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FINAL TOTAL RESOLUTION [RES400] · 6-CARD PROOF

Player 3 + 6 (6) vs. Banker 6 (Draws 2 (2)): 6-Card Resolution #400

In walkthrough RES400, Player opens with 9+4 (3) and draws fifth-card 6 (6) for a modulo-10 total of 9, while Banker opens with 2+4 (6) and draws sixth-card 2 (2) for 8 (6-card P outcome).

RES400 Player Path
P:3->9
RES400 Banker Path
B:6->8
RES400 Deal Length
6 Cards
RES400 Showdown
P (9v8)
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 RES400 (P3+6->9 vs B6->8).

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

RES400 Four-Card Opening Deal
Player 9+4=3 vs Banker 2+4=6

Verified non-natural start via handTotal([9,4])=3 and handTotal([2,4])=6.

RES400 Fifth-Card Modulo Proof
(3 + 6) mod 10 = 9 via 6

Player draws fifth-card 6 (value 6), transforming two-card 3 into three-card 9.

RES400 Banker Tableau Lookup
BANKER_TABLEAU[6][6] = true

Banker 6 draws sixth-card 2 (2) so (6+2) mod 10 = 8.

RES400 Card Count & Winner
6 Cards -> P (9 vs 8)

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

RES400 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 · RES400

Step-by-Step Card Arithmetic for RES400: P(9+4)+6 vs B(2+4)

Arithmetic trace [RES400] starts from four-card deal 9+4=3 vs 2+4=6; Player's compulsory draw of 6 (pip value 6) produces raw 9, which wraps modulo-10 to 9.

[RES400-B] Because BANKER_TABLEAU[6][6]=true (6-point two-value trigger (6..7)) in [RES400], Banker 6 takes sixth-card 2 (2) and 6+2=8 settles at 8.

Complete 6-Card Resolution Trace for RES400
RES400 StageRES400 CardsRES400 Modulo MathRES400 Status
[RES400:Init]P(9+4)=3 vs B(2+4)=6playerShouldDraw(3)=true4-Card Deal
[RES400:5th]Player +6 (6)(3+6) mod 10 = 95th Card Sideways
[RES400:6th]Banker +2 (2)(6+2) mod 10 = 86-Card Final
[RES400:Settle]P=9 vs B=8Winner: PBig Road +P
  • [RES400-1] Confirm [RES400] opening P=3 (9+4) and B=6 (2+4) lack Natural 8/9.
  • [RES400-2] Add [RES400] fifth-card 6 (6) to P=3 for (3+6) mod 10 = 9.
  • [RES400-3] Run [RES400] BANKER_TABLEAU[6][6]=true to settle 9 vs 8 (P).
SETTLEMENT & SCOREBOARD · RES400

Showdown Settlement & Scoreboard Logging for RES400 (9 vs 8)

[RES400-C5] Comparing [RES400] final totals (6c), Player 9 vs Banker 8 awards [RES400] to Player (P), which pays 1:1 even money on [RES400] Player boxes with zero commission deducted and appends P to PPBBPBPPBP.

[RES400-D7] Side-bet & road check for [RES400] (P3+6->9 vs B6->8, 6c): [RES400] leaves [RES400] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=8) and leaves [RES400] Panda 8 inactive (needs winning 3c Player 8, got P=9); on [RES400] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES400, Banker 6 evaluates Player's three-card total (9) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[6][6] = true.
MythBecause RES400 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