KK vs AJs

When KK and AJs get all in before the flop, KK wins 67.8% of the time and AJs takes 32.2%. Broken down, KK wins outright 67.6%, chops 0.4% and loses 32.0% — a margin of 35.6 points. Pair against one overcard — roughly 70/30 in the pair's favour.

The same matchup shifts depending on how the suits overlap. With no shared suit the number is 67.5% (for example Ks Kh against Ad Jd); with one shared suit it is 68.1% (Ks Kh against As Js). That is a spread of 0.65 points across the 24 distinct card combinations, and it comes almost entirely from whether the two hands are fighting over the same flush.

Add a third player holding a random hand and the split becomes KK 58.1%, AJs 28.4%, random 13.5%. KK gives up 9.7 points and AJs gives up 3.8, so the favourite loses more than the underdog does. Extra players always eat into the leader's share faster than into anyone else's.

Taken on their own, KK is worth 82.5% against a random hand (rank 2 of 169) and AJs is worth 65.4% (rank 11). The gap between them in the ranking is only 17.1 points, yet head to head the gap is 35.6 points — a reminder that a ranking table and a direct matchup are two different questions.

Framed as a run of one hundred identical all-ins, KK scoops roughly 68 pots, splits about one, and loses the remaining 32. Against eight random opponents rather than this one specific hand, KK would be down to 29.6% and AJs to 20.1%, so the shape of this particular confrontation matters far more than either hand's standing in the overall ranking.

From AJs's side, 32.2% is the break-even point for calling an all-in at 2.11:1 pot odds. Put another way, the call is profitable as long as the amount you have to put in is less than 32.2% of the pot you are playing for. KK holds the other 67.8% of that same pot.

Two caveats keep this figure honest. First, it is showdown equity across all 24 card combinations with five board cards still to come — there is no fold equity in it, so the value of shoving in practice is usually higher than the raw percentage suggests. Second, it assumes AJs really does hold exactly AJs; against the wider range a player would actually get all in with, KK's 67.8% moves. Use the individual pages for KK and AJs to see how each of them fares against all 168 other holdings before treating this single pairing as the whole picture.

When the three flop cards are out, KK is ahead 81.9% of the time and AJs 18.1%, and the two hands are never level on the flop. "Ahead" means the better best-five-card hand from the cards showing plus the two hole cards; draws are not counted.

When KK leads on the flop, AJs comes back on the turn and river 19.5% of the time. When AJs leads on the flop, KK turns it around 11.1% of the time. The hand in front holds on to win 81.6% of the time from the flop and 89.1% from the turn (level spots left out).

With the turn out, KK leads 74.9% and AJs 25.1%. Counted exhaustively, KK finishes with 67.79% equity (the 67.8% at the top of the page is a 200,000-hand simulation).