Cooler in Poker: When a Strong Hand Loses Without a Mistake
A cooler is a spot where a very strong hand runs into a stronger one and the money goes in, because folding would have been the mistake. K♠K♥ against A♦A♣ before the flop has 18.7% equity; a set of sevens under a set of queens keeps 4.3%. Coolers are rare and they cost money, but they are results, not errors: the decision to play the hand was right.
Compute an equity
The classic coolers, computed
| Cooler | When | Equity of the losing hand |
|---|---|---|
| K♠K♥ vs A♦A♣ | before the flop | 18.7% |
| 7♦7♣ vs Q♠Q♥ on Q♦ 7♥ 2♣, set under set | on the flop | 4.3% |
| K♥9♥ vs A♥4♥ on Q♥ T♥ 2♥, flush under flush | on the flop | 4.4% |
Each line is an exact count over every remaining board. On the flop, the smaller set and the smaller flush are drawing almost dead: each wins only if one card comes, the last seven (7♠, four of a kind) or the J♥ (a straight flush).
How rare they are
- Set over set. When two players hold different pocket pairs, both flop at least a set on 1.04% of the flops: 180 of the 17,296 flops left with 7♦7♣ against Q♠Q♥, about one flop in 96.
- Kings into aces. Holding K♠K♥, one given opponent holds aces 0.49% of the time: 6 combinations among 1,225.
Rare, but over thousands of hands they will come. That is why a cooler is part of variance, not a sign that you played badly.
Cooler or mistake?
A cooler is a hand you would play the same way again. Folding K♠K♥ before the flop to avoid aces, or a set on a dry flop to avoid a bigger set, would give up far more expected value than the rare cooler costs. A bad beat is different: the losing hand was far ahead and an unlikely card turned it around; for the bigger set or flush above, the 7♠ or the J♥ would be a bad beat. The real mistake is calling off with a weak hand and blaming a cooler. Judge the decision, not the result, and keep coolers from turning into tilt.
Keep going
- Why a set is so hard to fold: set vs trips.
- The best possible hand on a board: the nuts in poker.
- What equity means: poker equity.
Sources
- Equities enumerated exactly over every remaining board; flop and combination counts done by enumeration.