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FINAL TOTAL RESOLUTION [RES153] · 6-CARD PROOF

Player 2 + 5 (5) vs. Banker 2 (Draws 5 (5)): 6-Card Resolution #153

In walkthrough RES153, Player opens with 10+2 (2) and draws fifth-card 5 (5) for a modulo-10 total of 7, while Banker opens with 10+2 (2) and draws sixth-card 5 (5) for 7 (6-card T outcome).

RES153 Player Path
P:2->7
RES153 Banker Path
B:2->7
RES153 Deal Length
6 Cards
RES153 Showdown
T (7v7)
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 B B P P B P P P B B B P B
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ = = = ≠
Small Road = ≠ = ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠
Cockroach Pig = = ≠ = = ≠ = ≠ ≠ =

Scoreboard sequence paired with 6-card resolution RES153 (P2+5->7 vs B2->7).

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

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

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

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 1 bead. 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 1 bead. 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

RES153 Four-Card Opening Deal
Player 10+2=2 vs Banker 10+2=2

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

RES153 Fifth-Card Modulo Proof
(2 + 5) mod 10 = 7 via 5

Player draws fifth-card 5 (value 5), transforming two-card 2 into three-card 7.

RES153 Banker Tableau Lookup
BANKER_TABLEAU[2][5] = true

Banker 2 draws sixth-card 5 (5) so (2+5) mod 10 = 7.

RES153 Card Count & Winner
6 Cards -> T (7 vs 7)

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

RES153 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 · RES153

Step-by-Step Card Arithmetic for RES153: P(10+2)+5 vs B(10+2)

Hand record [RES153] tracks Player 2 (10+2) facing Banker 2 (10+2); with zero naturals on the felt, the fifth card 5 (worth 5) arrives and 7 calculates the mod-10 residue to 7.

[RES153-B] Because BANKER_TABLEAU[2][5]=true (2-point mandatory draw band) in [RES153], Banker 2 takes sixth-card 5 (5) and 2+5=7 settles at 7.

Complete 6-Card Resolution Trace for RES153
RES153 StageRES153 CardsRES153 Modulo MathRES153 Status
[RES153:Init]P(10+2)=2 vs B(10+2)=2playerShouldDraw(2)=true4-Card Deal
[RES153:5th]Player +5 (5)(2+5) mod 10 = 75th Card Sideways
[RES153:6th]Banker +5 (5)(2+5) mod 10 = 76-Card Final
[RES153:Settle]P=7 vs B=7Winner: TBig Road +T
  • [RES153-1] Confirm [RES153] opening P=2 (10+2) and B=2 (10+2) lack Natural 8/9.
  • [RES153-2] Add [RES153] fifth-card 5 (5) to P=2 for (2+5) mod 10 = 7.
  • [RES153-3] Run [RES153] BANKER_TABLEAU[2][5]=true to settle 7 vs 7 (T).
SETTLEMENT & SCOREBOARD · RES153

Showdown Settlement & Scoreboard Logging for RES153 (7 vs 7)

[RES153-C2] Comparing [RES153] final totals (6c), Player 7 vs Banker 7 awards [RES153] to Tie (T), which pushes main [RES153] Player/Banker wagers while settling [RES153] Tie bets at 8:1 or 9:1 and appends T to BBPPPBBBBP.

[RES153-D7] Side-bet & road check for [RES153] (P2+5->7 vs B2->7, 6c): [RES153] leaves [RES153] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=7) and leaves [RES153] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES153] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES153, Banker 2 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 5 (value 5) via BANKER_TABLEAU[2][5] = true.
MythBecause RES153 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
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