Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rules Chart
  3. Banker Total 4 Rule
  4. Banker 4 vs Player 3rd Card 4
TABLEAU CELL [B4T4] · ENGINE VERIFIED

Banker 4 vs. Player Third Card 4 (B4T4): Why Banker Always Draws

In cell B4T4, a Banker holding two-card total 4 (2+2) faces a Player fifth card valued at 4 (4). Under BANKER_TABLEAU[4][4], the Banker DRAWS, resolving in 6 cards with a 15B / 39P / 6T split across the 60 (P0..P5 × 6th-card 0..9) branches.

Cell B4T4 Action
DRAW
B4T4 Card Count
6 Cards
B4T4 60-Branch B/P/T
15/39/6
Tableau Coordinates
B=4, P3=4
Engine-Verified Scoreboard · 34 Hands

Read the Board at Table Speed

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

Verified scoreboard paired with tableau cell B4T4 (Banker 4 vs Player 3rd card 4).

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 3 beads. Same depth → red (=).

  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 3 beads. Same depth → red (=).

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 3, one row above → blue (≠).

  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 3, one row above → blue (≠).

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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

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.

Verified Reference Data

Key Facts & Table Specifications

Cell B4T4 Tableau Lookup
true (Mandatory 6th Card)

Verified via bankerShouldDraw(4, 4) === true on pair 2+2.

Cell B4T4 60-Branch Matrix Split
15 Banker / 39 Player / 6 Tie

Exact resolution across 6 legal Player starts (0–5) × 10 sixth-card values (0–9).

Cell B4T4 Resulting Player Totals
0+4=4, 1+4=5, 2+4=6, 3+4=7, 4+4=8, 5+4=9

Three-card Player totals produced when fifth card 4 (4) lands on P0..P5.

Cell B4T4 Standing Comparison
0W / 1T / 5L

How standing Banker 4 fares against the 6 Player 3-card totals for P3=4.

Cell B4T4 Sample Audition Hand
B(2+2=4) vs P3=4(4) -> DRAW

Sample sixth card 9 (9) verified through resolveHand().

COMBINATORIAL PROOF · CELL B4T4

Cell B4T4 Analysis: Banker 4 (2+2) Facing Fifth-Card 4 (Value 4)

Under [B4T4], Banker holds two-card total 4 (2+2) while Player draws fifth-card 4 (point value 4) onto an initial 0–5 total. Across those six legal Player starts, [B4T4] produces three-card Player totals of P0+4->4, P1+4->5, P2+4->6, P3+4->7, P4+4->8, P5+4->9.

Because [B4T4] sits inside the active draw window for Banker 4, the dealer deals a sixth card to 2+2: across all 60 (P0..P5 × sixth-card 0..9) combinations in [B4T4], Banker captures 15 wins, Player captures 39 wins, and 6 branches tie.

Cell B4T4 Resolution Across All 6 Legal Player Starts (0–5) with Fifth Card 4 (4)
B4T4 Player StartB4T4 5th CardB4T4 Banker 4 ActionB4T4 10-Card SplitB4T4 Sample Result
[B4T4:P0] 10+K=0[B4T4:5th] +4(4) -> P=4[B4T4:6th] B=4 draws (+9->3)[B4T4:Split] 5B/4P/1T[B4T4:Cards] 6c (P)
[B4T4:P1] 7+4=1[B4T4:5th] +4(4) -> P=5[B4T4:6th] B=4 draws (+9->3)[B4T4:Split] 4B/5P/1T[B4T4:Cards] 6c (P)
[B4T4:P2] 10+2=2[B4T4:5th] +4(4) -> P=6[B4T4:6th] B=4 draws (+9->3)[B4T4:Split] 3B/6P/1T[B4T4:Cards] 6c (P)
[B4T4:P3] 9+4=3[B4T4:5th] +4(4) -> P=7[B4T4:6th] B=4 draws (+9->3)[B4T4:Split] 2B/7P/1T[B4T4:Cards] 6c (P)
[B4T4:P4] 2+2=4[B4T4:5th] +4(4) -> P=8[B4T4:6th] B=4 draws (+9->3)[B4T4:Split] 1B/8P/1T[B4T4:Cards] 6c (P)
[B4T4:P5] A+4=5[B4T4:5th] +4(4) -> P=9[B4T4:6th] B=4 draws (+9->3)[B4T4:Split] 0B/9P/1T[B4T4:Cards] 6c (P)
  • [B4T4-Step1] Verify neither side opened with 8 or 9 before evaluating Banker 4 (2+2).
  • [B4T4-Step2] Confirm Player drew fifth-card 4 (value 4) onto a 0–5 start.
  • [B4T4-Step3] Execute BANKER_TABLEAU[4][4] = true (DRAW at 6 cards).
FLOOR PROCEDURE & SIDE BETS · B4T4

How Cell B4T4 Governs Dragon 7, Panda 8, and Scoreboard Tracking

In 6-card cell [B4T4], Banker 4 (2+2) can reach a 3-card 7 (Dragon 7) by drawing rank 3 or a 3-card 6 (Super 6) by drawing rank 2 after Player's 4.

Once [B4T4] resolves (15B/39P/6T across 60 branches), the winning side logs to the Big Road on shoe BBBPPPBBBB.

Table Reality Check

Myth vs. Truth

MythIn cell B4T4, the dealer checks the Player's 3-card sum (7) before acting on Banker 4.
TruthCell B4T4 inspects only the fifth card's face value (4 from 4), ordering Banker 4 to draws.
MythWinning cell B4T4 guarantees a Red mark on Big Eye Boy and Small Road.
TruthOn derived roads, Red (=) means the Big Road column pattern repeated and Blue (≠) means it broke—never Banker vs 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