Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Resolution #112
FINAL TOTAL RESOLUTION [RES112] · 6-CARD PROOF

Player 3 + 8 (8) vs. Banker 1 (Draws 5 (5)): 6-Card Resolution #112

In walkthrough RES112, Player opens with 9+4 (3) and draws fifth-card 8 (8) for a modulo-10 total of 1, while Banker opens with 10+A (1) and draws sixth-card 5 (5) for 6 (6-card B outcome).

RES112 Player Path
P:3->1
RES112 Banker Path
B:1->6
RES112 Deal Length
6 Cards
RES112 Showdown
B (1v6)
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 RES112 (P3+8->1 vs B1->6).

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

RES112 Four-Card Opening Deal
Player 9+4=3 vs Banker 10+A=1

Verified non-natural start via handTotal([9,4])=3 and handTotal([10,A])=1.

RES112 Fifth-Card Modulo Proof
(3 + 8) mod 10 = 1 via 8

Player draws fifth-card 8 (value 8), transforming two-card 3 into three-card 1.

RES112 Banker Tableau Lookup
BANKER_TABLEAU[1][8] = true

Banker 1 draws sixth-card 5 (5) so (1+5) mod 10 = 6.

RES112 Card Count & Winner
6 Cards -> B (1 vs 6)

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

RES112 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 · RES112

Step-by-Step Card Arithmetic for RES112: P(9+4)+8 vs B(10+A)

Step-by-step proof [RES112] pairs Player 9+4 (3) with Banker 10+A (1); because 3 sits in the 0..5 draw zone, fifth-card 8 (8) lands and 3+8=11 resolves the unit-digit sum to 1.

[RES112-B] Next in [RES112], Banker consults 1-point automatic draw row: facing fifth-card 8 (8), Banker 1 draws 5 (5) so 1+5=6 -> 6.

Complete 6-Card Resolution Trace for RES112
RES112 StageRES112 CardsRES112 Modulo MathRES112 Status
[RES112:Init]P(9+4)=3 vs B(10+A)=1playerShouldDraw(3)=true4-Card Deal
[RES112:5th]Player +8 (8)(3+8) mod 10 = 15th Card Sideways
[RES112:6th]Banker +5 (5)(1+5) mod 10 = 66-Card Final
[RES112:Settle]P=1 vs B=6Winner: BBig Road +B
  • [RES112-1] Confirm [RES112] opening P=3 (9+4) and B=1 (10+A) lack Natural 8/9.
  • [RES112-2] Add [RES112] fifth-card 8 (8) to P=3 for (3+8) mod 10 = 1.
  • [RES112-3] Run [RES112] BANKER_TABLEAU[1][8]=true to settle 1 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES112

Showdown Settlement & Scoreboard Logging for RES112 (1 vs 6)

[RES112-C6] Comparing [RES112] final totals (6c), Player 1 vs Banker 6 awards [RES112] to Banker (B), which pays 0.95:1 on 5%-commission [RES112] layouts (or 0.5:1 on 6 at No-Commission [RES112] tables) and appends B to PPBBPBPPBP.

[RES112-D2] Side-bet & road check for [RES112] (P3+8->1 vs B1->6, 6c): [RES112] leaves [RES112] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=6) and leaves [RES112] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES112] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES112, Banker 1 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 8 (value 8) via BANKER_TABLEAU[1][8] = true.
MythBecause RES112 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