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FINAL TOTAL RESOLUTION [RES257] · 6-CARD PROOF

Player 4 + 2 (2) vs. Banker 4 (Draws 8 (8)): 6-Card Resolution #257

In walkthrough RES257, Player opens with 2+2 (4) and draws fifth-card 2 (2) for a modulo-10 total of 6, while Banker opens with 2+2 (4) and draws sixth-card 8 (8) for 2 (6-card P outcome).

RES257 Player Path
P:4->6
RES257 Banker Path
B:4->2
RES257 Deal Length
6 Cards
RES257 Showdown
P (6v2)
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 6-card resolution RES257 (P4+2->6 vs B4->2).

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

RES257 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.

RES257 Fifth-Card Modulo Proof
(4 + 2) mod 10 = 6 via 2

Player draws fifth-card 2 (value 2), transforming two-card 4 into three-card 6.

RES257 Banker Tableau Lookup
BANKER_TABLEAU[4][2] = true

Banker 4 draws sixth-card 8 (8) so (4+8) mod 10 = 2.

RES257 Card Count & Winner
6 Cards -> P (6 vs 2)

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

RES257 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

Big Eye Boy, Small Road, and Cockroach Pig compare Big Road column depths, not P vs B.

MODULO-10 ARITHMETIC · RES257

Step-by-Step Card Arithmetic for RES257: P(2+2)+2 vs B(2+2)

Under audit [RES257], Player opens on two-card 4 (2+2) opposite Banker 4 (2+2), triggering a mandatory fifth-card pull of 2 (value 2) that settles via mod-10 arithmetic from 6 into 6.

[RES257-B] Because BANKER_TABLEAU[4][2]=true (4-point six-value gate (2..7)) in [RES257], Banker 4 takes sixth-card 8 (8) and 4+8=12 settles at 2.

Complete 6-Card Resolution Trace for RES257
RES257 StageRES257 CardsRES257 Modulo MathRES257 Status
[RES257:Init]P(2+2)=4 vs B(2+2)=4playerShouldDraw(4)=true4-Card Deal
[RES257:5th]Player +2 (2)(4+2) mod 10 = 65th Card Sideways
[RES257:6th]Banker +8 (8)(4+8) mod 10 = 26-Card Final
[RES257:Settle]P=6 vs B=2Winner: PBig Road +P
  • [RES257-1] Confirm [RES257] opening P=4 (2+2) and B=4 (2+2) lack Natural 8/9.
  • [RES257-2] Add [RES257] fifth-card 2 (2) to P=4 for (4+2) mod 10 = 6.
  • [RES257-3] Run [RES257] BANKER_TABLEAU[4][2]=true to settle 6 vs 2 (P).
SETTLEMENT & SCOREBOARD · RES257

Showdown Settlement & Scoreboard Logging for RES257 (6 vs 2)

[RES257-C5] Comparing [RES257] final totals (6c), Player 6 vs Banker 2 awards [RES257] to Player (P), which pays 1:1 even money on [RES257] Player boxes with zero commission deducted and appends P to BBPPBPBBPP.

[RES257-D7] Side-bet & road check for [RES257] (P4+2->6 vs B4->2, 6c): [RES257] leaves [RES257] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=2) and leaves [RES257] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES257] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES257, Banker 4 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[4][2] = true.
MythBecause RES257 resolves as P, the next derived-road mark must match P'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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