Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Depletion #30
SHOE PENETRATION & DEPLETION [DEP030] · 55% DEPTH

Jack (J) Depletion at 229/416 Cards (55%): B3 vs P3=8 Shade Impact #30

In shoe-depletion analysis DEP030, 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 B3 vs P3=8 Shade frequency by -27 bps.

DEP030 Shoe Depth
229/416 (55%)
DEP030 J Density
11/187 (5.88%)
DEP030 Draw Delta
-27 bps
DEP030 Tableau Gate
B3vP8:STAND
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 P B B P P B P P P B B B B
Big Eye Boy = ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ = ≠ = = ≠
Small Road = = ≠ = = ≠ ≠ ≠ = ≠ ≠ ≠ = =
Cockroach Pig ≠ = ≠ = = = = ≠ ≠ = ≠ =

Scoreboard trajectory paired with 55% shoe-penetration state DEP030 (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 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

Column 4 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 5 has 2 beads. 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 2 beads. 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

DEP030 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.

DEP030 Rank J Supply
11 of 32 Remaining (5.88%)

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

DEP030 Player Draw vs Banker Stand Shift
P-Draw -27 bps / B-Stand 10 bps

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

DEP030 Fixed Tableau Gate
BANKER_TABLEAU[3][8] = false

Card removal alters entry probabilities into (3, 8) but never alters the fixed STAND rule.

DEP030 Sample Coup Resolution
P(A+4)+8=3 vs B(10+3)=3 (T)

Verified 5-card hand via resolveHand() at penetration checkpoint DEP030.

COMBINATORIAL DEPLETION · DEP030

How Removing Jack (J) at 229 Cards Affects B3 vs P3=8 Shade (DEP030)

At penetration mark [DEP030] (229 dealt, 187 undealt), Jack (J) weight is 11/187 (5.88% vs 7.69%), adjusting fifth-card entry into the Banker 3 standing exception on Player third-card 8.

[DEP030-B] Under [DEP030], Jack (J) (0 pts) scarcity recalibrates Player draw entry (-27 bps) and Banker stand frequency (10 bps), while `bankerShouldDraw(3, 8)` stands pat on five cards.

Depletion Matrix for DEP030 (Jack (J) at 229/416 Cards)
DEP030 MetricDEP030 Fresh 416-ShoeDEP030 At 229 DealtDEP030 Tableau Effect
[DEP030:Shoe]416 Cards (0% Dealt)187 Left (55% Dealt)Mid-Shoe Crossover (4.4 decks dealt)
[DEP030:Rank]32/416 (7.69%)11/187 (5.88%)Point Value 0
[DEP030:Shift]Baseline Draw/StandP -27 bps / B 10 bpsB3 vs P3=8 Shade
[DEP030:Hand]P=5 vs B=3, P3=8P=3 vs B=35c (T)
  • [DEP030-1] Verify [DEP030] 187 unseen cards remain after 229/416 exit.
  • [DEP030-2] Compare [DEP030] Jack (J) density (11/187=5.88%) vs 7.69%.
  • [DEP030-3] Apply [DEP030] BANKER_TABLEAU[3][8]=false (5c T).
INDEPENDENCE & ROAD LOGGING · DEP030

Why DEP030 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP030-C0] Auditioning [DEP030] at depth, Player opens 5 + 8 -> 3 while Banker opens 3 -> 3 across 5c (T in [DEP030]). Across [DEP030] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging T onto [DEP030] BBPPPBBPBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Jack (J) is depleted to 11/187 in DEP030, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[3][8] remains false at every shoe depth.
MythDeep shoe penetration at 229/416 cards in DEP030 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