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FINAL TOTAL RESOLUTION [RES362] · 5-CARD PROOF

Player 1 + 10 (0) vs. Banker 6 (Stands at 6): 5-Card Resolution #362

In walkthrough RES362, Player opens with 7+4 (1) and draws fifth-card 10 (0) for a modulo-10 total of 1, while Banker opens with 2+4 (6) and stands pat at 6 (5-card B outcome).

RES362 Player Path
P:1->1
RES362 Banker Path
B:6->6
RES362 Deal Length
5 Cards
RES362 Showdown
B (1v6)
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 5-card resolution RES362 (P1+0->1 vs B6->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

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

RES362 Four-Card Opening Deal
Player 7+4=1 vs Banker 2+4=6

Verified non-natural start via handTotal([7,4])=1 and handTotal([2,4])=6.

RES362 Fifth-Card Modulo Proof
(1 + 0) mod 10 = 1 via 10

Player draws fifth-card 10 (value 0), transforming two-card 1 into three-card 1.

RES362 Banker Tableau Lookup
BANKER_TABLEAU[6][0] = false

Banker 6 stands pat at 6 without pulling sixth-card 10 (0).

RES362 Card Count & Winner
5 Cards -> B (1 vs 6)

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

RES362 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 · RES362

Step-by-Step Card Arithmetic for RES362: P(7+4)+10 vs B(2+4)

Floor verification [RES362] inspects Player 7+4 (1) versus Banker 2+4 (6); once fifth-card 10 (0) is exposed sideways, 1+0=1 drops the tens digit to three-card 1.

[RES362-B] Because BANKER_TABLEAU[6][0]=false (6-point two-value trigger (6..7)) in [RES362], Banker 6 locks 6 at 5c (leaving 10=0 -> 6 unpulled).

Complete 5-Card Resolution Trace for RES362
RES362 StageRES362 CardsRES362 Modulo MathRES362 Status
[RES362:Init]P(7+4)=1 vs B(2+4)=6playerShouldDraw(1)=true4-Card Deal
[RES362:5th]Player +10 (0)(1+0) mod 10 = 15th Card Sideways
[RES362:6th]Banker Stands (skip 10=0)Locked at 65-Card Final
[RES362:Settle]P=1 vs B=6Winner: BBig Road +B
  • [RES362-1] Confirm [RES362] opening P=1 (7+4) and B=6 (2+4) lack Natural 8/9.
  • [RES362-2] Add [RES362] fifth-card 10 (0) to P=1 for (1+0) mod 10 = 1.
  • [RES362-3] Run [RES362] BANKER_TABLEAU[6][0]=false to settle 1 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES362

Showdown Settlement & Scoreboard Logging for RES362 (1 vs 6)

[RES362-C2] Comparing [RES362] final totals (5c), Player 1 vs Banker 6 awards [RES362] to Banker (B), which pays 0.95:1 on 5%-commission [RES362] layouts (or 0.5:1 on 6 at No-Commission [RES362] tables) and appends B to PPBBBPPPPB.

[RES362-D3] Side-bet & road check for [RES362] (P1+0->1 vs B6->6, 5c): [RES362] leaves [RES362] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and leaves [RES362] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES362] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES362, Banker 6 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[6][0] = false.
MythBecause RES362 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

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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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