Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Resolution #42
FINAL TOTAL RESOLUTION [RES042] · 6-CARD PROOF

Player 5 + 6 (6) vs. Banker 0 (Draws 4 (4)): 6-Card Resolution #42

In walkthrough RES042, Player opens with A+4 (5) and draws fifth-card 6 (6) for a modulo-10 total of 1, while Banker opens with 6+4 (0) and draws sixth-card 4 (4) for 4 (6-card B outcome).

RES042 Player Path
P:5->1
RES042 Banker Path
B:0->4
RES042 Deal Length
6 Cards
RES042 Showdown
B (1v4)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES042 (P5+6->1 vs B0->4).

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

RES042 Four-Card Opening Deal
Player A+4=5 vs Banker 6+4=0

Verified non-natural start via handTotal([A,4])=5 and handTotal([6,4])=0.

RES042 Fifth-Card Modulo Proof
(5 + 6) mod 10 = 1 via 6

Player draws fifth-card 6 (value 6), transforming two-card 5 into three-card 1.

RES042 Banker Tableau Lookup
BANKER_TABLEAU[0][6] = true

Banker 0 draws sixth-card 4 (4) so (0+4) mod 10 = 4.

RES042 Card Count & Winner
6 Cards -> B (1 vs 4)

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

RES042 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 · RES042

Step-by-Step Card Arithmetic for RES042: P(A+4)+6 vs B(6+4)

Step-by-step proof [RES042] pairs Player A+4 (5) with Banker 6+4 (0); because 5 sits in the 0..5 draw zone, fifth-card 6 (6) lands and 5+6=11 resolves the unit-digit sum to 1.

[RES042-B] Evaluating bankerShouldDraw(0, 6)=true (0-point unconditional draw tier) in [RES042], sixth-card 4 (4) advances Banker 0 via 0+4=4 to 4.

Complete 6-Card Resolution Trace for RES042
RES042 StageRES042 CardsRES042 Modulo MathRES042 Status
[RES042:Init]P(A+4)=5 vs B(6+4)=0playerShouldDraw(5)=true4-Card Deal
[RES042:5th]Player +6 (6)(5+6) mod 10 = 15th Card Sideways
[RES042:6th]Banker +4 (4)(0+4) mod 10 = 46-Card Final
[RES042:Settle]P=1 vs B=4Winner: BBig Road +B
  • [RES042-1] Confirm [RES042] opening P=5 (A+4) and B=0 (6+4) lack Natural 8/9.
  • [RES042-2] Add [RES042] fifth-card 6 (6) to P=5 for (5+6) mod 10 = 1.
  • [RES042-3] Run [RES042] BANKER_TABLEAU[0][6]=true to settle 1 vs 4 (B).
SETTLEMENT & SCOREBOARD · RES042

Showdown Settlement & Scoreboard Logging for RES042 (1 vs 4)

[RES042-C8] Comparing [RES042] final totals (6c), Player 1 vs Banker 4 awards [RES042] to Banker (B), which pays 0.95:1 on 5%-commission [RES042] layouts (or 0.5:1 on 6 at No-Commission [RES042] tables) and appends B to PPBBBPPPPB.

[RES042-D9] Side-bet & road check for [RES042] (P5+6->1 vs B0->4, 6c): [RES042] leaves [RES042] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=4) and leaves [RES042] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES042] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES042, Banker 0 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[0][6] = true.
MythBecause RES042 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