Daily puzzles — 2026-08-23
Slot 1: equity
True outs: 6.
- Your hand: Jd, 3s
- Villain: 6d, Ah
- Flop: 5d, 2h, 8h
- 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
Slot 2: pot-odds
Correct action: Fold.
- Pot: 12 BB
- Bet: 3 BB
- To call: 3 BB
- Required equity: call / (pot + bet + call) = 3 / (12 + 3 + 3) = 3/18 = 16.7%
- Your hand: 6d, Js
- Villain: Td, Qs
- Flop: Ac, Kc, 3s
- Verdict: 12.3% falls short of the 16.7% you need, so calling loses chips long-run.
| Metric | Value |
|---|---|
| Required equity | 16.7% |
| Your equity | 12.3% |
| EV of calling | -0.79 BB |
Slot 3: hand-reading
Hand B wins.
- Hand A: 6h, Ac
- Hand B: 8h, 8d
- Board: 7c, Jh, 5d, Th, 7h
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: 55.0%
- Chip-EV of calling: 1890 chips
- Chip-EV of folding: 0 chips
- Verdict: $EV(call) -12.24 falls short of $EV(fold) 0.00 — a risk premium of $12.24. Chip-EV alone would say call — the ICM risk is what flips it to a fold.
| Metric | Value |
|---|---|
| $EV(call) | $-12.24 |
| $EV(fold) | $0.00 |
| Risk premium | $12.24 |
Slot 5: push-fold
Optimal action: Fold.
- Stack: 15 BB
- Position: Small blind
- Structure: No antes
- Nash range: 59% of the grid jams at this depth — see the grid below.
| Action | EV (BB) |
|---|---|
| Jam | -0.57 |
| Fold (optimal) | -0.50 |