Daily puzzles — 2026-08-17
Slot 1: equity
True equity: 44.6%.
- Your hand: 5h, 7s
- Villain: 9s, Ad
- Flop: 6c, 6d, 8h
- Rule of thumb: Each out is worth about 4% equity on the flop — useful for estimating a draw's equity at a glance.
Slot 2: pot-odds
Correct action: Fold.
- Pot: 5 BB
- Bet: 2 BB
- To call: 2 BB
- Required equity: call / (pot + bet + call) = 2 / (5 + 2 + 2) = 2/9 = 22.2%
- Your hand: 2c, 3c
- Villain: 7s, Ah
- Turn: Kc, 9s, 8s, 6h
- Verdict: 13.6% falls short of the 22.2% you need, so calling loses chips long-run.
| Metric | Value |
|---|---|
| Required equity | 22.2% |
| Your equity | 13.6% |
| EV of calling | -0.77 BB |
Slot 3: hand-reading
Hand A wins.
- Hand A: 3s, Jc
- Hand B: 7c, 4c
- Board: 6h, 5h, As, Qh, 5d
Slot 4: icm
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: 60.0%
- Chip-EV of calling: 2880 chips
- Chip-EV of folding: 0 chips
- Verdict: $EV(call) -0.05 falls short of $EV(fold) 0.00 — a risk premium of $0.05. Chip-EV alone would say call — the ICM risk is what flips it to a fold.
| Metric | Value |
|---|---|
| $EV(call) | $-0.05 |
| $EV(fold) | $0.00 |
| Risk premium | $0.05 |
Slot 5: push-fold
Optimal action: Call.
- Stack: 10 BB
- Position: Big blind
- Structure: 1 BB ante (BB)
- Nash range: 45% of the grid calls at this depth — see the grid below.
| Action | EV (BB) |
|---|---|
| Call (optimal) | -0.43 |
| Fold | -1.00 |