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FINAL TOTAL RESOLUTION [RES036] · 6-CARD PROOF

Player 5 + 5 (5) vs. Banker 0 (Draws 5 (5)): 6-Card Resolution #36

In walkthrough RES036, Player opens with A+4 (5) and draws fifth-card 5 (5) for a modulo-10 total of 0, while Banker opens with 6+4 (0) and draws sixth-card 5 (5) for 5 (6-card B outcome).

RES036 Player Path
P:5->0
RES036 Banker Path
B:0->5
RES036 Deal Length
6 Cards
RES036 Showdown
B (0v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES036 (P5+5->0 vs B0->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

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

RES036 Four-Card Opening Deal
Player A+4=5 vs Banker 6+4=0

Verified non-natural start via handTotal([A,4])=5 and handTotal([6,4])=0.

RES036 Fifth-Card Modulo Proof
(5 + 5) mod 10 = 0 via 5

Player draws fifth-card 5 (value 5), transforming two-card 5 into three-card 0.

RES036 Banker Tableau Lookup
BANKER_TABLEAU[0][5] = true

Banker 0 draws sixth-card 5 (5) so (0+5) mod 10 = 5.

RES036 Card Count & Winner
6 Cards -> B (0 vs 5)

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

RES036 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

Big Eye Boy, Small Road, and Cockroach Pig compare Big Road column depths, not B vs P.

MODULO-10 ARITHMETIC · RES036

Step-by-Step Card Arithmetic for RES036: P(A+4)+5 vs B(6+4)

Arithmetic trace [RES036] starts from four-card deal A+4=5 vs 6+4=0; Player's compulsory draw of 5 (pip value 5) produces raw 10, which wraps modulo-10 to 0.

[RES036-B] Because BANKER_TABLEAU[0][5]=true (0-point unconditional draw tier) in [RES036], Banker 0 takes sixth-card 5 (5) and 0+5=5 settles at 5.

Complete 6-Card Resolution Trace for RES036
RES036 StageRES036 CardsRES036 Modulo MathRES036 Status
[RES036:Init]P(A+4)=5 vs B(6+4)=0playerShouldDraw(5)=true4-Card Deal
[RES036:5th]Player +5 (5)(5+5) mod 10 = 05th Card Sideways
[RES036:6th]Banker +5 (5)(0+5) mod 10 = 56-Card Final
[RES036:Settle]P=0 vs B=5Winner: BBig Road +B
  • [RES036-1] Confirm [RES036] opening P=5 (A+4) and B=0 (6+4) lack Natural 8/9.
  • [RES036-2] Add [RES036] fifth-card 5 (5) to P=5 for (5+5) mod 10 = 0.
  • [RES036-3] Run [RES036] BANKER_TABLEAU[0][5]=true to settle 0 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES036

Showdown Settlement & Scoreboard Logging for RES036 (0 vs 5)

[RES036-C0] Comparing [RES036] final totals (6c), Player 0 vs Banker 5 awards [RES036] to Banker (B), which pays 0.95:1 on 5%-commission [RES036] layouts (or 0.5:1 on 6 at No-Commission [RES036] tables) and appends B to PPBBBPPBPP.

[RES036-D7] Side-bet & road check for [RES036] (P5+5->0 vs B0->5, 6c): [RES036] leaves [RES036] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=5) and leaves [RES036] Panda 8 inactive (needs winning 3c Player 8, got P=0); on [RES036] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES036, Banker 0 evaluates Player's three-card total (0) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 5 (value 5) via BANKER_TABLEAU[0][5] = true.
MythBecause RES036 resolves as B, the next derived-road mark must match B'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
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android