Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rules Chart
  3. Player 7 vs Banker 4
NON-NATURAL MATCHUP [M7V4] · 100-BRANCH MATRIX

Player Starts 7 vs. Banker Starts 4 (M7V4): 100-Branch Resolution Matrix

When Player opens at 7 (2+5) and Banker opens at 4 (2+2) in matchup M7V4, neither side holds a Natural. Evaluating all 100 (fifth-card 0..9 × sixth-card 0..9) branches through resolveHand() yields 20 Banker wins, 70 Player wins, and 10 ties (0 four-card, 100 five-card, and 0 six-card branches).

Matchup M7V4 Start
P=7 vs B=4
M7V4 100-Branch Split
20B/70P/10T
M7V4 4c/5c/6c Branches
0/100/0
M7V4 Step 2 Action
P Stands
Engine-Verified Scoreboard · 34 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with the 100-branch matchup matrix M7V4 (Player 7 vs Banker 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 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 3. Column 2 stopped at Row 2, one row above → blue (≠).

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

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.

Cockroach Pig Mark #3

Column 4 has 3 beads. Column 1 has 4 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 3 beads. Column 1 has 4 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

Matchup M7V4 Initial Deal
Player 2+5=7 vs Banker 2+2=4

Non-natural 4-card opening verified via playerShouldDraw(7)=false.

M7V4 100-Branch Outcome Split
20 Banker / 70 Player / 10 Tie

Exact enumeration across all 100 (fifthCard 0..9 × sixthCard 0..9) value pairs.

M7V4 Card-Count Distribution
0 (4-card) / 100 (5-card) / 0 (6-card)

Branch counts by total cards dealt in matchup M7V4.

M7V4 Player Action Rule
Stands Pat on 2-Card 7

Determines whether Banker 4 uses BANKER_TABLEAU[4][p3] or the null-stand rule.

M7V4 Banker Action Rule
Always Draws 5th Card on 4

Exact Banker response profile in matchup M7V4.

EXACT 100-BRANCH ENUMERATION · M7V4

How Matchup M7V4 (Player 7 vs. Banker 4) Resolves Across Fifth & Sixth Cards

In matchup [M7V4], Player starts with 2+5=7 against Banker 2+2=4. Because P=7 stands on 6–7 while B=4 is in 0–5, Player takes no third card and Banker 4 draws the fifth card to finish in 5 cards.

Summing all 100 (fifth 0..9 × sixth 0..9) branches for [M7V4] produces 20 Banker wins, 70 Player wins, and 10 ties across 0 four-card, 100 five-card, and 0 six-card outcomes.

Matchup M7V4 100-Branch Breakdown by Fifth Card Value (0–9)
M7V4 5th CardM7V4 Player PathM7V4 Banker PathM7V4 10-Branch B/P/TM7V4 Hand Size
[M7V4:5th=0] 10(0)[M7V4:PPat] P stands at 7[M7V4:B5th] B:4+0->4[M7V4:Split] 0B/10P/0T[M7V4:Size] 5 cards
[M7V4:5th=1] A(1)[M7V4:PPat] P stands at 7[M7V4:B5th] B:4+1->5[M7V4:Split] 0B/10P/0T[M7V4:Size] 5 cards
[M7V4:5th=2] 2(2)[M7V4:PPat] P stands at 7[M7V4:B5th] B:4+2->6[M7V4:Split] 0B/10P/0T[M7V4:Size] 5 cards
[M7V4:5th=3] 3(3)[M7V4:PPat] P stands at 7[M7V4:B5th] B:4+3->7[M7V4:Split] 0B/0P/10T[M7V4:Size] 5 cards
[M7V4:5th=4] 4(4)[M7V4:PPat] P stands at 7[M7V4:B5th] B:4+4->8[M7V4:Split] 10B/0P/0T[M7V4:Size] 5 cards
[M7V4:5th=5] 5(5)[M7V4:PPat] P stands at 7[M7V4:B5th] B:4+5->9[M7V4:Split] 10B/0P/0T[M7V4:Size] 5 cards
[M7V4:5th=6] 6(6)[M7V4:PPat] P stands at 7[M7V4:B5th] B:4+6->0[M7V4:Split] 0B/10P/0T[M7V4:Size] 5 cards
[M7V4:5th=7] 7(7)[M7V4:PPat] P stands at 7[M7V4:B5th] B:4+7->1[M7V4:Split] 0B/10P/0T[M7V4:Size] 5 cards
[M7V4:5th=8] 8(8)[M7V4:PPat] P stands at 7[M7V4:B5th] B:4+8->2[M7V4:Split] 0B/10P/0T[M7V4:Size] 5 cards
[M7V4:5th=9] 9(9)[M7V4:PPat] P stands at 7[M7V4:B5th] B:4+9->3[M7V4:Split] 0B/10P/0T[M7V4:Size] 5 cards
  • [M7V4-Rule1] Verify non-natural opening: P(2+5)=7 vs B(2+2)=4.
  • [M7V4-Rule2] Apply Player 6–7 stand rule first, then Banker 4 response.
  • [M7V4-Rule3] Audit 20B/70P/10T matrix total and record onto shoe BBBBPPBPP.
Table Reality Check

Myth vs. Truth

MythWhen Player starts with 7 against Banker 4 (M7V4), the higher two-card start always wins most branches.
TruthIn [M7V4], third-card draw rules shift the 100-branch total to 20B / 70P / 10T.
MythA 4-or-5-card finish in M7V4 forces a Blue break mark on Small Road.
TruthSmall Road compares Big Road column depths two columns back; card count in M7V4 never affects derived road color.
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