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FINAL TOTAL RESOLUTION [RES035] · 6-CARD PROOF

Player 4 + 5 (5) vs. Banker 0 (Draws A (1)): 6-Card Resolution #35

In walkthrough RES035, Player opens with 2+2 (4) and draws fifth-card 5 (5) for a modulo-10 total of 9, while Banker opens with 10+K (0) and draws sixth-card A (1) for 1 (6-card P outcome).

RES035 Player Path
P:4->9
RES035 Banker Path
B:0->1
RES035 Deal Length
6 Cards
RES035 Showdown
P (9v1)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES035 (P4+5->9 vs B0->1).

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

Column 4 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 5 has 2 beads. 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 2 beads. 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

RES035 Four-Card Opening Deal
Player 2+2=4 vs Banker 10+K=0

Verified non-natural start via handTotal([2,2])=4 and handTotal([10,K])=0.

RES035 Fifth-Card Modulo Proof
(4 + 5) mod 10 = 9 via 5

Player draws fifth-card 5 (value 5), transforming two-card 4 into three-card 9.

RES035 Banker Tableau Lookup
BANKER_TABLEAU[0][5] = true

Banker 0 draws sixth-card A (1) so (0+1) mod 10 = 1.

RES035 Card Count & Winner
6 Cards -> P (9 vs 1)

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

RES035 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 · RES035

Step-by-Step Card Arithmetic for RES035: P(2+2)+5 vs B(10+K)

Matrix coordinate [RES035] isolates Player two-card 4 (2+2) and Banker 0 (10+K); dealing fifth-card 5 (5) yields raw 9 that retains the rightmost digit to 9.

[RES035-B] Next in [RES035], Banker consults 0-point unconditional draw tier: facing fifth-card 5 (5), Banker 0 draws A (1) so 0+1=1 -> 1.

Complete 6-Card Resolution Trace for RES035
RES035 StageRES035 CardsRES035 Modulo MathRES035 Status
[RES035:Init]P(2+2)=4 vs B(10+K)=0playerShouldDraw(4)=true4-Card Deal
[RES035:5th]Player +5 (5)(4+5) mod 10 = 95th Card Sideways
[RES035:6th]Banker +A (1)(0+1) mod 10 = 16-Card Final
[RES035:Settle]P=9 vs B=1Winner: PBig Road +P
  • [RES035-1] Confirm [RES035] opening P=4 (2+2) and B=0 (10+K) lack Natural 8/9.
  • [RES035-2] Add [RES035] fifth-card 5 (5) to P=4 for (4+5) mod 10 = 9.
  • [RES035-3] Run [RES035] BANKER_TABLEAU[0][5]=true to settle 9 vs 1 (P).
SETTLEMENT & SCOREBOARD · RES035

Showdown Settlement & Scoreboard Logging for RES035 (9 vs 1)

[RES035-C6] Comparing [RES035] final totals (6c), Player 9 vs Banker 1 awards [RES035] to Player (P), which pays 1:1 even money on [RES035] Player boxes with zero commission deducted and appends P to BBPPPBBPBB.

[RES035-D11] Side-bet & road check for [RES035] (P4+5->9 vs B0->1, 6c): [RES035] leaves [RES035] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=1) and leaves [RES035] Panda 8 inactive (needs winning 3c Player 8, got P=9); on [RES035] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES035, Banker 0 evaluates Player's three-card total (9) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 5 (value 5) via BANKER_TABLEAU[0][5] = true.
MythBecause RES035 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

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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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