KK vs A9o: preflop equity

Dealt all in against each other, KK takes 71.64% of the pot on average and A9o takes the other 28.36%.

KK

71.64%

Wins 71.45%, ties 0.39%

A9o

28.36%

Wins 28.16%, ties 0.39%

Equity counts a tie as half a win. Exact over every board.

KK against A9o: the numbers

Exact preflop results for KK against A9o, in percent
HandWinsTiesLosesEquity
KK71.4490.38528.16671.642
A9o28.1660.38571.44928.358

One side is a pocket pair, the other is an offsuit hand. The pair sits between the other hand's two cards: one is higher and one is lower, so the pair is exposed to the higher card.

KK is well ahead, and A9o needs a specific kind of board to catch up. Ties are 0.39% of the outcomes here; each tied board gives both hands half the pot.

Among the 169 starting hands, KK is number 2 and A9o is number 25 by strength against a random hand.

Boards behind the percentages: 123,285,888 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KK88,087,000475,00034,725,000
A9o34,725,000475,00088,087,000

Exact total: 72 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.

KK against A9o read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KK2.5261.4003.5500.396
A9o0.3963.5501.4002.526

The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.

Who is ahead on which flops

Across the five flop textures KK's equity moves by 13.45 points, from 66.99% on monotone flops to 80.44% on low rainbow flops (nine high or lower). KK stays ahead on all five textures.

KK against A9o by flop texture, in percent
FlopShare of flopsKK winsTiesA9o winsKK equity
Rainbow, ten or higher23.98868.8240.18230.99468.915
Rainbow, nine or lower7.04279.8931.09119.01680.439
Two-tone46.48570.8420.37228.78671.028
Monotone5.15166.1141.74232.14466.985
Paired17.33474.8680.01025.12274.873

A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.

Compared with a random hand

Compared with a random opponent, this matchup shifts KK from 82.40% by -10.76 points and A9o from 60.77% by -32.41 points.

KK and A9o here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KK, all flops71.64282.396-10.7540.86948
KK, rainbow, ten or higher68.91582.396-13.4810.83639
KK, rainbow, nine or lower80.43982.396-1.9570.97625
KK, two-tone71.02882.396-11.3680.86203
KK, monotone66.98582.396-15.4110.81296
KK, paired74.87382.396-7.5230.90870
A9o, all flops28.35860.773-32.4150.46662
A9o, rainbow, ten or higher31.08560.773-29.6880.51149
A9o, rainbow, nine or lower19.56160.773-41.2120.32187
A9o, two-tone28.97260.773-31.8010.47672
A9o, monotone33.01560.773-27.7580.54325
A9o, paired25.12760.773-35.6460.41346

Does a shared suit matter?

When the hands share a suit, KK holds 71.68%; when they do not, it holds 71.46%. The two rows differ by only 0.22 points, so suits barely change this matchup.

KK against A9o by suit overlap, in percent
DealsSpecific dealsShare of dealsKK winsTiesA9o winsKK equity
Share a suit6083.3371.4780.40128.12171.678
No shared suit1216.6771.3070.30528.38871.460

How often this matchup comes up

You will meet this exact matchup 0.0089% of the time in a random heads-up deal: 144 of 1,624,350, counting either seat order.

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. KK averages $143.28 from the $200, up $43.28; A9o averages $56.72, down $43.28.

A thousand deals look like this: KK takes 714, A9o takes 282, 4 are ties.

The same matchup from the other side

The reversed view, A9o against KK, shows 28.36% for A9o and 71.64% for KK. It is the same count, so it redirects here.

The calculator link fills in KsKh against Ad9c, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.

How this was computed

Each figure is a complete count over boards. Take the 72 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.

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