Daily puzzles — 2026-08-11
Slot 1: equity
True outs: 3.
- Your hand: Ks, 7d
- Villain: 8c, Ac
- Flop: 4d, Ts, 8d
- 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 2: 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: 3c, 8c
- Villain: Js, Ks
- Flop: 6h, 6c, 3s
- Verdict: 69.6% clears the 33.3% you need, so calling wins chips long-run.
| Metric | Value |
|---|---|
| Required equity | 33.3% |
| Your equity | 69.6% |
| EV of calling | +3.26 BB |
Slot 3: hand-reading
Hand B wins.
- Hand A: 7c, Kd
- Hand B: 9c, 4d
- Board: 4c, 3s, As, Qs, 2h
Slot 4: icm
Correct action: Call.
- Seat D shoves: 2,000 chips
- Seat A stack: 15,000 chips
- Dead money already in the pot: 400 chips
- Win probability if called: 55.0%
- Chip-EV of calling: 420 chips
- Chip-EV of folding: 0 chips
- Verdict: $EV(call) 4.92 beats $EV(fold) 0.00, so calling is worth more in real money.
| Metric | Value |
|---|---|
| $EV(call) | $4.92 |
| $EV(fold) | $0.00 |
| Risk premium | $0.00 |
Slot 5: push-fold
Optimal action: Fold.
- Stack: 8 BB
- Position: Big blind
- Structure: No antes
- Nash range: 51% of the grid calls at this depth — see the grid below.
| Action | EV (BB) |
|---|---|
| Call | -1.16 |
| Fold (optimal) | -1.00 |