Daily puzzles for 2026-10-09

Slot 1: find-the-nuts

The nuts on each street.

Flop board: Jd, Ad, Th
Flop nuts: Qc, Kc or Qc, Kd or Qc, Kh or Qc, Ks or Qd, Kc or Qd, Kd or Qd, Kh or Qd, Ks or Qh, Kc or Qh, Kd or Qh, Kh or Qh, Ks or Qs, Kc or Qs, Kd or Qs, Kh or Qs, Ks
Flop why: A straight: no other two-card holding beats this board.
Turn board: Jd, Ad, Th, 3h
Turn nuts: Qc, Kc or Qc, Kd or Qc, Kh or Qc, Ks or Qd, Kc or Qd, Kd or Qd, Kh or Qd, Ks or Qh, Kc or Qh, Kd or Qh, Kh or Qh, Ks or Qs, Kc or Qs, Kd or Qs, Kh or Qs, Ks
Turn why: A straight: no other two-card holding beats this board.
River board: Jd, Ad, Th, 3h, 9s
River nuts: Qc, Kc or Qc, Kd or Qc, Kh or Qc, Ks or Qd, Kc or Qd, Kd or Qd, Kh or Qd, Ks or Qh, Kc or Qh, Kd or Qh, Kh or Qh, Ks or Qs, Kc or Qs, Kd or Qs, Kh or Qs, Ks
River why: A straight: no other two-card holding beats this board.

True outs: 6.

Your hand: 7s, 5d
Villain: 6c, Ad
Flop: Th, Qd, 2s
What counts as an out: An out is a card that takes you from behind to in front. Cards that improve your hand but still lose to villain do not count. That gap is where most outs miscounts come from.
True outs: 6

Correct action: Call.

Pot: 50 BB
Bet: 38 BB
To call: 38 BB
Required equity: call / (pot + bet + call) = 38 / (50 + 38 + 38) = 38/126 = 30.2%
Your hand: 9c, 3s
Villain: Ts, Qs
Flop: 3h, Ac, 2c
Verdict: 77.1% clears the 30.2% you need, so calling wins chips long-run.

Hand B wins.

Correct action: Fold.

Seat A shoves: 13,000 chips
Seat B stack: 9,000 chips
Dead money already in the pot: 1,800 chips
Win probability if called: 50.0%
Chip-EV of calling: 900 chips
Chip-EV of folding: 0 chips
Verdict: $EV(call) -24.44 falls short of $EV(fold) 0.00, with a risk premium of $24.44. Chip-EV alone would say call. The ICM risk is what flips it to a fold.