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FINAL TOTAL RESOLUTION [RES011] · 6-CARD PROOF

Player 4 + A (1) vs. Banker 0 (Draws 5 (5)): 6-Card Resolution #11

In walkthrough RES011, Player opens with 2+2 (4) and draws fifth-card A (1) for a modulo-10 total of 5, while Banker opens with 10+K (0) and draws sixth-card 5 (5) for 5 (6-card T outcome).

RES011 Player Path
P:4->5
RES011 Banker Path
B:0->5
RES011 Deal Length
6 Cards
RES011 Showdown
T (5v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES011 (P4+1->5 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 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

Small Road Mark #3

This bead is at Row 3. Column 2 stopped at Row 2, one row above → blue (≠).

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

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Cockroach Pig Mark #3

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

RES011 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.

RES011 Fifth-Card Modulo Proof
(4 + 1) mod 10 = 5 via A

Player draws fifth-card A (value 1), transforming two-card 4 into three-card 5.

RES011 Banker Tableau Lookup
BANKER_TABLEAU[0][1] = true

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

RES011 Card Count & Winner
6 Cards -> T (5 vs 5)

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

RES011 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 · RES011

Step-by-Step Card Arithmetic for RES011: P(2+2)+A vs B(10+K)

Shoe deal [RES011] places 2+2 (4) on Player and 10+K (0) on Banker; because 4 is below 6, Player draws A (1) and 5 truncates the decimal tens place to 5.

[RES011-B] Because BANKER_TABLEAU[0][1]=true (0-point unconditional draw tier) in [RES011], Banker 0 takes sixth-card 5 (5) and 0+5=5 settles at 5.

Complete 6-Card Resolution Trace for RES011
RES011 StageRES011 CardsRES011 Modulo MathRES011 Status
[RES011:Init]P(2+2)=4 vs B(10+K)=0playerShouldDraw(4)=true4-Card Deal
[RES011:5th]Player +A (1)(4+1) mod 10 = 55th Card Sideways
[RES011:6th]Banker +5 (5)(0+5) mod 10 = 56-Card Final
[RES011:Settle]P=5 vs B=5Winner: TBig Road +T
  • [RES011-1] Confirm [RES011] opening P=4 (2+2) and B=0 (10+K) lack Natural 8/9.
  • [RES011-2] Add [RES011] fifth-card A (1) to P=4 for (4+1) mod 10 = 5.
  • [RES011-3] Run [RES011] BANKER_TABLEAU[0][1]=true to settle 5 vs 5 (T).
SETTLEMENT & SCOREBOARD · RES011

Showdown Settlement & Scoreboard Logging for RES011 (5 vs 5)

[RES011-C7] Comparing [RES011] final totals (6c), Player 5 vs Banker 5 awards [RES011] to Tie (T), which pushes main [RES011] Player/Banker wagers while settling [RES011] Tie bets at 8:1 or 9:1 and appends T to BBPPBPPPBB.

[RES011-D3] Side-bet & road check for [RES011] (P4+1->5 vs B0->5, 6c): [RES011] leaves [RES011] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=5) and leaves [RES011] Panda 8 inactive (needs winning 3c Player 8, got P=5); on [RES011] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES011, Banker 0 evaluates Player's three-card total (5) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[0][1] = true.
MythBecause RES011 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