Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Resolution #126
FINAL TOTAL RESOLUTION [RES126] · 6-CARD PROOF

Player 5 + 10 (0) vs. Banker 2 (Draws 2 (2)): 6-Card Resolution #126

In walkthrough RES126, Player opens with A+4 (5) and draws fifth-card 10 (0) for a modulo-10 total of 5, while Banker opens with 8+4 (2) and draws sixth-card 2 (2) for 4 (6-card P outcome).

RES126 Player Path
P:5->5
RES126 Banker Path
B:2->4
RES126 Deal Length
6 Cards
RES126 Showdown
P (5v4)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES126 (P5+0->5 vs B2->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

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

RES126 Four-Card Opening Deal
Player A+4=5 vs Banker 8+4=2

Verified non-natural start via handTotal([A,4])=5 and handTotal([8,4])=2.

RES126 Fifth-Card Modulo Proof
(5 + 0) mod 10 = 5 via 10

Player draws fifth-card 10 (value 0), transforming two-card 5 into three-card 5.

RES126 Banker Tableau Lookup
BANKER_TABLEAU[2][0] = true

Banker 2 draws sixth-card 2 (2) so (2+2) mod 10 = 4.

RES126 Card Count & Winner
6 Cards -> P (5 vs 4)

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

RES126 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

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

MODULO-10 ARITHMETIC · RES126

Step-by-Step Card Arithmetic for RES126: P(A+4)+10 vs B(8+4)

Step-by-step proof [RES126] pairs Player A+4 (5) with Banker 8+4 (2); because 5 sits in the 0..5 draw zone, fifth-card 10 (0) lands and 5+0=5 resolves the unit-digit sum to 5.

[RES126-B] Next in [RES126], Banker consults 2-point mandatory draw band: facing fifth-card 10 (0), Banker 2 draws 2 (2) so 2+2=4 -> 4.

Complete 6-Card Resolution Trace for RES126
RES126 StageRES126 CardsRES126 Modulo MathRES126 Status
[RES126:Init]P(A+4)=5 vs B(8+4)=2playerShouldDraw(5)=true4-Card Deal
[RES126:5th]Player +10 (0)(5+0) mod 10 = 55th Card Sideways
[RES126:6th]Banker +2 (2)(2+2) mod 10 = 46-Card Final
[RES126:Settle]P=5 vs B=4Winner: PBig Road +P
  • [RES126-1] Confirm [RES126] opening P=5 (A+4) and B=2 (8+4) lack Natural 8/9.
  • [RES126-2] Add [RES126] fifth-card 10 (0) to P=5 for (5+0) mod 10 = 5.
  • [RES126-3] Run [RES126] BANKER_TABLEAU[2][0]=true to settle 5 vs 4 (P).
SETTLEMENT & SCOREBOARD · RES126

Showdown Settlement & Scoreboard Logging for RES126 (5 vs 4)

[RES126-C10] Comparing [RES126] final totals (6c), Player 5 vs Banker 4 awards [RES126] to Player (P), which pays 1:1 even money on [RES126] Player boxes with zero commission deducted and appends P to PPBBPPBBBP.

[RES126-D11] Side-bet & road check for [RES126] (P5+0->5 vs B2->4, 6c): [RES126] leaves [RES126] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=4) and leaves [RES126] Panda 8 inactive (needs winning 3c Player 8, got P=5); on [RES126] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES126, Banker 2 evaluates Player's three-card total (5) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[2][0] = true.
MythBecause RES126 resolves as P, the next derived-road mark must match P'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