Daily puzzles — 2026-07-29
Slot 1: find-the-nuts
The nuts on each street.
- Flop board: Kc, 9h, 7h
- Flop nuts: Kd, Kh or Kd, Ks or Kh, Ks
- Flop why: Three of a kind — no other two-card holding beats this board.
- Turn board: Kc, 9h, 7h, 5d
- Turn nuts: 6c, 8c or 6c, 8d or 6c, 8h or 6c, 8s or 6d, 8c or 6d, 8d or 6d, 8h or 6d, 8s or 6h, 8c or 6h, 8d or 6h, 8h or 6h, 8s or 6s, 8c or 6s, 8d or 6s, 8h or 6s, 8s
- Turn why: A straight — no other two-card holding beats this board.
- River board: Kc, 9h, 7h, 5d, Ts
- River nuts: Jc, Qc or Jc, Qd or Jc, Qh or Jc, Qs or Jd, Qc or Jd, Qd or Jd, Qh or Jd, Qs or Jh, Qc or Jh, Qd or Jh, Qh or Jh, Qs or Js, Qc or Js, Qd or Js, Qh or Js, Qs
- River why: A straight — no other two-card holding beats this board.
Slot 2: equity
True outs: 3.
- Your hand: 4s, Ts
- Villain: 8s, 9s
- Flop: Ac, 9h, 7d
- 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: 3
Slot 3: pot-odds
Correct action: Call.
- Pot: 3 BB
- Bet: 3 BB
- To call: 3 BB
- Required equity: call / (pot + bet + call) = 3 / (3 + 3 + 3) = 3/9 = 33.3%
- Your hand: 9d, 7s
- Villain: Kh, As
- Flop: Qh, 2s, 9c
- Verdict: 76.3% clears the 33.3% you need, so calling wins chips long-run.
| Metric | Value |
|---|---|
| Required equity | 33.3% |
| Your equity | 76.3% |
| EV of calling | +3.86 BB |
Slot 4: hand-reading
Hand B wins.
- Hand A: 4d, Js
- Hand B: 7c, Ac
- Board: 7d, Qs, 5d, 4s, Ad
Slot 5: icm
Correct action: Call.
- Seat C shoves: 3,000 chips
- Seat B stack: 8,000 chips
- Dead money already in the pot: 600 chips
- Win probability if called: 60.0%
- Chip-EV of calling: 960 chips
- Chip-EV of folding: 0 chips
- Verdict: $EV(call) 13.38 beats $EV(fold) 0.00, so calling is worth more in real money.
| Metric | Value |
|---|---|
| $EV(call) | $13.38 |
| $EV(fold) | $0.00 |
| Risk premium | $0.00 |