Daily puzzles — 2026-07-31
Slot 1: pot-odds
Correct action: Call.
- Pot: 50 BB
- Bet: 25 BB
- To call: 25 BB
- Required equity: call / (pot + bet + call) = 25 / (50 + 25 + 25) = 25/100 = 25.0%
- Your hand: 6c, 7c
- Villain: 8d, Ac
- Flop: Th, 7h, Js
- Verdict: 61.2% clears the 25.0% you need, so calling wins chips long-run.
| Metric | Value |
|---|---|
| Required equity | 25.0% |
| Your equity | 61.2% |
| EV of calling | +36.21 BB |
Slot 2: hand-reading
Hand B wins.
- Hand A: Jh, 6h
- Hand B: 9d, Qc
- Board: Qd, 5s, 6d, 3h, Ad
Slot 3: icm
Correct action: Fold.
- Seat D shoves: 2,000 chips
- Seat C stack: 8,000 chips
- Dead money already in the pot: 400 chips
- Win probability if called: 45.0%
- Chip-EV of calling: -20 chips
- Chip-EV of folding: 0 chips
- Verdict: $EV(call) -2.99 falls short of $EV(fold) 0.00 — a risk premium of $2.99.
| Metric | Value |
|---|---|
| $EV(call) | $-2.99 |
| $EV(fold) | $0.00 |
| Risk premium | $2.99 |
Slot 4: push-fold
Optimal action: Jam.
- Stack: 8 BB
- Position: Small blind
- Structure: No antes
- Nash range: 79% of the grid jams at this depth — see the grid below.
| Action | EV (BB) |
|---|---|
| Jam (optimal) | -0.43 |
| Fold | -0.50 |
Slot 5: find-the-nuts
The nuts on each street.
- Flop board: Qd, 5s, 2h
- Flop nuts: Qc, Qh or Qc, Qs or Qh, Qs
- Flop why: Three of a kind — no other two-card holding beats this board.
- Turn board: Qd, 5s, 2h, 6d
- Turn nuts: 3c, 4c or 3c, 4d or 3c, 4h or 3c, 4s or 3d, 4c or 3d, 4d or 3d, 4h or 3d, 4s or 3h, 4c or 3h, 4d or 3h, 4h or 3h, 4s or 3s, 4c or 3s, 4d or 3s, 4h or 3s, 4s
- Turn why: A straight — no other two-card holding beats this board.
- River board: Qd, 5s, 2h, 6d, 8c
- River nuts: 7c, 9c or 7c, 9d or 7c, 9h or 7c, 9s or 7d, 9c or 7d, 9d or 7d, 9h or 7d, 9s or 7h, 9c or 7h, 9d or 7h, 9h or 7h, 9s or 7s, 9c or 7s, 9d or 7s, 9h or 7s, 9s
- River why: A straight — no other two-card holding beats this board.