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FINAL TOTAL RESOLUTION [RES297] · 5-CARD PROOF

Player 2 + 9 (9) vs. Banker 4 (Stands at 4): 5-Card Resolution #297

In walkthrough RES297, Player opens with 10+2 (2) and draws fifth-card 9 (9) for a modulo-10 total of 1, while Banker opens with 2+2 (4) and stands pat at 4 (5-card B outcome).

RES297 Player Path
P:2->1
RES297 Banker Path
B:4->4
RES297 Deal Length
5 Cards
RES297 Showdown
B (1v4)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES297 (P2+9->1 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 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

RES297 Four-Card Opening Deal
Player 10+2=2 vs Banker 2+2=4

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

RES297 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.

RES297 Banker Tableau Lookup
BANKER_TABLEAU[4][9] = false

Banker 4 stands pat at 4 without pulling sixth-card 3 (3).

RES297 Card Count & Winner
5 Cards -> B (1 vs 4)

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

RES297 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 · RES297

Step-by-Step Card Arithmetic for RES297: P(10+2)+9 vs B(2+2)

During tableau case [RES297], Player holds 10+2 for 2 while Banker holds 2+2 for 4; drawing fifth-card 9 (9) shifts Player from 2 to 11, which reduces mod-10 to 1.

[RES297-B] Because BANKER_TABLEAU[4][9]=false (4-point six-value gate (2..7)) in [RES297], Banker 4 locks 4 at 5c (leaving 3=3 -> 7 unpulled).

Complete 5-Card Resolution Trace for RES297
RES297 StageRES297 CardsRES297 Modulo MathRES297 Status
[RES297:Init]P(10+2)=2 vs B(2+2)=4playerShouldDraw(2)=true4-Card Deal
[RES297:5th]Player +9 (9)(2+9) mod 10 = 15th Card Sideways
[RES297:6th]Banker Stands (skip 3=3)Locked at 45-Card Final
[RES297:Settle]P=1 vs B=4Winner: BBig Road +B
  • [RES297-1] Confirm [RES297] opening P=2 (10+2) and B=4 (2+2) lack Natural 8/9.
  • [RES297-2] Add [RES297] fifth-card 9 (9) to P=2 for (2+9) mod 10 = 1.
  • [RES297-3] Run [RES297] BANKER_TABLEAU[4][9]=false to settle 1 vs 4 (B).
SETTLEMENT & SCOREBOARD · RES297

Showdown Settlement & Scoreboard Logging for RES297 (1 vs 4)

[RES297-C7] Comparing [RES297] final totals (5c), Player 1 vs Banker 4 awards [RES297] to Banker (B), which pays 0.95:1 on 5%-commission [RES297] layouts (or 0.5:1 on 6 at No-Commission [RES297] tables) and appends B to BBPPPBBBBP.

[RES297-D3] Side-bet & road check for [RES297] (P2+9->1 vs B4->4, 5c): [RES297] leaves [RES297] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=4) and leaves [RES297] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES297] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES297, Banker 4 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 9 (value 9) via BANKER_TABLEAU[4][9] = false.
MythBecause RES297 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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