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FINAL TOTAL RESOLUTION [RES305] · 5-CARD PROOF

Player 4 + 10 (0) vs. Banker 5 (Stands at 5): 5-Card Resolution #305

In walkthrough RES305, Player opens with 2+2 (4) and draws fifth-card 10 (0) for a modulo-10 total of 4, while Banker opens with A+4 (5) and stands pat at 5 (5-card B outcome).

RES305 Player Path
P:4->4
RES305 Banker Path
B:5->5
RES305 Deal Length
5 Cards
RES305 Showdown
B (4v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES305 (P4+0->4 vs B5->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 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 3.
  2. Column 3 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

  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 2 beads. Same depth → red (=).

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

RES305 Four-Card Opening Deal
Player 2+2=4 vs Banker A+4=5

Verified non-natural start via handTotal([2,2])=4 and handTotal([A,4])=5.

RES305 Fifth-Card Modulo Proof
(4 + 0) mod 10 = 4 via 10

Player draws fifth-card 10 (value 0), transforming two-card 4 into three-card 4.

RES305 Banker Tableau Lookup
BANKER_TABLEAU[5][0] = false

Banker 5 stands pat at 5 without pulling sixth-card A (1).

RES305 Card Count & Winner
5 Cards -> B (4 vs 5)

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

RES305 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 · RES305

Step-by-Step Card Arithmetic for RES305: P(2+2)+10 vs B(A+4)

Shoe deal [RES305] places 2+2 (4) on Player and A+4 (5) on Banker; because 4 is below 6, Player draws 10 (0) and 4 truncates the decimal tens place to 4.

[RES305-B] Five-card branch [RES305] ends as 10 (0) falls outside 5-point four-value window (4..7), keeping Banker 5 at 5 rather than 6 via A.

Complete 5-Card Resolution Trace for RES305
RES305 StageRES305 CardsRES305 Modulo MathRES305 Status
[RES305:Init]P(2+2)=4 vs B(A+4)=5playerShouldDraw(4)=true4-Card Deal
[RES305:5th]Player +10 (0)(4+0) mod 10 = 45th Card Sideways
[RES305:6th]Banker Stands (skip A=1)Locked at 55-Card Final
[RES305:Settle]P=4 vs B=5Winner: BBig Road +B
  • [RES305-1] Confirm [RES305] opening P=4 (2+2) and B=5 (A+4) lack Natural 8/9.
  • [RES305-2] Add [RES305] fifth-card 10 (0) to P=4 for (4+0) mod 10 = 4.
  • [RES305-3] Run [RES305] BANKER_TABLEAU[5][0]=false to settle 4 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES305

Showdown Settlement & Scoreboard Logging for RES305 (4 vs 5)

[RES305-C3] Comparing [RES305] final totals (5c), Player 4 vs Banker 5 awards [RES305] to Banker (B), which pays 0.95:1 on 5%-commission [RES305] layouts (or 0.5:1 on 6 at No-Commission [RES305] tables) and appends B to BBPPBPBBPP.

[RES305-D10] Side-bet & road check for [RES305] (P4+0->4 vs B5->5, 5c): [RES305] leaves [RES305] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=5) and leaves [RES305] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES305] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES305, Banker 5 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[5][0] = false.
MythBecause RES305 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
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