Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Depletion #184
SHOE PENETRATION & DEPLETION [DEP184] · 70% DEPTH

Jack (J) Depletion at 291/416 Cards (70%): B5 Draw 4-7 Gate Impact #184

In shoe-depletion analysis DEP184, 291 of 416 cards (70%) have exited the shoe, leaving 5 copies of Jack (J) among 125 unseen cards (4.00% vs baseline 7.69%) and shifting B5 Draw 4-7 Gate frequency by -29 bps.

DEP184 Shoe Depth
291/416 (70%)
DEP184 J Density
5/125 (4.00%)
DEP184 Draw Delta
-29 bps
DEP184 Tableau Gate
B5vP7:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P B B P P P B B B B P P B P P P B
Big Eye Boy = = = = = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠
Small Road = = = ≠ ≠ = ≠ = ≠ = ≠ ≠ = ≠ ≠
Cockroach Pig = ≠ ≠ = ≠ = ≠ = = ≠ = = ≠

Scoreboard trajectory paired with 70% shoe-penetration state DEP184 (Jack (J) -> 5/125).

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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

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.

Small Road Mark #3

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

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

DEP184 Penetration Depth
291 Dealt / 125 Remaining (70%)

Evaluated at Deep-Shoe Segment (5.6 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP184 Rank J Supply
5 of 32 Remaining (4.00%)

Compares depleted density 4.00% against fresh 8-deck baseline 7.69% for Jack (J).

DEP184 Player Draw vs Banker Stand Shift
P-Draw -29 bps / B-Stand 38 bps

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

DEP184 Fixed Tableau Gate
BANKER_TABLEAU[5][7] = true

Card removal alters entry probabilities into (5, 7) but never alters the fixed DRAW rule.

DEP184 Sample Coup Resolution
P(9+4)+7=0 vs B(2+3)=3 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP184.

COMBINATORIAL DEPLETION · DEP184

How Removing Jack (J) at 291 Cards Affects B5 Draw 4-7 Gate (DEP184)

At penetration mark [DEP184] (291 dealt, 125 undealt), Jack (J) weight is 5/125 (4.00% vs 7.69%), adjusting fifth-card entry into the Banker 5 four-value draw threshold against 4..7.

[DEP184-B] Under [DEP184], Jack (J) (0 pts) scarcity recalibrates Player draw entry (-29 bps) and Banker stand frequency (38 bps), while `bankerShouldDraw(5, 7)` draws a sixth card.

Depletion Matrix for DEP184 (Jack (J) at 291/416 Cards)
DEP184 MetricDEP184 Fresh 416-ShoeDEP184 At 291 DealtDEP184 Tableau Effect
[DEP184:Shoe]416 Cards (0% Dealt)125 Left (70% Dealt)Deep-Shoe Segment (5.6 decks dealt)
[DEP184:Rank]32/416 (7.69%)5/125 (4.00%)Point Value 0
[DEP184:Shift]Baseline Draw/StandP -29 bps / B 38 bpsB5 Draw 4-7 Gate
[DEP184:Hand]P=3 vs B=5, P3=7P=0 vs B=36c (B)
  • [DEP184-1] Verify [DEP184] 125 unseen cards remain after 291/416 exit.
  • [DEP184-2] Compare [DEP184] Jack (J) density (5/125=4.00%) vs 7.69%.
  • [DEP184-3] Apply [DEP184] BANKER_TABLEAU[5][7]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP184

Why DEP184 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP184-C12] Auditioning [DEP184] at depth, Player opens 3 + 7 -> 0 while Banker opens 5 -> 3 across 6c (B in [DEP184]). Across [DEP184] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP184] BBPPBBPPPB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Jack (J) is depleted to 5/125 in DEP184, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[5][7] remains true at every shoe depth.
MythDeep shoe penetration at 291/416 cards in DEP184 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