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FINAL TOTAL RESOLUTION [RES369] · 5-CARD PROOF

Player 2 + A (1) vs. Banker 6 (Stands at 6): 5-Card Resolution #369

In walkthrough RES369, Player opens with 10+2 (2) and draws fifth-card A (1) for a modulo-10 total of 3, while Banker opens with 3+3 (6) and stands pat at 6 (5-card B outcome).

RES369 Player Path
P:2->3
RES369 Banker Path
B:6->6
RES369 Deal Length
5 Cards
RES369 Showdown
B (3v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES369 (P2+1->3 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 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

RES369 Four-Card Opening Deal
Player 10+2=2 vs Banker 3+3=6

Verified non-natural start via handTotal([10,2])=2 and handTotal([3,3])=6.

RES369 Fifth-Card Modulo Proof
(2 + 1) mod 10 = 3 via A

Player draws fifth-card A (value 1), transforming two-card 2 into three-card 3.

RES369 Banker Tableau Lookup
BANKER_TABLEAU[6][1] = false

Banker 6 stands pat at 6 without pulling sixth-card 3 (3).

RES369 Card Count & Winner
5 Cards -> B (3 vs 6)

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

RES369 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 · RES369

Step-by-Step Card Arithmetic for RES369: P(10+2)+A vs B(3+3)

Under audit [RES369], Player opens on two-card 2 (10+2) opposite Banker 6 (3+3), triggering a mandatory fifth-card pull of A (value 1) that settles via mod-10 arithmetic from 3 into 3.

[RES369-B] Five-card branch [RES369] ends as A (1) falls outside 6-point two-value trigger (6..7), keeping Banker 6 at 6 rather than 9 via 3.

Complete 5-Card Resolution Trace for RES369
RES369 StageRES369 CardsRES369 Modulo MathRES369 Status
[RES369:Init]P(10+2)=2 vs B(3+3)=6playerShouldDraw(2)=true4-Card Deal
[RES369:5th]Player +A (1)(2+1) mod 10 = 35th Card Sideways
[RES369:6th]Banker Stands (skip 3=3)Locked at 65-Card Final
[RES369:Settle]P=3 vs B=6Winner: BBig Road +B
  • [RES369-1] Confirm [RES369] opening P=2 (10+2) and B=6 (3+3) lack Natural 8/9.
  • [RES369-2] Add [RES369] fifth-card A (1) to P=2 for (2+1) mod 10 = 3.
  • [RES369-3] Run [RES369] BANKER_TABLEAU[6][1]=false to settle 3 vs 6 (B).
SETTLEMENT & SCOREBOARD · RES369

Showdown Settlement & Scoreboard Logging for RES369 (3 vs 6)

[RES369-C4] Comparing [RES369] final totals (5c), Player 3 vs Banker 6 awards [RES369] to Banker (B), which pays 0.95:1 on 5%-commission [RES369] layouts (or 0.5:1 on 6 at No-Commission [RES369] tables) and appends B to BBPPBPBBPP.

[RES369-D1] Side-bet & road check for [RES369] (P2+1->3 vs B6->6, 5c): [RES369] leaves [RES369] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and leaves [RES369] Panda 8 inactive (needs winning 3c Player 8, got P=3); on [RES369] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES369, Banker 6 evaluates Player's three-card total (3) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[6][1] = false.
MythBecause RES369 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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