Daily puzzles for 2026-10-31
Slot 1: icm
Correct action: Call.
- Seat D shoves: 1,000 chips
- Seat A stack: 11,000 chips
- Dead money already in the pot: 200 chips
- Win probability if called: 55.0%
- Chip-EV of calling: 210 chips
- Chip-EV of folding: 0 chips
- Verdict: $EV(call) 3.79 beats $EV(fold) 0.00, so calling is worth more in real money.
| Metric | Value |
|---|---|
| $EV(call) | $3.79 |
| $EV(fold) | $0.00 |
| Risk premium | $0.00 |
Slot 2: push-fold
Optimal action: Call.
- Stack: 8 BB
- Position: Big blind
- Structure: No antes
- Nash range: 49% of the grid calls at this depth (see the grid below).
| Action | EV (BB) |
|---|---|
| Call (optimal) | -0.34 |
| Fold | -1.00 |
Slot 3: find-the-nuts
The nuts on each street.
- Flop board: Ks, 3s, Qd
- Flop nuts: Kc, Kd or Kc, Kh or Kd, Kh
- Flop why: Three of a kind: no other two-card holding beats this board.
- Turn board: Ks, 3s, Qd, 5h
- Turn nuts: Kc, Kd or Kc, Kh or Kd, Kh
- Turn why: Three of a kind: no other two-card holding beats this board.
- River board: Ks, 3s, Qd, 5h, Kd
- River nuts: Qc, Kc or Qc, Kh or Qh, Kc or Qh, Kh or Qs, Kc or Qs, Kh
- River why: A full house: no other two-card holding beats this board.
Slot 4: equity
Rule-of-4 estimate: 24.0%.
- Your hand: Kh, 4s
- Villain: 6h, Ac
- Flop: 7s, 5c, 7c
- True outs: 6
- Rule of 4: outs × 4 = 6 × 4 = 24.0%
- Why: On the flop (two cards to come), each out is worth roughly 4% equity.
| Metric | Value |
|---|---|
| True outs | 6 |
| Multiplier | ×4 |
| Estimated equity | 24.0% |
Slot 5: pot-odds
Correct action: Call.
- Pot: 50 BB
- Bet: 13 BB
- To call: 13 BB
- Required equity: call / (pot + bet + call) = 13 / (50 + 13 + 13) = 13/76 = 17.1%
- Your hand: 2s, Qd
- Villain: 4d, Ad
- Flop: Qc, As, 9c
- Verdict: 18.4% clears the 17.1% you need, so calling wins chips long-run.
| Metric | Value |
|---|---|
| Required equity | 17.1% |
| Your equity | 18.4% |
| EV of calling | +0.97 BB |