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FINAL TOTAL RESOLUTION [RES067] · 6-CARD PROOF

Player 0 + A (1) vs. Banker 1 (Draws 10 (0)): 6-Card Resolution #67

In walkthrough RES067, Player opens with 10+K (0) and draws fifth-card A (1) for a modulo-10 total of 1, while Banker opens with 7+4 (1) and draws sixth-card 10 (0) for 1 (6-card T outcome).

RES067 Player Path
P:0->1
RES067 Banker Path
B:1->1
RES067 Deal Length
6 Cards
RES067 Showdown
T (1v1)
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 RES067 (P0+1->1 vs B1->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

RES067 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.

RES067 Fifth-Card Modulo Proof
(0 + 1) mod 10 = 1 via A

Player draws fifth-card A (value 1), transforming two-card 0 into three-card 1.

RES067 Banker Tableau Lookup
BANKER_TABLEAU[1][1] = true

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

RES067 Card Count & Winner
6 Cards -> T (1 vs 1)

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

RES067 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 · RES067

Step-by-Step Card Arithmetic for RES067: P(10+K)+A vs B(7+4)

Shoe deal [RES067] places 10+K (0) on Player and 7+4 (1) on Banker; because 0 is below 6, Player draws A (1) and 1 truncates the decimal tens place to 1.

[RES067-B] Under 1-point automatic draw row for [RES067], exposed A (1) obligates Banker 1 to draw 10 (0), converting 1+0=1 into 1.

Complete 6-Card Resolution Trace for RES067
RES067 StageRES067 CardsRES067 Modulo MathRES067 Status
[RES067:Init]P(10+K)=0 vs B(7+4)=1playerShouldDraw(0)=true4-Card Deal
[RES067:5th]Player +A (1)(0+1) mod 10 = 15th Card Sideways
[RES067:6th]Banker +10 (0)(1+0) mod 10 = 16-Card Final
[RES067:Settle]P=1 vs B=1Winner: TBig Road +T
  • [RES067-1] Confirm [RES067] opening P=0 (10+K) and B=1 (7+4) lack Natural 8/9.
  • [RES067-2] Add [RES067] fifth-card A (1) to P=0 for (0+1) mod 10 = 1.
  • [RES067-3] Run [RES067] BANKER_TABLEAU[1][1]=true to settle 1 vs 1 (T).
SETTLEMENT & SCOREBOARD · RES067

Showdown Settlement & Scoreboard Logging for RES067 (1 vs 1)

[RES067-C1] Comparing [RES067] final totals (6c), Player 1 vs Banker 1 awards [RES067] to Tie (T), which pushes main [RES067] Player/Banker wagers while settling [RES067] Tie bets at 8:1 or 9:1 and appends T to BBPPPBBPBB.

[RES067-D0] Side-bet & road check for [RES067] (P0+1->1 vs B1->1, 6c): [RES067] leaves [RES067] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=1) and leaves [RES067] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES067] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES067, Banker 1 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[1][1] = true.
MythBecause RES067 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
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android