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FINAL TOTAL RESOLUTION [RES255] · 6-CARD PROOF

Player 2 + 2 (2) vs. Banker 4 (Draws 10 (0)): 6-Card Resolution #255

In walkthrough RES255, Player opens with 10+2 (2) and draws fifth-card 2 (2) for a modulo-10 total of 4, while Banker opens with 2+2 (4) and draws sixth-card 10 (0) for 4 (6-card T outcome).

RES255 Player Path
P:2->4
RES255 Banker Path
B:4->4
RES255 Deal Length
6 Cards
RES255 Showdown
T (4v4)
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 RES255 (P2+2->4 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

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

RES255 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.

RES255 Fifth-Card Modulo Proof
(2 + 2) mod 10 = 4 via 2

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

RES255 Banker Tableau Lookup
BANKER_TABLEAU[4][2] = true

Banker 4 draws sixth-card 10 (0) so (4+0) mod 10 = 4.

RES255 Card Count & Winner
6 Cards -> T (4 vs 4)

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

RES255 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

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

MODULO-10 ARITHMETIC · RES255

Step-by-Step Card Arithmetic for RES255: P(10+2)+2 vs B(2+2)

During tableau case [RES255], Player holds 10+2 for 2 while Banker holds 2+2 for 4; drawing fifth-card 2 (2) shifts Player from 2 to 4, which reduces mod-10 to 4.

[RES255-B] Next in [RES255], Banker consults 4-point six-value gate (2..7): facing fifth-card 2 (2), Banker 4 draws 10 (0) so 4+0=4 -> 4.

Complete 6-Card Resolution Trace for RES255
RES255 StageRES255 CardsRES255 Modulo MathRES255 Status
[RES255:Init]P(10+2)=2 vs B(2+2)=4playerShouldDraw(2)=true4-Card Deal
[RES255:5th]Player +2 (2)(2+2) mod 10 = 45th Card Sideways
[RES255:6th]Banker +10 (0)(4+0) mod 10 = 46-Card Final
[RES255:Settle]P=4 vs B=4Winner: TBig Road +T
  • [RES255-1] Confirm [RES255] opening P=2 (10+2) and B=4 (2+2) lack Natural 8/9.
  • [RES255-2] Add [RES255] fifth-card 2 (2) to P=2 for (2+2) mod 10 = 4.
  • [RES255-3] Run [RES255] BANKER_TABLEAU[4][2]=true to settle 4 vs 4 (T).
SETTLEMENT & SCOREBOARD · RES255

Showdown Settlement & Scoreboard Logging for RES255 (4 vs 4)

[RES255-C6] Comparing [RES255] final totals (6c), Player 4 vs Banker 4 awards [RES255] to Tie (T), which pushes main [RES255] Player/Banker wagers while settling [RES255] Tie bets at 8:1 or 9:1 and appends T to BBPPBPBBPB.

[RES255-D2] Side-bet & road check for [RES255] (P2+2->4 vs B4->4, 6c): [RES255] leaves [RES255] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=4) and leaves [RES255] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES255] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES255, Banker 4 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[4][2] = true.
MythBecause RES255 resolves as T, the next derived-road mark must match T'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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