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Poker Odds & Math

Preflop All-In Odds: Matchup Math

Preflop all-in odds by matchup: the coin flip, dominated hands, and pair vs overcards. A verified equity table plus the counting behind each figure.

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Preflop all-in odds come down to a few repeating matchups, and knowing them turns “should I call this shove?” into a quick equity check. A pocket pair versus two overcards — the classic coin flip — is only about 55/45. A dominated hand like AQ against AK is a crushing 26% underdog. And the famous aces-over-kings cooler runs about 82/18. Learn the handful of shapes below and you’ll know your equity before the chips land.

The matchup equity table

These are the standard preflop equities (heads-up, all five community cards to come), rounded to what you’ll actually use:

MatchupExampleFavorite equityUnderdog equity
Pair vs lower pairAA vs KK~82%~18%
Pair vs two overcards (the flip)88 vs AKo~55%~45%
Pair vs one over, one under99 vs A8o~71%~29%
Pair vs two lower cardsQQ vs JTo~85%~15%
Dominated same high cardAK vs AQ~74%~26%
Two overcards vs two underAKo vs 72o~67%~33%
Pair vs its own overcard comboAA vs AKo~88%~12%

Why the coin flip is ~55/45

Take 88 vs AKo. The pair is already made; the AK must improve. AK’s main path is to pair the ace or the king — 6 outs (3 aces + 3 kings) across five community cards. Pairing one over card by the river happens a bit under half the time, and AK adds small extra equity from running straights, giving it about 43-45%.

The eights stay ahead whenever AK bricks, so they win ~55-57%. It’s called a flip because it’s nearly even — but the pair is always the slight favorite. This is equity in its rawest form: a made hand racing against live overcards.

Why domination is so brutal

Now AK vs AQ. They share an ace, which is the killer. The AQ can’t win just by pairing its ace — that pairs the king’s hand too and the king kicker plays. Effectively AQ must pair its queen (3 outs) or catch a lucky two-pair or straight, so it’s stuck around 26%, roughly 3 to 1 against.

Compare that to AK vs QJ (two live cards, no shared rank): the underdog there sits closer to 40%, because all four of its cards can pair to win. Sharing a card via blockers is what crushes the dominated hand’s outs.

Worked example: pricing a shove

You hold A♣ K♣ on the button. A tight player shoves for $100 into a pot that already has $30 (blinds + antes). You must call $100 to win $130 + your own $100 back — effectively risking $100 to win $130.

Your pot odds: $100 ÷ ($130 + $100) = $100 ÷ $230 = 43.5% needed to break even.

Now estimate equity by matchup. A tight player’s shoving range is mostly big pairs and AK:

  • vs QQ+ (pairs above your cards): you’re the ~45% underdog (flip, but you’re the overcards) — just under the price.
  • vs a smaller pair like TT: ~48% — essentially a flip, right at the price.
  • vs AQ or worse: you dominate at ~74% — a massive call.

Because AK is suited (add a couple points) and their range includes hands you crush, your blended equity clears the 43.5% you need. Call. Without the matchup table you’d be guessing; with it, the decision is arithmetic. Put it to work most in Texas Hold’em, where these all-ins come up constantly.

Quick rules to remember

  • Pair vs overcards ≈ 55/45 — the flip; the pair is always slightly ahead.
  • Pair vs pair ≈ 80/20 — about 4 to 1; the lower pair needs a set.
  • Dominated (shared high card) ≈ 26% — roughly 3 to 1 against; kicker must pair.
  • Two live cards vs two ≈ 60/40 — closer than domination because all four cards are live.
  • Suited adds ~2-4 points — factor in flush equity for the underdog.

The takeaway

Preflop all-in odds are just a small set of memorized matchups: the ~55/45 flip, the ~82/18 pair-over-pair cooler, the ~26% dominated dog, and the ~60/40 live-card race. Combine any of them with your pot odds and the call-or-fold decision answers itself. Build out the rest of the numbers in the poker odds and math hub.

Frequently asked

What are the odds of a coin flip in poker?

A classic coin flip is a pocket pair against two overcards, such as 88 versus AKo. The pair is a slight favorite at roughly 55% to 57%, and the overcards win about 43% to 45%. It's called a flip because it's close to even money.

How big a favorite is a pair over two overcards?

About 55% for the pair when both overcards can pair or make straights and flushes, and closer to 57% when the overcards are disconnected. The overcards need to pair one of their two cards, which happens a bit under half the time.

What are the odds when your hand is dominated?

A dominated hand like AQ against AK wins only about 26% of the time. Sharing a card cuts your outs, so you must usually pair your kicker to win, leaving you a heavy underdog at roughly 3 to 1 against.

Is aces versus kings really 80/20?

Close. Aces beat kings about 82% of the time preflop. Kings must usually flop a set or catch running cards, so it's slightly better than a straight 4 to 1 for the aces.

About the author

Solver-driven study, quantitative background · Reviewed by Elena Fowler, managing editor
Last updated 2025-12-04