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FINAL TOTAL RESOLUTION [RES051] · 6-CARD PROOF

Player 2 + 8 (8) vs. Banker 0 (Draws 10 (0)): 6-Card Resolution #51

In walkthrough RES051, Player opens with 10+2 (2) and draws fifth-card 8 (8) for a modulo-10 total of 0, while Banker opens with 10+K (0) and draws sixth-card 10 (0) for 0 (6-card T outcome).

RES051 Player Path
P:2->0
RES051 Banker Path
B:0->0
RES051 Deal Length
6 Cards
RES051 Showdown
T (0v0)
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 RES051 (P2+8->0 vs B0->0).

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

RES051 Four-Card Opening Deal
Player 10+2=2 vs Banker 10+K=0

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

RES051 Fifth-Card Modulo Proof
(2 + 8) mod 10 = 0 via 8

Player draws fifth-card 8 (value 8), transforming two-card 2 into three-card 0.

RES051 Banker Tableau Lookup
BANKER_TABLEAU[0][8] = true

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

RES051 Card Count & Winner
6 Cards -> T (0 vs 0)

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

RES051 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 · RES051

Step-by-Step Card Arithmetic for RES051: P(10+2)+8 vs B(10+K)

Evaluating sequence [RES051], the shoe delivers 10+2 (2) to Player and 10+K (0) to Banker; after natural checks clear, fifth-card 8 (8) maps the raw pip total mod 10 (2+8=10) to final Player total 0.

[RES051-B] Acting on 8=8 inside [RES051], Banker 0 follows 0-point unconditional draw tier and pulls 10 (0) for 0+0=0 -> 0.

Complete 6-Card Resolution Trace for RES051
RES051 StageRES051 CardsRES051 Modulo MathRES051 Status
[RES051:Init]P(10+2)=2 vs B(10+K)=0playerShouldDraw(2)=true4-Card Deal
[RES051:5th]Player +8 (8)(2+8) mod 10 = 05th Card Sideways
[RES051:6th]Banker +10 (0)(0+0) mod 10 = 06-Card Final
[RES051:Settle]P=0 vs B=0Winner: TBig Road +T
  • [RES051-1] Confirm [RES051] opening P=2 (10+2) and B=0 (10+K) lack Natural 8/9.
  • [RES051-2] Add [RES051] fifth-card 8 (8) to P=2 for (2+8) mod 10 = 0.
  • [RES051-3] Run [RES051] BANKER_TABLEAU[0][8]=true to settle 0 vs 0 (T).
SETTLEMENT & SCOREBOARD · RES051

Showdown Settlement & Scoreboard Logging for RES051 (0 vs 0)

[RES051-C9] Comparing [RES051] final totals (6c), Player 0 vs Banker 0 awards [RES051] to Tie (T), which pushes main [RES051] Player/Banker wagers while settling [RES051] Tie bets at 8:1 or 9:1 and appends T to BBPPPBBPBB.

[RES051-D12] Side-bet & road check for [RES051] (P2+8->0 vs B0->0, 6c): [RES051] leaves [RES051] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=0) and leaves [RES051] Panda 8 inactive (needs winning 3c Player 8, got P=0); on [RES051] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES051, Banker 0 evaluates Player's three-card total (0) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 8 (value 8) via BANKER_TABLEAU[0][8] = true.
MythBecause RES051 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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