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FINAL TOTAL RESOLUTION [RES087] · 6-CARD PROOF

Player 2 + 4 (4) vs. Banker 1 (Draws 5 (5)): 6-Card Resolution #87

In walkthrough RES087, Player opens with 10+2 (2) and draws fifth-card 4 (4) for a modulo-10 total of 6, while Banker opens with 7+4 (1) and draws sixth-card 5 (5) for 6 (6-card T outcome).

RES087 Player Path
P:2->6
RES087 Banker Path
B:1->6
RES087 Deal Length
6 Cards
RES087 Showdown
T (6v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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Big Road B B P P B P B P P P B B B B P P B P B B
Big Eye Boy = = ≠ = = ≠ = ≠ = = ≠ ≠ = ≠ ≠ = ≠
Small Road ≠ ≠ = ≠ = ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠
Cockroach Pig ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ =

Scoreboard sequence paired with 6-card resolution RES087 (P2+4->6 vs B1->6).

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

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

RES087 Four-Card Opening Deal
Player 10+2=2 vs Banker 7+4=1

Verified non-natural start via handTotal([10,2])=2 and handTotal([7,4])=1.

RES087 Fifth-Card Modulo Proof
(2 + 4) mod 10 = 6 via 4

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

RES087 Banker Tableau Lookup
BANKER_TABLEAU[1][4] = true

Banker 1 draws sixth-card 5 (5) so (1+5) mod 10 = 6.

RES087 Card Count & Winner
6 Cards -> T (6 vs 6)

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

RES087 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 · RES087

Step-by-Step Card Arithmetic for RES087: P(10+2)+4 vs B(7+4)

During tableau case [RES087], Player holds 10+2 for 2 while Banker holds 7+4 for 1; drawing fifth-card 4 (4) shifts Player from 2 to 6, which reduces mod-10 to 6.

[RES087-B] Next in [RES087], Banker consults 1-point automatic draw row: facing fifth-card 4 (4), Banker 1 draws 5 (5) so 1+5=6 -> 6.

Complete 6-Card Resolution Trace for RES087
RES087 StageRES087 CardsRES087 Modulo MathRES087 Status
[RES087:Init]P(10+2)=2 vs B(7+4)=1playerShouldDraw(2)=true4-Card Deal
[RES087:5th]Player +4 (4)(2+4) mod 10 = 65th Card Sideways
[RES087:6th]Banker +5 (5)(1+5) mod 10 = 66-Card Final
[RES087:Settle]P=6 vs B=6Winner: TBig Road +T
  • [RES087-1] Confirm [RES087] opening P=2 (10+2) and B=1 (7+4) lack Natural 8/9.
  • [RES087-2] Add [RES087] fifth-card 4 (4) to P=2 for (2+4) mod 10 = 6.
  • [RES087-3] Run [RES087] BANKER_TABLEAU[1][4]=true to settle 6 vs 6 (T).
SETTLEMENT & SCOREBOARD · RES087

Showdown Settlement & Scoreboard Logging for RES087 (6 vs 6)

[RES087-C2] Comparing [RES087] final totals (6c), Player 6 vs Banker 6 awards [RES087] to Tie (T), which pushes main [RES087] Player/Banker wagers while settling [RES087] Tie bets at 8:1 or 9:1 and appends T to BBPPBPBPPP.

[RES087-D11] Side-bet & road check for [RES087] (P2+4->6 vs B1->6, 6c): [RES087] leaves [RES087] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=6) and leaves [RES087] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES087] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES087, Banker 1 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 4 (value 4) via BANKER_TABLEAU[1][4] = true.
MythBecause RES087 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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