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FINAL TOTAL RESOLUTION [RES140] · 6-CARD PROOF

Player 1 + 3 (3) vs. Banker 2 (Draws 3 (3)): 6-Card Resolution #140

In walkthrough RES140, Player opens with 7+4 (1) and draws fifth-card 3 (3) for a modulo-10 total of 4, while Banker opens with 8+4 (2) and draws sixth-card 3 (3) for 5 (6-card B outcome).

RES140 Player Path
P:1->4
RES140 Banker Path
B:2->5
RES140 Deal Length
6 Cards
RES140 Showdown
B (4v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES140 (P1+3->4 vs B2->5).

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

  1. Column 4 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 stopped at Row 2, one row above → blue (≠).

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

RES140 Four-Card Opening Deal
Player 7+4=1 vs Banker 8+4=2

Verified non-natural start via handTotal([7,4])=1 and handTotal([8,4])=2.

RES140 Fifth-Card Modulo Proof
(1 + 3) mod 10 = 4 via 3

Player draws fifth-card 3 (value 3), transforming two-card 1 into three-card 4.

RES140 Banker Tableau Lookup
BANKER_TABLEAU[2][3] = true

Banker 2 draws sixth-card 3 (3) so (2+3) mod 10 = 5.

RES140 Card Count & Winner
6 Cards -> B (4 vs 5)

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

RES140 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 · RES140

Step-by-Step Card Arithmetic for RES140: P(7+4)+3 vs B(8+4)

Step-by-step proof [RES140] pairs Player 7+4 (1) with Banker 8+4 (2); because 1 sits in the 0..5 draw zone, fifth-card 3 (3) lands and 1+3=4 resolves the unit-digit sum to 4.

[RES140-B] Because BANKER_TABLEAU[2][3]=true (2-point mandatory draw band) in [RES140], Banker 2 takes sixth-card 3 (3) and 2+3=5 settles at 5.

Complete 6-Card Resolution Trace for RES140
RES140 StageRES140 CardsRES140 Modulo MathRES140 Status
[RES140:Init]P(7+4)=1 vs B(8+4)=2playerShouldDraw(1)=true4-Card Deal
[RES140:5th]Player +3 (3)(1+3) mod 10 = 45th Card Sideways
[RES140:6th]Banker +3 (3)(2+3) mod 10 = 56-Card Final
[RES140:Settle]P=4 vs B=5Winner: BBig Road +B
  • [RES140-1] Confirm [RES140] opening P=1 (7+4) and B=2 (8+4) lack Natural 8/9.
  • [RES140-2] Add [RES140] fifth-card 3 (3) to P=1 for (1+3) mod 10 = 4.
  • [RES140-3] Run [RES140] BANKER_TABLEAU[2][3]=true to settle 4 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES140

Showdown Settlement & Scoreboard Logging for RES140 (4 vs 5)

[RES140-C3] Comparing [RES140] final totals (6c), Player 4 vs Banker 5 awards [RES140] to Banker (B), which pays 0.95:1 on 5%-commission [RES140] layouts (or 0.5:1 on 6 at No-Commission [RES140] tables) and appends B to PPBBPBBBPP.

[RES140-D7] Side-bet & road check for [RES140] (P1+3->4 vs B2->5, 6c): [RES140] leaves [RES140] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=5) and leaves [RES140] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES140] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES140, Banker 2 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[2][3] = true.
MythBecause RES140 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
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