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FINAL TOTAL RESOLUTION [RES156] · 6-CARD PROOF

Player 5 + 5 (5) vs. Banker 2 (Draws 7 (7)): 6-Card Resolution #156

In walkthrough RES156, Player opens with A+4 (5) and draws fifth-card 5 (5) for a modulo-10 total of 0, while Banker opens with 8+4 (2) and draws sixth-card 7 (7) for 9 (6-card B outcome).

RES156 Player Path
P:5->0
RES156 Banker Path
B:2->9
RES156 Deal Length
6 Cards
RES156 Showdown
B (0v9)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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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 RES156 (P5+5->0 vs B2->9).

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

RES156 Four-Card Opening Deal
Player A+4=5 vs Banker 8+4=2

Verified non-natural start via handTotal([A,4])=5 and handTotal([8,4])=2.

RES156 Fifth-Card Modulo Proof
(5 + 5) mod 10 = 0 via 5

Player draws fifth-card 5 (value 5), transforming two-card 5 into three-card 0.

RES156 Banker Tableau Lookup
BANKER_TABLEAU[2][5] = true

Banker 2 draws sixth-card 7 (7) so (2+7) mod 10 = 9.

RES156 Card Count & Winner
6 Cards -> B (0 vs 9)

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

RES156 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 · RES156

Step-by-Step Card Arithmetic for RES156: P(A+4)+5 vs B(8+4)

Engine check [RES156] confirms `playerShouldDraw(5) === true` on A+4 vs Banker 8+4 (2); adding fifth-card 5 (5) gives 10, which evaluates modulo ten to 0.

[RES156-B] Acting on 5=5 inside [RES156], Banker 2 follows 2-point mandatory draw band and pulls 7 (7) for 2+7=9 -> 9.

Complete 6-Card Resolution Trace for RES156
RES156 StageRES156 CardsRES156 Modulo MathRES156 Status
[RES156:Init]P(A+4)=5 vs B(8+4)=2playerShouldDraw(5)=true4-Card Deal
[RES156:5th]Player +5 (5)(5+5) mod 10 = 05th Card Sideways
[RES156:6th]Banker +7 (7)(2+7) mod 10 = 96-Card Final
[RES156:Settle]P=0 vs B=9Winner: BBig Road +B
  • [RES156-1] Confirm [RES156] opening P=5 (A+4) and B=2 (8+4) lack Natural 8/9.
  • [RES156-2] Add [RES156] fifth-card 5 (5) to P=5 for (5+5) mod 10 = 0.
  • [RES156-3] Run [RES156] BANKER_TABLEAU[2][5]=true to settle 0 vs 9 (B).
SETTLEMENT & SCOREBOARD · RES156

Showdown Settlement & Scoreboard Logging for RES156 (0 vs 9)

[RES156-C6] Comparing [RES156] final totals (6c), Player 0 vs Banker 9 awards [RES156] to Banker (B), which pays 0.95:1 on 5%-commission [RES156] layouts (or 0.5:1 on 6 at No-Commission [RES156] tables) and appends B to PPBBPBBBPP.

[RES156-D8] Side-bet & road check for [RES156] (P5+5->0 vs B2->9, 6c): [RES156] leaves [RES156] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=9) and leaves [RES156] Panda 8 inactive (needs winning 3c Player 8, got P=0); on [RES156] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES156, Banker 2 evaluates Player's three-card total (0) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 5 (value 5) via BANKER_TABLEAU[2][5] = true.
MythBecause RES156 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