] remains true at every shoe depth.
MythDeep shoe penetration at 166/416 cards in DEP226 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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