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FINAL TOTAL RESOLUTION [RES202] · 6-CARD PROOF

Player 3 + 3 (3) vs. Banker 3 (Draws 2 (2)): 6-Card Resolution #202

In walkthrough RES202, Player opens with 9+4 (3) and draws fifth-card 3 (3) for a modulo-10 total of 6, while Banker opens with 10+3 (3) and draws sixth-card 2 (2) for 5 (6-card P outcome).

RES202 Player Path
P:3->6
RES202 Banker Path
B:3->5
RES202 Deal Length
6 Cards
RES202 Showdown
P (6v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road P P B B B P P P P B B P B B B P P P B P
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ = = = ≠
Small Road = ≠ = ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠
Cockroach Pig = = ≠ = = ≠ = ≠ ≠ =

Scoreboard sequence paired with 6-card resolution RES202 (P3+3->6 vs B3->5).

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 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 3 starts, so use Rule 1: compare Column 2 with Column 1, 1 column further back.
  2. Column 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

  1. Column 3 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

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

RES202 Four-Card Opening Deal
Player 9+4=3 vs Banker 10+3=3

Verified non-natural start via handTotal([9,4])=3 and handTotal([10,3])=3.

RES202 Fifth-Card Modulo Proof
(3 + 3) mod 10 = 6 via 3

Player draws fifth-card 3 (value 3), transforming two-card 3 into three-card 6.

RES202 Banker Tableau Lookup
BANKER_TABLEAU[3][3] = true

Banker 3 draws sixth-card 2 (2) so (3+2) mod 10 = 5.

RES202 Card Count & Winner
6 Cards -> P (6 vs 5)

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

RES202 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 · RES202

Step-by-Step Card Arithmetic for RES202: P(9+4)+3 vs B(10+3)

Canonical test [RES202] examines Player 3 (9+4) against Banker 3 (10+3); the fifth card 3 (3) brings Player's raw count to 6, which computes the single-digit remainder to 6.

[RES202-B] Triggered by 3 (3) in [RES202] (3-point single-shade row (0..7, 9)), Banker 3 receives 2 (2) and computes (3+2) mod 10 = 5.

Complete 6-Card Resolution Trace for RES202
RES202 StageRES202 CardsRES202 Modulo MathRES202 Status
[RES202:Init]P(9+4)=3 vs B(10+3)=3playerShouldDraw(3)=true4-Card Deal
[RES202:5th]Player +3 (3)(3+3) mod 10 = 65th Card Sideways
[RES202:6th]Banker +2 (2)(3+2) mod 10 = 56-Card Final
[RES202:Settle]P=6 vs B=5Winner: PBig Road +P
  • [RES202-1] Confirm [RES202] opening P=3 (9+4) and B=3 (10+3) lack Natural 8/9.
  • [RES202-2] Add [RES202] fifth-card 3 (3) to P=3 for (3+3) mod 10 = 6.
  • [RES202-3] Run [RES202] BANKER_TABLEAU[3][3]=true to settle 6 vs 5 (P).
SETTLEMENT & SCOREBOARD · RES202

Showdown Settlement & Scoreboard Logging for RES202 (6 vs 5)

[RES202-C5] Comparing [RES202] final totals (6c), Player 6 vs Banker 5 awards [RES202] to Player (P), which pays 1:1 even money on [RES202] Player boxes with zero commission deducted and appends P to PPBBBPPPPB.

[RES202-D6] Side-bet & road check for [RES202] (P3+3->6 vs B3->5, 6c): [RES202] leaves [RES202] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=5) and leaves [RES202] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES202] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES202, Banker 3 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[3][3] = true.
MythBecause RES202 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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