Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Resolution #195
FINAL TOTAL RESOLUTION [RES195] · 6-CARD PROOF

Player 2 + 2 (2) vs. Banker 3 (Draws 9 (9)): 6-Card Resolution #195

In walkthrough RES195, Player opens with 10+2 (2) and draws fifth-card 2 (2) for a modulo-10 total of 4, while Banker opens with 9+4 (3) and draws sixth-card 9 (9) for 2 (6-card P outcome).

RES195 Player Path
P:2->4
RES195 Banker Path
B:3->2
RES195 Deal Length
6 Cards
RES195 Showdown
P (4v2)
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 RES195 (P2+2->4 vs B3->2).

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

RES195 Four-Card Opening Deal
Player 10+2=2 vs Banker 9+4=3

Verified non-natural start via handTotal([10,2])=2 and handTotal([9,4])=3.

RES195 Fifth-Card Modulo Proof
(2 + 2) mod 10 = 4 via 2

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

RES195 Banker Tableau Lookup
BANKER_TABLEAU[3][2] = true

Banker 3 draws sixth-card 9 (9) so (3+9) mod 10 = 2.

RES195 Card Count & Winner
6 Cards -> P (4 vs 2)

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

RES195 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

Big Eye Boy, Small Road, and Cockroach Pig compare Big Road column depths, not P vs B.

MODULO-10 ARITHMETIC · RES195

Step-by-Step Card Arithmetic for RES195: P(10+2)+2 vs B(9+4)

Hand record [RES195] tracks Player 2 (10+2) facing Banker 3 (9+4); with zero naturals on the felt, the fifth card 2 (worth 2) arrives and 4 calculates the mod-10 residue to 4.

[RES195-B] Acting on 2=2 inside [RES195], Banker 3 follows 3-point single-shade row (0..7, 9) and pulls 9 (9) for 3+9=12 -> 2.

Complete 6-Card Resolution Trace for RES195
RES195 StageRES195 CardsRES195 Modulo MathRES195 Status
[RES195:Init]P(10+2)=2 vs B(9+4)=3playerShouldDraw(2)=true4-Card Deal
[RES195:5th]Player +2 (2)(2+2) mod 10 = 45th Card Sideways
[RES195:6th]Banker +9 (9)(3+9) mod 10 = 26-Card Final
[RES195:Settle]P=4 vs B=2Winner: PBig Road +P
  • [RES195-1] Confirm [RES195] opening P=2 (10+2) and B=3 (9+4) lack Natural 8/9.
  • [RES195-2] Add [RES195] fifth-card 2 (2) to P=2 for (2+2) mod 10 = 4.
  • [RES195-3] Run [RES195] BANKER_TABLEAU[3][2]=true to settle 4 vs 2 (P).
SETTLEMENT & SCOREBOARD · RES195

Showdown Settlement & Scoreboard Logging for RES195 (4 vs 2)

[RES195-C3] Comparing [RES195] final totals (6c), Player 4 vs Banker 2 awards [RES195] to Player (P), which pays 1:1 even money on [RES195] Player boxes with zero commission deducted and appends P to BBPPPBBPBB.

[RES195-D8] Side-bet & road check for [RES195] (P2+2->4 vs B3->2, 6c): [RES195] leaves [RES195] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=2) and leaves [RES195] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES195] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES195, Banker 3 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[3][2] = true.
MythBecause RES195 resolves as P, the next derived-road mark must match P'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