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NON-NATURAL MATCHUP [M5V7] · 100-BRANCH MATRIX

Player Starts 5 vs. Banker Starts 7 (M5V7): 100-Branch Resolution Matrix

When Player opens at 5 (2+3) and Banker opens at 7 (2+5) in matchup M5V7, neither side holds a Natural. Evaluating all 100 (fifth-card 0..9 × sixth-card 0..9) branches through resolveHand() yields 70 Banker wins, 20 Player wins, and 10 ties (0 four-card, 100 five-card, and 0 six-card branches).

Matchup M5V7 Start
P=5 vs B=7
M5V7 100-Branch Split
70B/20P/10T
M5V7 4c/5c/6c Branches
0/100/0
M5V7 Step 2 Action
P Draws
Engine-Verified Scoreboard · 34 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with the 100-branch matchup matrix M5V7 (Player 5 vs Banker 7).

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

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

  1. Column 2 goes down to Row 4, so use Rule 2: look 1 column 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.

Small Road Mark #3

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

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 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.

Cockroach Pig Mark #3

Column 5 has 1 bead. Column 2 has 4 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 4 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

Matchup M5V7 Initial Deal
Player 2+3=5 vs Banker 2+5=7

Non-natural 4-card opening verified via playerShouldDraw(5)=true.

M5V7 100-Branch Outcome Split
70 Banker / 20 Player / 10 Tie

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

M5V7 Card-Count Distribution
0 (4-card) / 100 (5-card) / 0 (6-card)

Branch counts by total cards dealt in matchup M5V7.

M5V7 Player Action Rule
Draws 5th Card on 5

Determines whether Banker 7 uses BANKER_TABLEAU[7][p3] or the null-stand rule.

M5V7 Banker Action Rule
Draws on 0/10 5th Cards

Exact Banker response profile in matchup M5V7.

EXACT 100-BRANCH ENUMERATION · M5V7

How Matchup M5V7 (Player 5 vs. Banker 7) Resolves Across Fifth & Sixth Cards

In matchup [M5V7], Player starts with 2+3=5 against Banker 2+5=7. Because P=5 is in 0–5, Player always draws the fifth card (0..9), shifting Player to 5..4 and prompting Banker 7 to consult BANKER_TABLEAU[7].

Summing all 100 (fifth 0..9 × sixth 0..9) branches for [M5V7] produces 70 Banker wins, 20 Player wins, and 10 ties across 0 four-card, 100 five-card, and 0 six-card outcomes.

Matchup M5V7 100-Branch Breakdown by Fifth Card Value (0–9)
M5V7 5th CardM5V7 Player PathM5V7 Banker PathM5V7 10-Branch B/P/TM5V7 Hand Size
[M5V7:5th=0] 10(0)[M5V7:P3] P:5+0->5[M5V7:BPat] B=7 stands[M5V7:Split] 10B/0P/0T[M5V7:Size] 5 cards
[M5V7:5th=1] A(1)[M5V7:P3] P:5+1->6[M5V7:BPat] B=7 stands[M5V7:Split] 10B/0P/0T[M5V7:Size] 5 cards
[M5V7:5th=2] 2(2)[M5V7:P3] P:5+2->7[M5V7:BPat] B=7 stands[M5V7:Split] 0B/0P/10T[M5V7:Size] 5 cards
[M5V7:5th=3] 3(3)[M5V7:P3] P:5+3->8[M5V7:BPat] B=7 stands[M5V7:Split] 0B/10P/0T[M5V7:Size] 5 cards
[M5V7:5th=4] 4(4)[M5V7:P3] P:5+4->9[M5V7:BPat] B=7 stands[M5V7:Split] 0B/10P/0T[M5V7:Size] 5 cards
[M5V7:5th=5] 5(5)[M5V7:P3] P:5+5->0[M5V7:BPat] B=7 stands[M5V7:Split] 10B/0P/0T[M5V7:Size] 5 cards
[M5V7:5th=6] 6(6)[M5V7:P3] P:5+6->1[M5V7:BPat] B=7 stands[M5V7:Split] 10B/0P/0T[M5V7:Size] 5 cards
[M5V7:5th=7] 7(7)[M5V7:P3] P:5+7->2[M5V7:BPat] B=7 stands[M5V7:Split] 10B/0P/0T[M5V7:Size] 5 cards
[M5V7:5th=8] 8(8)[M5V7:P3] P:5+8->3[M5V7:BPat] B=7 stands[M5V7:Split] 10B/0P/0T[M5V7:Size] 5 cards
[M5V7:5th=9] 9(9)[M5V7:P3] P:5+9->4[M5V7:BPat] B=7 stands[M5V7:Split] 10B/0P/0T[M5V7:Size] 5 cards
  • [M5V7-Rule1] Verify non-natural opening: P(2+3)=5 vs B(2+5)=7.
  • [M5V7-Rule2] Apply Player 0–5 draw rule first, then Banker 7 response.
  • [M5V7-Rule3] Audit 70B/20P/10T matrix total and record onto shoe PPBBBBPPB.
Table Reality Check

Myth vs. Truth

MythWhen Player starts with 5 against Banker 7 (M5V7), the higher two-card start always wins most branches.
TruthIn [M5V7], third-card draw rules shift the 100-branch total to 70B / 20P / 10T.
MythA 4-or-5-card finish in M5V7 forces a Blue break mark on Small Road.
TruthSmall Road compares Big Road column depths two columns back; card count in M5V7 never affects derived road color.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

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