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FINAL TOTAL RESOLUTION [RES348] · 6-CARD PROOF

Player 5 + 7 (7) vs. Banker 5 (Draws 8 (8)): 6-Card Resolution #348

In walkthrough RES348, Player opens with A+4 (5) and draws fifth-card 7 (7) for a modulo-10 total of 2, while Banker opens with 2+3 (5) and draws sixth-card 8 (8) for 3 (6-card B outcome).

RES348 Player Path
P:5->2
RES348 Banker Path
B:5->3
RES348 Deal Length
6 Cards
RES348 Showdown
B (2v3)
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 RES348 (P5+7->2 vs B5->3).

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

RES348 Four-Card Opening Deal
Player A+4=5 vs Banker 2+3=5

Verified non-natural start via handTotal([A,4])=5 and handTotal([2,3])=5.

RES348 Fifth-Card Modulo Proof
(5 + 7) mod 10 = 2 via 7

Player draws fifth-card 7 (value 7), transforming two-card 5 into three-card 2.

RES348 Banker Tableau Lookup
BANKER_TABLEAU[5][7] = true

Banker 5 draws sixth-card 8 (8) so (5+8) mod 10 = 3.

RES348 Card Count & Winner
6 Cards -> B (2 vs 3)

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

RES348 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 · RES348

Step-by-Step Card Arithmetic for RES348: P(A+4)+7 vs B(2+3)

Floor verification [RES348] inspects Player A+4 (5) versus Banker 2+3 (5); once fifth-card 7 (7) is exposed sideways, 5+7=12 drops the tens digit to three-card 2.

[RES348-B] Because BANKER_TABLEAU[5][7]=true (5-point four-value window (4..7)) in [RES348], Banker 5 takes sixth-card 8 (8) and 5+8=13 settles at 3.

Complete 6-Card Resolution Trace for RES348
RES348 StageRES348 CardsRES348 Modulo MathRES348 Status
[RES348:Init]P(A+4)=5 vs B(2+3)=5playerShouldDraw(5)=true4-Card Deal
[RES348:5th]Player +7 (7)(5+7) mod 10 = 25th Card Sideways
[RES348:6th]Banker +8 (8)(5+8) mod 10 = 36-Card Final
[RES348:Settle]P=2 vs B=3Winner: BBig Road +B
  • [RES348-1] Confirm [RES348] opening P=5 (A+4) and B=5 (2+3) lack Natural 8/9.
  • [RES348-2] Add [RES348] fifth-card 7 (7) to P=5 for (5+7) mod 10 = 2.
  • [RES348-3] Run [RES348] BANKER_TABLEAU[5][7]=true to settle 2 vs 3 (B).
SETTLEMENT & SCOREBOARD · RES348

Showdown Settlement & Scoreboard Logging for RES348 (2 vs 3)

[RES348-C9] Comparing [RES348] final totals (6c), Player 2 vs Banker 3 awards [RES348] to Banker (B), which pays 0.95:1 on 5%-commission [RES348] layouts (or 0.5:1 on 6 at No-Commission [RES348] tables) and appends B to PPBBPBBBPP.

[RES348-D7] Side-bet & road check for [RES348] (P5+7->2 vs B5->3, 6c): [RES348] leaves [RES348] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=3) and leaves [RES348] Panda 8 inactive (needs winning 3c Player 8, got P=2); on [RES348] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES348, Banker 5 evaluates Player's three-card total (2) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 7 (value 7) via BANKER_TABLEAU[5][7] = true.
MythBecause RES348 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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