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FINAL TOTAL RESOLUTION [RES196] · 6-CARD PROOF

Player 3 + 2 (2) vs. Banker 3 (Draws 3 (3)): 6-Card Resolution #196

In walkthrough RES196, Player opens with 9+4 (3) and draws fifth-card 2 (2) for a modulo-10 total of 5, while Banker opens with 10+3 (3) and draws sixth-card 3 (3) for 6 (6-card B outcome).

RES196 Player Path
P:3->5
RES196 Banker Path
B:3->6
RES196 Deal Length
6 Cards
RES196 Showdown
B (5v6)
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 RES196 (P3+2->5 vs B3->6).

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

RES196 Four-Card Opening Deal
Player 9+4=3 vs Banker 10+3=3

Verified non-natural start via handTotal([9,4])=3 and handTotal([10,3])=3.

RES196 Fifth-Card Modulo Proof
(3 + 2) mod 10 = 5 via 2

Player draws fifth-card 2 (value 2), transforming two-card 3 into three-card 5.

RES196 Banker Tableau Lookup
BANKER_TABLEAU[3][2] = true

Banker 3 draws sixth-card 3 (3) so (3+3) mod 10 = 6.

RES196 Card Count & Winner
6 Cards -> B (5 vs 6)

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

RES196 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 · RES196

Step-by-Step Card Arithmetic for RES196: P(9+4)+2 vs B(10+3)

Step-by-step proof [RES196] pairs Player 9+4 (3) with Banker 10+3 (3); because 3 sits in the 0..5 draw zone, fifth-card 2 (2) lands and 3+2=5 resolves the unit-digit sum to 5.

[RES196-B] Under 3-point single-shade row (0..7, 9) for [RES196], exposed 2 (2) obligates Banker 3 to draw 3 (3), converting 3+3=6 into 6.

Complete 6-Card Resolution Trace for RES196
RES196 StageRES196 CardsRES196 Modulo MathRES196 Status
[RES196:Init]P(9+4)=3 vs B(10+3)=3playerShouldDraw(3)=true4-Card Deal
[RES196:5th]Player +2 (2)(3+2) mod 10 = 55th Card Sideways
[RES196:6th]Banker +3 (3)(3+3) mod 10 = 66-Card Final
[RES196:Settle]P=5 vs B=6Winner: BBig Road +B
  • [RES196-1] Confirm [RES196] opening P=3 (9+4) and B=3 (10+3) lack Natural 8/9.
  • [RES196-2] Add [RES196] fifth-card 2 (2) to P=3 for (3+2) mod 10 = 5.
  • [RES196-3] Run [RES196] BANKER_TABLEAU[3][2]=true to settle 5 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES196

Showdown Settlement & Scoreboard Logging for RES196 (5 vs 6)

[RES196-C8] Comparing [RES196] final totals (6c), Player 5 vs Banker 6 awards [RES196] to Banker (B), which pays 0.95:1 on 5%-commission [RES196] layouts (or 0.5:1 on 6 at No-Commission [RES196] tables) and appends B to PPBBBPPBPP.

[RES196-D4] Side-bet & road check for [RES196] (P3+2->5 vs B3->6, 6c): [RES196] leaves [RES196] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=6) and leaves [RES196] Panda 8 inactive (needs winning 3c Player 8, got P=5); on [RES196] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES196, Banker 3 evaluates Player's three-card total (5) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[3][2] = true.
MythBecause RES196 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