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FINAL TOTAL RESOLUTION [RES197] · 6-CARD PROOF

Player 4 + 2 (2) vs. Banker 3 (Draws 7 (7)): 6-Card Resolution #197

In walkthrough RES197, Player opens with 2+2 (4) and draws fifth-card 2 (2) for a modulo-10 total of 6, while Banker opens with 9+4 (3) and draws sixth-card 7 (7) for 0 (6-card P outcome).

RES197 Player Path
P:4->6
RES197 Banker Path
B:3->0
RES197 Deal Length
6 Cards
RES197 Showdown
P (6v0)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P B B P B P B B P P P B B B B P P
Big Eye Boy = = = = ≠ = = ≠ ≠ = ≠ ≠ = = ≠ ≠ =
Small Road = = ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = = ≠ =

Scoreboard sequence paired with 6-card resolution RES197 (P4+2->6 vs B3->0).

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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

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.

Small Road Mark #3

Column 4 has 1 bead. Column 2 has 2 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 2 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 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

RES197 Four-Card Opening Deal
Player 2+2=4 vs Banker 9+4=3

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

RES197 Fifth-Card Modulo Proof
(4 + 2) mod 10 = 6 via 2

Player draws fifth-card 2 (value 2), transforming two-card 4 into three-card 6.

RES197 Banker Tableau Lookup
BANKER_TABLEAU[3][2] = true

Banker 3 draws sixth-card 7 (7) so (3+7) mod 10 = 0.

RES197 Card Count & Winner
6 Cards -> P (6 vs 0)

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

RES197 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 · RES197

Step-by-Step Card Arithmetic for RES197: P(2+2)+2 vs B(9+4)

[RES197] Walkthrough #197 begins with Player holding 2+2 (4) against Banker 9+4 (3); since neither side holds 8 or 9, Player draws fifth-card 2 (2) so 4+2=6 applies base-10 modular addition to 6.

[RES197-B] Under 3-point single-shade row (0..7, 9) for [RES197], exposed 2 (2) obligates Banker 3 to draw 7 (7), converting 3+7=10 into 0.

Complete 6-Card Resolution Trace for RES197
RES197 StageRES197 CardsRES197 Modulo MathRES197 Status
[RES197:Init]P(2+2)=4 vs B(9+4)=3playerShouldDraw(4)=true4-Card Deal
[RES197:5th]Player +2 (2)(4+2) mod 10 = 65th Card Sideways
[RES197:6th]Banker +7 (7)(3+7) mod 10 = 06-Card Final
[RES197:Settle]P=6 vs B=0Winner: PBig Road +P
  • [RES197-1] Confirm [RES197] opening P=4 (2+2) and B=3 (9+4) lack Natural 8/9.
  • [RES197-2] Add [RES197] fifth-card 2 (2) to P=4 for (4+2) mod 10 = 6.
  • [RES197-3] Run [RES197] BANKER_TABLEAU[3][2]=true to settle 6 vs 0 (P).
SETTLEMENT & SCOREBOARD · RES197

Showdown Settlement & Scoreboard Logging for RES197 (6 vs 0)

[RES197-C2] Comparing [RES197] final totals (6c), Player 6 vs Banker 0 awards [RES197] to Player (P), which pays 1:1 even money on [RES197] Player boxes with zero commission deducted and appends P to BBPPBBPBPB.

[RES197-D0] Side-bet & road check for [RES197] (P4+2->6 vs B3->0, 6c): [RES197] leaves [RES197] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=0) and leaves [RES197] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES197] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES197, Banker 3 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[3][2] = true.
MythBecause RES197 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

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  • 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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