Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Resolution #137
FINAL TOTAL RESOLUTION [RES137] · 6-CARD PROOF

Player 4 + 2 (2) vs. Banker 2 (Draws 6 (6)): 6-Card Resolution #137

In walkthrough RES137, Player opens with 2+2 (4) and draws fifth-card 2 (2) for a modulo-10 total of 6, while Banker opens with 10+2 (2) and draws sixth-card 6 (6) for 8 (6-card B outcome).

RES137 Player Path
P:4->6
RES137 Banker Path
B:2->8
RES137 Deal Length
6 Cards
RES137 Showdown
B (6v8)
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 RES137 (P4+2->6 vs B2->8).

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

RES137 Four-Card Opening Deal
Player 2+2=4 vs Banker 10+2=2

Verified non-natural start via handTotal([2,2])=4 and handTotal([10,2])=2.

RES137 Fifth-Card Modulo Proof
(4 + 2) mod 10 = 6 via 2

Player draws fifth-card 2 (value 2), transforming two-card 4 into three-card 6.

RES137 Banker Tableau Lookup
BANKER_TABLEAU[2][2] = true

Banker 2 draws sixth-card 6 (6) so (2+6) mod 10 = 8.

RES137 Card Count & Winner
6 Cards -> B (6 vs 8)

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

RES137 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 · RES137

Step-by-Step Card Arithmetic for RES137: P(2+2)+2 vs B(10+2)

Shoe deal [RES137] places 2+2 (4) on Player and 10+2 (2) on Banker; because 4 is below 6, Player draws 2 (2) and 6 truncates the decimal tens place to 6.

[RES137-B] Triggered by 2 (2) in [RES137] (2-point mandatory draw band), Banker 2 receives 6 (6) and computes (2+6) mod 10 = 8.

Complete 6-Card Resolution Trace for RES137
RES137 StageRES137 CardsRES137 Modulo MathRES137 Status
[RES137:Init]P(2+2)=4 vs B(10+2)=2playerShouldDraw(4)=true4-Card Deal
[RES137:5th]Player +2 (2)(4+2) mod 10 = 65th Card Sideways
[RES137:6th]Banker +6 (6)(2+6) mod 10 = 86-Card Final
[RES137:Settle]P=6 vs B=8Winner: BBig Road +B
  • [RES137-1] Confirm [RES137] opening P=4 (2+2) and B=2 (10+2) lack Natural 8/9.
  • [RES137-2] Add [RES137] fifth-card 2 (2) to P=4 for (4+2) mod 10 = 6.
  • [RES137-3] Run [RES137] BANKER_TABLEAU[2][2]=true to settle 6 vs 8 (B).
SETTLEMENT & SCOREBOARD · RES137

Showdown Settlement & Scoreboard Logging for RES137 (6 vs 8)

[RES137-C10] Comparing [RES137] final totals (6c), Player 6 vs Banker 8 awards [RES137] to Banker (B), which pays 0.95:1 on 5%-commission [RES137] layouts (or 0.5:1 on 6 at No-Commission [RES137] tables) and appends B to BBPPPBBBBP.

[RES137-D6] Side-bet & road check for [RES137] (P4+2->6 vs B2->8, 6c): [RES137] leaves [RES137] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=8) and leaves [RES137] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES137] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES137, Banker 2 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[2][2] = true.
MythBecause RES137 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

Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.

  • 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