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FINAL TOTAL RESOLUTION [RES357] · 5-CARD PROOF

Player 2 + 9 (9) vs. Banker 5 (Stands at 5): 5-Card Resolution #357

In walkthrough RES357, Player opens with 10+2 (2) and draws fifth-card 9 (9) for a modulo-10 total of 1, while Banker opens with A+4 (5) and stands pat at 5 (5-card B outcome).

RES357 Player Path
P:2->1
RES357 Banker Path
B:5->5
RES357 Deal Length
5 Cards
RES357 Showdown
B (1v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES357 (P2+9->1 vs B5->5).

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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Small Road Mark #3

Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

RES357 Four-Card Opening Deal
Player 10+2=2 vs Banker A+4=5

Verified non-natural start via handTotal([10,2])=2 and handTotal([A,4])=5.

RES357 Fifth-Card Modulo Proof
(2 + 9) mod 10 = 1 via 9

Player draws fifth-card 9 (value 9), transforming two-card 2 into three-card 1.

RES357 Banker Tableau Lookup
BANKER_TABLEAU[5][9] = false

Banker 5 stands pat at 5 without pulling sixth-card 4 (4).

RES357 Card Count & Winner
5 Cards -> B (1 vs 5)

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

RES357 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 · RES357

Step-by-Step Card Arithmetic for RES357: P(10+2)+9 vs B(A+4)

Matrix coordinate [RES357] isolates Player two-card 2 (10+2) and Banker 5 (A+4); dealing fifth-card 9 (9) yields raw 11 that retains the rightmost digit to 1.

[RES357-B] Five-card branch [RES357] ends as 9 (9) falls outside 5-point four-value window (4..7), keeping Banker 5 at 5 rather than 9 via 4.

Complete 5-Card Resolution Trace for RES357
RES357 StageRES357 CardsRES357 Modulo MathRES357 Status
[RES357:Init]P(10+2)=2 vs B(A+4)=5playerShouldDraw(2)=true4-Card Deal
[RES357:5th]Player +9 (9)(2+9) mod 10 = 15th Card Sideways
[RES357:6th]Banker Stands (skip 4=4)Locked at 55-Card Final
[RES357:Settle]P=1 vs B=5Winner: BBig Road +B
  • [RES357-1] Confirm [RES357] opening P=2 (10+2) and B=5 (A+4) lack Natural 8/9.
  • [RES357-2] Add [RES357] fifth-card 9 (9) to P=2 for (2+9) mod 10 = 1.
  • [RES357-3] Run [RES357] BANKER_TABLEAU[5][9]=false to settle 1 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES357

Showdown Settlement & Scoreboard Logging for RES357 (1 vs 5)

[RES357-C10] Comparing [RES357] final totals (5c), Player 1 vs Banker 5 awards [RES357] to Banker (B), which pays 0.95:1 on 5%-commission [RES357] layouts (or 0.5:1 on 6 at No-Commission [RES357] tables) and appends B to BBPPBBPBPB.

[RES357-D10] Side-bet & road check for [RES357] (P2+9->1 vs B5->5, 5c): [RES357] leaves [RES357] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=5) and leaves [RES357] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES357] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES357, Banker 5 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 9 (value 9) via BANKER_TABLEAU[5][9] = false.
MythBecause RES357 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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