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FINAL TOTAL RESOLUTION [RES296] · 5-CARD PROOF

Player 1 + 9 (9) vs. Banker 4 (Stands at 4): 5-Card Resolution #296

In walkthrough RES296, Player opens with 7+4 (1) and draws fifth-card 9 (9) for a modulo-10 total of 0, while Banker opens with A+3 (4) and stands pat at 4 (5-card B outcome).

RES296 Player Path
P:1->0
RES296 Banker Path
B:4->4
RES296 Deal Length
5 Cards
RES296 Showdown
B (0v4)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES296 (P1+9->0 vs B4->4).

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

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

RES296 Four-Card Opening Deal
Player 7+4=1 vs Banker A+3=4

Verified non-natural start via handTotal([7,4])=1 and handTotal([A,3])=4.

RES296 Fifth-Card Modulo Proof
(1 + 9) mod 10 = 0 via 9

Player draws fifth-card 9 (value 9), transforming two-card 1 into three-card 0.

RES296 Banker Tableau Lookup
BANKER_TABLEAU[4][9] = false

Banker 4 stands pat at 4 without pulling sixth-card 9 (9).

RES296 Card Count & Winner
5 Cards -> B (0 vs 4)

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

RES296 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 · RES296

Step-by-Step Card Arithmetic for RES296: P(7+4)+9 vs B(A+3)

Engine check [RES296] confirms `playerShouldDraw(1) === true` on 7+4 vs Banker A+3 (4); adding fifth-card 9 (9) gives 10, which evaluates modulo ten to 0.

[RES296-B] Because BANKER_TABLEAU[4][9]=false (4-point six-value gate (2..7)) in [RES296], Banker 4 locks 4 at 5c (leaving 9=9 -> 3 unpulled).

Complete 5-Card Resolution Trace for RES296
RES296 StageRES296 CardsRES296 Modulo MathRES296 Status
[RES296:Init]P(7+4)=1 vs B(A+3)=4playerShouldDraw(1)=true4-Card Deal
[RES296:5th]Player +9 (9)(1+9) mod 10 = 05th Card Sideways
[RES296:6th]Banker Stands (skip 9=9)Locked at 45-Card Final
[RES296:Settle]P=0 vs B=4Winner: BBig Road +B
  • [RES296-1] Confirm [RES296] opening P=1 (7+4) and B=4 (A+3) lack Natural 8/9.
  • [RES296-2] Add [RES296] fifth-card 9 (9) to P=1 for (1+9) mod 10 = 0.
  • [RES296-3] Run [RES296] BANKER_TABLEAU[4][9]=false to settle 0 vs 4 (B).
SETTLEMENT & SCOREBOARD · RES296

Showdown Settlement & Scoreboard Logging for RES296 (0 vs 4)

[RES296-C2] Comparing [RES296] final totals (5c), Player 0 vs Banker 4 awards [RES296] to Banker (B), which pays 0.95:1 on 5%-commission [RES296] layouts (or 0.5:1 on 6 at No-Commission [RES296] tables) and appends B to PPBBPBPBBB.

[RES296-D7] Side-bet & road check for [RES296] (P1+9->0 vs B4->4, 5c): [RES296] leaves [RES296] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=4) and leaves [RES296] Panda 8 inactive (needs winning 3c Player 8, got P=0); on [RES296] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES296, Banker 4 evaluates Player's three-card total (0) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 9 (value 9) via BANKER_TABLEAU[4][9] = false.
MythBecause RES296 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
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
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