KJs vs A9o: preflop equity

The exact count puts A9o at 54.70% and KJs at 45.30% when the two hands see all five board cards.

KJs

45.30%

Wins 45.08%, ties 0.46%

A9o

54.70%

Wins 54.46%, ties 0.46%

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

KJs against A9o: the numbers

Exact preflop results for KJs against A9o, in percent
HandWinsTiesLosesEquity
KJs45.0750.45654.46945.303
A9o54.4690.45645.07554.697

The matchup pits a suited hand against an offsuit hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

With only 9.40 points between them, the board decides this matchup far more than the cards in hand. A split pot comes up on 0.46% of boards, so the wins and the equity differ by half of that.

In the ranking of all 169 starting hands, KJs is number 20 and A9o is number 25.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KJs37,047,000375,00044,768,000
A9o44,768,000375,00037,047,000

Exact total: 48 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.

KJs against A9o read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KJs0.8282.2191.8361.207
A9o1.2071.8362.2190.828

In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.

Who is ahead on which flops

The flop changes the picture. A9o does best on low rainbow flops (nine high or lower), at 73.06%, and worst on rainbow flops topped by a ten or better, at 49.93%. The overall edge for A9o hides rainbow flops topped by a ten or better, where KJs comes out in front.

KJs against A9o by flop texture, in percent
FlopShare of flopsKJs winsTiesA9o winsKJs equity
Rainbow, ten or higher23.98850.0120.12449.86450.074
Rainbow, nine or lower7.04226.4730.94472.58326.945
Two-tone46.66747.3550.28252.36347.496
Monotone5.21246.1632.37551.46247.351
Paired17.09139.2510.61260.13739.557

Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.

Compared with a random hand

Start from the random-hand figures, 62.57% for KJs and 60.77% for A9o. This opponent changes them by -17.27 and -6.07 points.

KJs and A9o here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KJs, all flops45.30362.567-17.2640.72407
KJs, rainbow, ten or higher50.07462.567-12.4930.80033
KJs, rainbow, nine or lower26.94562.567-35.6220.43066
KJs, two-tone47.49662.567-15.0710.75912
KJs, monotone47.35162.567-15.2160.75680
KJs, paired39.55762.567-23.0100.63223
A9o, all flops54.69760.773-6.0760.90002
A9o, rainbow, ten or higher49.92660.773-10.8470.82152
A9o, rainbow, nine or lower73.05560.773+12.2821.20210
A9o, two-tone52.50460.773-8.2690.86394
A9o, monotone52.64960.773-8.1240.86632
A9o, paired60.44360.773-0.3300.99457

Does a shared suit matter?

Does suit overlap move the numbers? A9o has 55.17% when the hands share a suit and 54.23% when they do not. A9o does better with a shared suit, by 0.94 points.

KJs against A9o by suit overlap, in percent
DealsSpecific dealsShare of dealsKJs winsTiesA9o winsKJs equity
Share a suit2450.0044.5850.49754.91844.833
No shared suit2450.0045.5640.41554.02145.772

How often this matchup comes up

How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are KJs against A9o, and 96 (0.0059%) if either hand may sit in either seat.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, A9o's average share is $109.40 (a gain of $9.40) and KJs' is $90.60 (a loss of $9.40).

Over a long run, 1,000 deals split into about 545 for A9o, 451 for KJs and 4 tied.

The same matchup from the other side

Read it from the other side: A9o against KJs is the same matchup with the numbers swapped, so A9o holds 54.70% and KJs holds 45.30%. That address sends you back to this page.

Try KsJs against Ah9d in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.

How this was computed

Method: exact enumeration. The 48 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.

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

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