Daily puzzles — 2026-07-30
Slot 1: equity
True equity: 70.7%.
- Your hand: 9s, 8d
- Villain: Tc, Qc
- Flop: 8c, Ah, 4d
- 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: Call.
- Pot: 30 BB
- Bet: 15 BB
- To call: 15 BB
- Required equity: call / (pot + bet + call) = 15 / (30 + 15 + 15) = 15/60 = 25.0%
- Your hand: Ah, 3c
- Villain: Th, Qs
- Flop: 5c, 2d, Ks
- Verdict: 76.3% clears the 25.0% you need, so calling wins chips long-run.
| Metric | Value |
|---|---|
| Required equity | 25.0% |
| Your equity | 76.3% |
| EV of calling | +30.76 BB |
Slot 3: hand-reading
Hand A wins.
- Hand A: 9s, Kd
- Hand B: Jh, 2c
- Board: 8h, 3c, 6s, 5c, Kc
Slot 4: icm
Correct action: Call.
- Seat D shoves: 3,000 chips
- Seat B stack: 9,000 chips
- Dead money already in the pot: 600 chips
- Win probability if called: 50.0%
- Chip-EV of calling: 300 chips
- Chip-EV of folding: 0 chips
- Verdict: $EV(call) 0.72 beats $EV(fold) 0.00, so calling is worth more in real money.
| Metric | Value |
|---|---|
| $EV(call) | $0.72 |
| $EV(fold) | $0.00 |
| Risk premium | $0.00 |
Slot 5: push-fold
Optimal action: Call.
- Stack: 5 BB
- Position: Big blind
- Structure: No antes
- Nash range: 68% of the grid calls at this depth — see the grid below.
| Action | EV (BB) |
|---|---|
| Call (optimal) | -0.86 |
| Fold | -1.00 |