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FINAL TOTAL RESOLUTION [RES282] · 6-CARD PROOF

Player 5 + 6 (6) vs. Banker 4 (Draws 8 (8)): 6-Card Resolution #282

In walkthrough RES282, Player opens with A+4 (5) and draws fifth-card 6 (6) for a modulo-10 total of 1, while Banker opens with A+3 (4) and draws sixth-card 8 (8) for 2 (6-card B outcome).

RES282 Player Path
P:5->1
RES282 Banker Path
B:4->2
RES282 Deal Length
6 Cards
RES282 Showdown
B (1v2)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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Big Road P P B B B P P P P B B P B B B P P P B P
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ = = = ≠
Small Road = ≠ = ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠
Cockroach Pig = = ≠ = = ≠ = ≠ ≠ =

Scoreboard sequence paired with 6-card resolution RES282 (P5+6->1 vs B4->2).

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

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

  1. Column 3 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 1 bead. 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 1 bead. 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

RES282 Four-Card Opening Deal
Player A+4=5 vs Banker A+3=4

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

RES282 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.

RES282 Banker Tableau Lookup
BANKER_TABLEAU[4][6] = true

Banker 4 draws sixth-card 8 (8) so (4+8) mod 10 = 2.

RES282 Card Count & Winner
6 Cards -> B (1 vs 2)

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

RES282 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 · RES282

Step-by-Step Card Arithmetic for RES282: P(A+4)+6 vs B(A+3)

Engine check [RES282] confirms `playerShouldDraw(5) === true` on A+4 vs Banker A+3 (4); adding fifth-card 6 (6) gives 11, which evaluates modulo ten to 1.

[RES282-B] Next in [RES282], Banker consults 4-point six-value gate (2..7): facing fifth-card 6 (6), Banker 4 draws 8 (8) so 4+8=12 -> 2.

Complete 6-Card Resolution Trace for RES282
RES282 StageRES282 CardsRES282 Modulo MathRES282 Status
[RES282:Init]P(A+4)=5 vs B(A+3)=4playerShouldDraw(5)=true4-Card Deal
[RES282:5th]Player +6 (6)(5+6) mod 10 = 15th Card Sideways
[RES282:6th]Banker +8 (8)(4+8) mod 10 = 26-Card Final
[RES282:Settle]P=1 vs B=2Winner: BBig Road +B
  • [RES282-1] Confirm [RES282] opening P=5 (A+4) and B=4 (A+3) lack Natural 8/9.
  • [RES282-2] Add [RES282] fifth-card 6 (6) to P=5 for (5+6) mod 10 = 1.
  • [RES282-3] Run [RES282] BANKER_TABLEAU[4][6]=true to settle 1 vs 2 (B).
SETTLEMENT & SCOREBOARD · RES282

Showdown Settlement & Scoreboard Logging for RES282 (1 vs 2)

[RES282-C9] Comparing [RES282] final totals (6c), Player 1 vs Banker 2 awards [RES282] to Banker (B), which pays 0.95:1 on 5%-commission [RES282] layouts (or 0.5:1 on 6 at No-Commission [RES282] tables) and appends B to PPBBBPPPPB.

[RES282-D11] Side-bet & road check for [RES282] (P5+6->1 vs B4->2, 6c): [RES282] leaves [RES282] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=2) and leaves [RES282] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES282] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES282, Banker 4 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[4][6] = true.
MythBecause RES282 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
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