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FINAL TOTAL RESOLUTION [RES192] · 6-CARD PROOF

Player 5 + A (1) vs. Banker 3 (Draws 2 (2)): 6-Card Resolution #192

In walkthrough RES192, Player opens with A+4 (5) and draws fifth-card A (1) for a modulo-10 total of 6, while Banker opens with 10+3 (3) and draws sixth-card 2 (2) for 5 (6-card P outcome).

RES192 Player Path
P:5->6
RES192 Banker Path
B:3->5
RES192 Deal Length
6 Cards
RES192 Showdown
P (6v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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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 RES192 (P5+1->6 vs B3->5).

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

RES192 Four-Card Opening Deal
Player A+4=5 vs Banker 10+3=3

Verified non-natural start via handTotal([A,4])=5 and handTotal([10,3])=3.

RES192 Fifth-Card Modulo Proof
(5 + 1) mod 10 = 6 via A

Player draws fifth-card A (value 1), transforming two-card 5 into three-card 6.

RES192 Banker Tableau Lookup
BANKER_TABLEAU[3][1] = true

Banker 3 draws sixth-card 2 (2) so (3+2) mod 10 = 5.

RES192 Card Count & Winner
6 Cards -> P (6 vs 5)

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

RES192 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 · RES192

Step-by-Step Card Arithmetic for RES192: P(A+4)+A vs B(10+3)

In coup [RES192], initial cards deal A+4=5 to Player and 10+3=3 to Banker; lacking a four-card natural, Player takes fifth-card A (1) where raw sum 6 projects onto the 0..9 ring to 6.

[RES192-B] Because BANKER_TABLEAU[3][1]=true (3-point single-shade row (0..7, 9)) in [RES192], Banker 3 takes sixth-card 2 (2) and 3+2=5 settles at 5.

Complete 6-Card Resolution Trace for RES192
RES192 StageRES192 CardsRES192 Modulo MathRES192 Status
[RES192:Init]P(A+4)=5 vs B(10+3)=3playerShouldDraw(5)=true4-Card Deal
[RES192:5th]Player +A (1)(5+1) mod 10 = 65th Card Sideways
[RES192:6th]Banker +2 (2)(3+2) mod 10 = 56-Card Final
[RES192:Settle]P=6 vs B=5Winner: PBig Road +P
  • [RES192-1] Confirm [RES192] opening P=5 (A+4) and B=3 (10+3) lack Natural 8/9.
  • [RES192-2] Add [RES192] fifth-card A (1) to P=5 for (5+1) mod 10 = 6.
  • [RES192-3] Run [RES192] BANKER_TABLEAU[3][1]=true to settle 6 vs 5 (P).
SETTLEMENT & SCOREBOARD · RES192

Showdown Settlement & Scoreboard Logging for RES192 (6 vs 5)

[RES192-C10] Comparing [RES192] final totals (6c), Player 6 vs Banker 5 awards [RES192] to Player (P), which pays 1:1 even money on [RES192] Player boxes with zero commission deducted and appends P to PPBBPBPPBP.

[RES192-D7] Side-bet & road check for [RES192] (P5+1->6 vs B3->5, 6c): [RES192] leaves [RES192] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=5) and leaves [RES192] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES192] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES192, Banker 3 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[3][1] = true.
MythBecause RES192 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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