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FINAL TOTAL RESOLUTION [RES162] · 6-CARD PROOF

Player 5 + 6 (6) vs. Banker 2 (Draws 6 (6)): 6-Card Resolution #162

In walkthrough RES162, Player opens with A+4 (5) and draws fifth-card 6 (6) for a modulo-10 total of 1, while Banker opens with 8+4 (2) and draws sixth-card 6 (6) for 8 (6-card B outcome).

RES162 Player Path
P:5->1
RES162 Banker Path
B:2->8
RES162 Deal Length
6 Cards
RES162 Showdown
B (1v8)
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 B P B B B P P P B P P
Big Eye Boy = = ≠ = ≠ ≠ = = ≠ ≠ = ≠ = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ =
Cockroach Pig ≠ = = ≠ ≠ = = ≠ ≠ = ≠ ≠ = =

Scoreboard sequence paired with 6-card resolution RES162 (P5+6->1 vs B2->8).

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

RES162 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.

RES162 Fifth-Card Modulo Proof
(5 + 6) mod 10 = 1 via 6

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

RES162 Banker Tableau Lookup
BANKER_TABLEAU[2][6] = true

Banker 2 draws sixth-card 6 (6) so (2+6) mod 10 = 8.

RES162 Card Count & Winner
6 Cards -> B (1 vs 8)

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

RES162 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 · RES162

Step-by-Step Card Arithmetic for RES162: P(A+4)+6 vs B(8+4)

Arithmetic trace [RES162] starts from four-card deal A+4=5 vs 8+4=2; Player's compulsory draw of 6 (pip value 6) produces raw 11, which wraps modulo-10 to 1.

[RES162-B] Six-card branch [RES162] activates as 6 (6) hits Banker 2's 2-point mandatory draw band; drawing 6 (6) sends 2+6=8 to 8.

Complete 6-Card Resolution Trace for RES162
RES162 StageRES162 CardsRES162 Modulo MathRES162 Status
[RES162:Init]P(A+4)=5 vs B(8+4)=2playerShouldDraw(5)=true4-Card Deal
[RES162:5th]Player +6 (6)(5+6) mod 10 = 15th Card Sideways
[RES162:6th]Banker +6 (6)(2+6) mod 10 = 86-Card Final
[RES162:Settle]P=1 vs B=8Winner: BBig Road +B
  • [RES162-1] Confirm [RES162] opening P=5 (A+4) and B=2 (8+4) lack Natural 8/9.
  • [RES162-2] Add [RES162] fifth-card 6 (6) to P=5 for (5+6) mod 10 = 1.
  • [RES162-3] Run [RES162] BANKER_TABLEAU[2][6]=true to settle 1 vs 8 (B).
SETTLEMENT & SCOREBOARD · RES162

Showdown Settlement & Scoreboard Logging for RES162 (1 vs 8)

[RES162-C3] Comparing [RES162] final totals (6c), Player 1 vs Banker 8 awards [RES162] to Banker (B), which pays 0.95:1 on 5%-commission [RES162] layouts (or 0.5:1 on 6 at No-Commission [RES162] tables) and appends B to PPBBPBPPBB.

[RES162-D10] Side-bet & road check for [RES162] (P5+6->1 vs B2->8, 6c): [RES162] leaves [RES162] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=8) and leaves [RES162] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES162] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES162, Banker 2 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[2][6] = true.
MythBecause RES162 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

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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
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android