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Pair vs Overcards: Who Is the Favorite, and by How Much

A pair vs overcards is close to a coin flip before the flop: 99 against AK offsuit has 55.7% equity, 22 has 53%. Against AK suited the margin shrinks, and 22 even becomes a slight underdog at 49.9%. Once the flop misses AK, the pair takes over: 74.4% on a low flop, 86.4% after a blank turn.

A pair facing a 3‑bet

You open 99 under the gun to 2.5 big blinds at 100 big blinds deep; everyone folds to the big blind, who 3‑bets to 11. Fold, call, 4‑bet or jam?

See the answer

Against AK. 55.7% against offsuit, 52.4% against suited: a race.

The decision. A 3‑bet range also holds overpairs that crush 99. The expected answer is still to call: in position and 100 big blinds deep, 99 is still in a race against the overcards and can flop a set to win a big pot against the overpairs, without bloating the pot with a 4‑bet.

Pairs from 22 to KK against AK, before the flop

Pairvs AK offsuitvs AK suited
2♣2♦53%49.9%
4♣4♦54.4%51.2%
7♣7♦55.4%52.1%
9♠9♣55.7%52.4%
T♣T♦57.3%53.9%
J♣J♦57.3%53.9%
Q♣Q♦57.2%53.8%
K♣K♦, AK's king nearly dead70%65.9%

When the flop misses the overcards

Board9♠9♣ vs A♥K♦
preflop55.7%
flop 7♦ 4♣ 2♠74.4%
turn T♥86.4%
flop Q♦ J♣ 4♠, AK adds a gutshot60.4%
flop A♦ 7♣ 2♠, AK pairs8.8%

What the tables show

EffectExampleEquity
suited overcards gain about three points9♠9♣ vs AKo / vs AKs55.7% → 52.4%
the smallest pair loses its edge2♣2♦ vs A♠K♠49.9%
a bigger pair barely helpsJ♣J♦ and Q♣Q♦ vs AKo57.3% and 57.2%
a pair that matches an overcardK♣K♦ vs AKo70%
a flop that misses AK9♠9♣ on 7♦ 4♣ 2♠74.4%

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Sources

Frequently asked questions

Who wins between a pocket pair and two overcards?

The pair, slightly: 99 against AK offsuit has 55.7% equity before the flop. That near-even split is why the matchup is called a coin flip.

Is a small pair still the favorite against AK suited?

Barely, except the smallest: 22 against AK suited has 49.9%, so the suited overcards are a tiny favorite, while 44 is already back at 51.2%.

Does a bigger pair do better against AK?

Only a little: JJ and QQ both stay around 57% against AK offsuit, because a paired ace or king beats any of them.

How we made this page

The spots come from our library of 647 puzzles. Their expected answers follow rules we wrote and explain on each puzzle; they are not solver outputs. 20 figures on this page are recomputed from the cards by our automated tests. Written with the help of AI tools, then reviewed and checked by our team.

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