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FINAL TOTAL RESOLUTION [RES052] · 6-CARD PROOF

Player 3 + 8 (8) vs. Banker 0 (Draws 4 (4)): 6-Card Resolution #52

In walkthrough RES052, Player opens with 9+4 (3) and draws fifth-card 8 (8) for a modulo-10 total of 1, while Banker opens with 6+4 (0) and draws sixth-card 4 (4) for 4 (6-card B outcome).

RES052 Player Path
P:3->1
RES052 Banker Path
B:0->4
RES052 Deal Length
6 Cards
RES052 Showdown
B (1v4)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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Big Road P P B B B P P B P P B B P B B B P P P P
Big Eye Boy = ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ = ≠ = = ≠
Small Road = = ≠ = = ≠ ≠ ≠ = ≠ ≠ ≠ = =
Cockroach Pig ≠ = ≠ = = = = ≠ ≠ = ≠ =

Scoreboard sequence paired with 6-card resolution RES052 (P3+8->1 vs B0->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

Column 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back.
  2. Column 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

Column 4 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠).

  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 3 beads. Different depth → blue (≠).

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

RES052 Four-Card Opening Deal
Player 9+4=3 vs Banker 6+4=0

Verified non-natural start via handTotal([9,4])=3 and handTotal([6,4])=0.

RES052 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.

RES052 Banker Tableau Lookup
BANKER_TABLEAU[0][8] = true

Banker 0 draws sixth-card 4 (4) so (0+4) mod 10 = 4.

RES052 Card Count & Winner
6 Cards -> B (1 vs 4)

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

RES052 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 · RES052

Step-by-Step Card Arithmetic for RES052: P(9+4)+8 vs B(6+4)

In coup [RES052], initial cards deal 9+4=3 to Player and 6+4=0 to Banker; lacking a four-card natural, Player takes fifth-card 8 (8) where raw sum 11 projects onto the 0..9 ring to 1.

[RES052-B] Acting on 8=8 inside [RES052], Banker 0 follows 0-point unconditional draw tier and pulls 4 (4) for 0+4=4 -> 4.

Complete 6-Card Resolution Trace for RES052
RES052 StageRES052 CardsRES052 Modulo MathRES052 Status
[RES052:Init]P(9+4)=3 vs B(6+4)=0playerShouldDraw(3)=true4-Card Deal
[RES052:5th]Player +8 (8)(3+8) mod 10 = 15th Card Sideways
[RES052:6th]Banker +4 (4)(0+4) mod 10 = 46-Card Final
[RES052:Settle]P=1 vs B=4Winner: BBig Road +B
  • [RES052-1] Confirm [RES052] opening P=3 (9+4) and B=0 (6+4) lack Natural 8/9.
  • [RES052-2] Add [RES052] fifth-card 8 (8) to P=3 for (3+8) mod 10 = 1.
  • [RES052-3] Run [RES052] BANKER_TABLEAU[0][8]=true to settle 1 vs 4 (B).
SETTLEMENT & SCOREBOARD · RES052

Showdown Settlement & Scoreboard Logging for RES052 (1 vs 4)

[RES052-C3] Comparing [RES052] final totals (6c), Player 1 vs Banker 4 awards [RES052] to Banker (B), which pays 0.95:1 on 5%-commission [RES052] layouts (or 0.5:1 on 6 at No-Commission [RES052] tables) and appends B to PPBBBPPBPP.

[RES052-D8] Side-bet & road check for [RES052] (P3+8->1 vs B0->4, 6c): [RES052] leaves [RES052] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=4) and leaves [RES052] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES052] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES052, Banker 0 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 8 (value 8) via BANKER_TABLEAU[0][8] = true.
MythBecause RES052 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