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SHOE PENETRATION & DEPLETION [DEP100] · 55% DEPTH

Jack (J) Depletion at 229/416 Cards (55%): B4 Draw 2-7 Gate Impact #100

In shoe-depletion analysis DEP100, 229 of 416 cards (55%) have exited the shoe, leaving 9 copies of Jack (J) among 187 unseen cards (4.81% vs baseline 7.69%) and shifting B4 Draw 2-7 Gate frequency by -44 bps.

DEP100 Shoe Depth
229/416 (55%)
DEP100 J Density
9/187 (4.81%)
DEP100 Draw Delta
-44 bps
DEP100 Tableau Gate
B4vP5: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 B B P P B P P P B B B P B
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ = = = ≠
Small Road = ≠ = ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠
Cockroach Pig = = ≠ = = ≠ = ≠ ≠ =

Scoreboard trajectory paired with 55% shoe-penetration state DEP100 (Jack (J) -> 9/187).

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 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

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

  1. Column 3 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 1 bead. 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 1 bead. 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

DEP100 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.

DEP100 Rank J Supply
9 of 32 Remaining (4.81%)

Compares depleted density 4.81% against fresh 8-deck baseline 7.69% for Jack (J).

DEP100 Player Draw vs Banker Stand Shift
P-Draw -44 bps / B-Stand 34 bps

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

DEP100 Fixed Tableau Gate
BANKER_TABLEAU[4][5] = true

Card removal alters entry probabilities into (4, 5) but never alters the fixed DRAW rule.

DEP100 Sample Coup Resolution
P(9+4)+5=8 vs B(2+2)=7 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP100.

COMBINATORIAL DEPLETION · DEP100

How Removing Jack (J) at 229 Cards Affects B4 Draw 2-7 Gate (DEP100)

At penetration mark [DEP100] (229 dealt, 187 undealt), Jack (J) weight is 9/187 (4.81% vs 7.69%), adjusting fifth-card entry into the Banker 4 active six-card draw window against 2..7.

[DEP100-B] Under [DEP100], Jack (J) (0 pts) scarcity recalibrates Player draw entry (-44 bps) and Banker stand frequency (34 bps), while `bankerShouldDraw(4, 5)` draws a sixth card.

Depletion Matrix for DEP100 (Jack (J) at 229/416 Cards)
DEP100 MetricDEP100 Fresh 416-ShoeDEP100 At 229 DealtDEP100 Tableau Effect
[DEP100:Shoe]416 Cards (0% Dealt)187 Left (55% Dealt)Mid-Shoe Crossover (4.4 decks dealt)
[DEP100:Rank]32/416 (7.69%)9/187 (4.81%)Point Value 0
[DEP100:Shift]Baseline Draw/StandP -44 bps / B 34 bpsB4 Draw 2-7 Gate
[DEP100:Hand]P=3 vs B=4, P3=5P=8 vs B=76c (P)
  • [DEP100-1] Verify [DEP100] 187 unseen cards remain after 229/416 exit.
  • [DEP100-2] Compare [DEP100] Jack (J) density (9/187=4.81%) vs 7.69%.
  • [DEP100-3] Apply [DEP100] BANKER_TABLEAU[4][5]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP100

Why DEP100 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP100-C9] Auditioning [DEP100] at depth, Player opens 3 + 5 -> 8 while Banker opens 4 -> 7 across 6c (P in [DEP100]). Across [DEP100] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP100] BBPPPBBBBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Jack (J) is depleted to 9/187 in DEP100, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[4][5] remains true at every shoe depth.
MythDeep shoe penetration at 229/416 cards in DEP100 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

Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.

  • 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