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FINAL TOTAL RESOLUTION [RES097] · 6-CARD PROOF

Player 0 + 6 (6) vs. Banker 1 (Draws 5 (5)): 6-Card Resolution #97

In walkthrough RES097, Player opens with 10+K (0) and draws fifth-card 6 (6) 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).

RES097 Player Path
P:0->6
RES097 Banker Path
B:1->6
RES097 Deal Length
6 Cards
RES097 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 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 RES097 (P0+6->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

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

RES097 Four-Card Opening Deal
Player 10+K=0 vs Banker 7+4=1

Verified non-natural start via handTotal([10,K])=0 and handTotal([7,4])=1.

RES097 Fifth-Card Modulo Proof
(0 + 6) mod 10 = 6 via 6

Player draws fifth-card 6 (value 6), transforming two-card 0 into three-card 6.

RES097 Banker Tableau Lookup
BANKER_TABLEAU[1][6] = true

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

RES097 Card Count & Winner
6 Cards -> T (6 vs 6)

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

RES097 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 · RES097

Step-by-Step Card Arithmetic for RES097: P(10+K)+6 vs B(7+4)

Hand record [RES097] tracks Player 0 (10+K) facing Banker 1 (7+4); with zero naturals on the felt, the fifth card 6 (worth 6) arrives and 6 calculates the mod-10 residue to 6.

[RES097-B] Six-card branch [RES097] activates as 6 (6) hits Banker 1's 1-point automatic draw row; drawing 5 (5) sends 1+5=6 to 6.

Complete 6-Card Resolution Trace for RES097
RES097 StageRES097 CardsRES097 Modulo MathRES097 Status
[RES097:Init]P(10+K)=0 vs B(7+4)=1playerShouldDraw(0)=true4-Card Deal
[RES097:5th]Player +6 (6)(0+6) mod 10 = 65th Card Sideways
[RES097:6th]Banker +5 (5)(1+5) mod 10 = 66-Card Final
[RES097:Settle]P=6 vs B=6Winner: TBig Road +T
  • [RES097-1] Confirm [RES097] opening P=0 (10+K) and B=1 (7+4) lack Natural 8/9.
  • [RES097-2] Add [RES097] fifth-card 6 (6) to P=0 for (0+6) mod 10 = 6.
  • [RES097-3] Run [RES097] BANKER_TABLEAU[1][6]=true to settle 6 vs 6 (T).
SETTLEMENT & SCOREBOARD · RES097

Showdown Settlement & Scoreboard Logging for RES097 (6 vs 6)

[RES097-C8] Comparing [RES097] final totals (6c), Player 6 vs Banker 6 awards [RES097] to Tie (T), which pushes main [RES097] Player/Banker wagers while settling [RES097] Tie bets at 8:1 or 9:1 and appends T to BBPPBPBBPP.

[RES097-D10] Side-bet & road check for [RES097] (P0+6->6 vs B1->6, 6c): [RES097] leaves [RES097] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=6) and leaves [RES097] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES097] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES097, Banker 1 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[1][6] = true.
MythBecause RES097 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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