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FINAL TOTAL RESOLUTION [RES143] · 6-CARD PROOF

Player 4 + 3 (3) vs. Banker 2 (Draws 5 (5)): 6-Card Resolution #143

In walkthrough RES143, Player opens with 2+2 (4) and draws fifth-card 3 (3) for a modulo-10 total of 7, while Banker opens with 10+2 (2) and draws sixth-card 5 (5) for 7 (6-card T outcome).

RES143 Player Path
P:4->7
RES143 Banker Path
B:2->7
RES143 Deal Length
6 Cards
RES143 Showdown
T (7v7)
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 RES143 (P4+3->7 vs B2->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

RES143 Four-Card Opening Deal
Player 2+2=4 vs Banker 10+2=2

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

RES143 Fifth-Card Modulo Proof
(4 + 3) mod 10 = 7 via 3

Player draws fifth-card 3 (value 3), transforming two-card 4 into three-card 7.

RES143 Banker Tableau Lookup
BANKER_TABLEAU[2][3] = true

Banker 2 draws sixth-card 5 (5) so (2+5) mod 10 = 7.

RES143 Card Count & Winner
6 Cards -> T (7 vs 7)

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

RES143 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 · RES143

Step-by-Step Card Arithmetic for RES143: P(2+2)+3 vs B(10+2)

During tableau case [RES143], Player holds 2+2 for 4 while Banker holds 10+2 for 2; drawing fifth-card 3 (3) shifts Player from 4 to 7, which reduces mod-10 to 7.

[RES143-B] Acting on 3=3 inside [RES143], Banker 2 follows 2-point mandatory draw band and pulls 5 (5) for 2+5=7 -> 7.

Complete 6-Card Resolution Trace for RES143
RES143 StageRES143 CardsRES143 Modulo MathRES143 Status
[RES143:Init]P(2+2)=4 vs B(10+2)=2playerShouldDraw(4)=true4-Card Deal
[RES143:5th]Player +3 (3)(4+3) mod 10 = 75th Card Sideways
[RES143:6th]Banker +5 (5)(2+5) mod 10 = 76-Card Final
[RES143:Settle]P=7 vs B=7Winner: TBig Road +T
  • [RES143-1] Confirm [RES143] opening P=4 (2+2) and B=2 (10+2) lack Natural 8/9.
  • [RES143-2] Add [RES143] fifth-card 3 (3) to P=4 for (4+3) mod 10 = 7.
  • [RES143-3] Run [RES143] BANKER_TABLEAU[2][3]=true to settle 7 vs 7 (T).
SETTLEMENT & SCOREBOARD · RES143

Showdown Settlement & Scoreboard Logging for RES143 (7 vs 7)

[RES143-C7] Comparing [RES143] final totals (6c), Player 7 vs Banker 7 awards [RES143] to Tie (T), which pushes main [RES143] Player/Banker wagers while settling [RES143] Tie bets at 8:1 or 9:1 and appends T to BBPPBPBBPB.

[RES143-D8] Side-bet & road check for [RES143] (P4+3->7 vs B2->7, 6c): [RES143] leaves [RES143] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=7) and leaves [RES143] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES143] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES143, Banker 2 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[2][3] = true.
MythBecause RES143 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

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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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