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FINAL TOTAL RESOLUTION [RES287] · 6-CARD PROOF

Player 4 + 7 (7) vs. Banker 4 (Draws 3 (3)): 6-Card Resolution #287

In walkthrough RES287, Player opens with 2+2 (4) and draws fifth-card 7 (7) for a modulo-10 total of 1, while Banker opens with 2+2 (4) and draws sixth-card 3 (3) for 7 (6-card B outcome).

RES287 Player Path
P:4->1
RES287 Banker Path
B:4->7
RES287 Deal Length
6 Cards
RES287 Showdown
B (1v7)
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 B B B P P P B B B B P
Big Eye Boy = = ≠ = ≠ ≠ ≠ ≠ = ≠ = = = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ = = ≠ ≠
Cockroach Pig ≠ = = = ≠ = ≠ = ≠ ≠ ≠ = = ≠

Scoreboard sequence paired with 6-card resolution RES287 (P4+7->1 vs B4->7).

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

RES287 Four-Card Opening Deal
Player 2+2=4 vs Banker 2+2=4

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

RES287 Fifth-Card Modulo Proof
(4 + 7) mod 10 = 1 via 7

Player draws fifth-card 7 (value 7), transforming two-card 4 into three-card 1.

RES287 Banker Tableau Lookup
BANKER_TABLEAU[4][7] = true

Banker 4 draws sixth-card 3 (3) so (4+3) mod 10 = 7.

RES287 Card Count & Winner
6 Cards -> B (1 vs 7)

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

RES287 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 · RES287

Step-by-Step Card Arithmetic for RES287: P(2+2)+7 vs B(2+2)

Matrix coordinate [RES287] isolates Player two-card 4 (2+2) and Banker 4 (2+2); dealing fifth-card 7 (7) yields raw 11 that retains the rightmost digit to 1.

[RES287-B] Under 4-point six-value gate (2..7) for [RES287], exposed 7 (7) obligates Banker 4 to draw 3 (3), converting 4+3=7 into 7.

Complete 6-Card Resolution Trace for RES287
RES287 StageRES287 CardsRES287 Modulo MathRES287 Status
[RES287:Init]P(2+2)=4 vs B(2+2)=4playerShouldDraw(4)=true4-Card Deal
[RES287:5th]Player +7 (7)(4+7) mod 10 = 15th Card Sideways
[RES287:6th]Banker +3 (3)(4+3) mod 10 = 76-Card Final
[RES287:Settle]P=1 vs B=7Winner: BBig Road +B
  • [RES287-1] Confirm [RES287] opening P=4 (2+2) and B=4 (2+2) lack Natural 8/9.
  • [RES287-2] Add [RES287] fifth-card 7 (7) to P=4 for (4+7) mod 10 = 1.
  • [RES287-3] Run [RES287] BANKER_TABLEAU[4][7]=true to settle 1 vs 7 (B).
SETTLEMENT & SCOREBOARD · RES287

Showdown Settlement & Scoreboard Logging for RES287 (1 vs 7)

[RES287-C1] Comparing [RES287] final totals (6c), Player 1 vs Banker 7 awards [RES287] to Banker (B), which pays 0.95:1 on 5%-commission [RES287] layouts (or 0.5:1 on 6 at No-Commission [RES287] tables) and appends B to BBPPBPBBPB.

[RES287-D4] Side-bet & road check for [RES287] (P4+7->1 vs B4->7, 6c): [RES287] triggers [RES287] Dragon 7 (winning 3-card Banker 7, 40:1) and leaves [RES287] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES287] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES287, Banker 4 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 7 (value 7) via BANKER_TABLEAU[4][7] = true.
MythBecause RES287 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

Read Every Derived Road at Table Speed

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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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