Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Resolution #96
FINAL TOTAL RESOLUTION [RES096] · 6-CARD PROOF

Player 5 + 5 (5) vs. Banker 1 (Draws 6 (6)): 6-Card Resolution #96

In walkthrough RES096, Player opens with A+4 (5) and draws fifth-card 5 (5) for a modulo-10 total of 0, while Banker opens with 10+A (1) and draws sixth-card 6 (6) for 7 (6-card B outcome).

RES096 Player Path
P:5->0
RES096 Banker Path
B:1->7
RES096 Deal Length
6 Cards
RES096 Showdown
B (0v7)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES096 (P5+5->0 vs B1->7).

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 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.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

  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 2 beads. Same depth → red (=).

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

RES096 Four-Card Opening Deal
Player A+4=5 vs Banker 10+A=1

Verified non-natural start via handTotal([A,4])=5 and handTotal([10,A])=1.

RES096 Fifth-Card Modulo Proof
(5 + 5) mod 10 = 0 via 5

Player draws fifth-card 5 (value 5), transforming two-card 5 into three-card 0.

RES096 Banker Tableau Lookup
BANKER_TABLEAU[1][5] = true

Banker 1 draws sixth-card 6 (6) so (1+6) mod 10 = 7.

RES096 Card Count & Winner
6 Cards -> B (0 vs 7)

Computed directly from resolveHand() with zero discretionary dealer options.

RES096 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

Big Eye Boy, Small Road, and Cockroach Pig compare Big Road column depths, not B vs P.

MODULO-10 ARITHMETIC · RES096

Step-by-Step Card Arithmetic for RES096: P(A+4)+5 vs B(10+A)

Floor verification [RES096] inspects Player A+4 (5) versus Banker 10+A (1); once fifth-card 5 (5) is exposed sideways, 5+5=10 drops the tens digit to three-card 0.

[RES096-B] Six-card branch [RES096] activates as 5 (5) hits Banker 1's 1-point automatic draw row; drawing 6 (6) sends 1+6=7 to 7.

Complete 6-Card Resolution Trace for RES096
RES096 StageRES096 CardsRES096 Modulo MathRES096 Status
[RES096:Init]P(A+4)=5 vs B(10+A)=1playerShouldDraw(5)=true4-Card Deal
[RES096:5th]Player +5 (5)(5+5) mod 10 = 05th Card Sideways
[RES096:6th]Banker +6 (6)(1+6) mod 10 = 76-Card Final
[RES096:Settle]P=0 vs B=7Winner: BBig Road +B
  • [RES096-1] Confirm [RES096] opening P=5 (A+4) and B=1 (10+A) lack Natural 8/9.
  • [RES096-2] Add [RES096] fifth-card 5 (5) to P=5 for (5+5) mod 10 = 0.
  • [RES096-3] Run [RES096] BANKER_TABLEAU[1][5]=true to settle 0 vs 7 (B).
SETTLEMENT & SCOREBOARD · RES096

Showdown Settlement & Scoreboard Logging for RES096 (0 vs 7)

[RES096-C3] Comparing [RES096] final totals (6c), Player 0 vs Banker 7 awards [RES096] to Banker (B), which pays 0.95:1 on 5%-commission [RES096] layouts (or 0.5:1 on 6 at No-Commission [RES096] tables) and appends B to PPBBPBPPBP.

[RES096-D1] Side-bet & road check for [RES096] (P5+5->0 vs B1->7, 6c): [RES096] triggers [RES096] Dragon 7 (winning 3-card Banker 7, 40:1) and leaves [RES096] Panda 8 inactive (needs winning 3c Player 8, got P=0); on [RES096] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES096, Banker 1 evaluates Player's three-card total (0) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 5 (value 5) via BANKER_TABLEAU[1][5] = true.
MythBecause RES096 resolves as B, the next derived-road mark must match B's colour.
TruthDerived roads record Red (=) when Big Road structure repeats and Blue (≠) when it breaks—never Banker or Player.
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