AJs vs K9o: preflop equity

The exact count puts AJs at 65.92% and K9o at 34.08% when the two hands see all five board cards.

AJs

65.92%

Wins 65.69%, ties 0.46%

K9o

34.08%

Wins 33.85%, ties 0.46%

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

AJs against K9o: the numbers

Exact preflop results for AJs against K9o, in percent
HandWinsTiesLosesEquity
AJs65.6900.45833.85265.919
K9o33.8520.45865.69034.081

The first hand is a suited hand; the second is an offsuit hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

A lead of 31.84 points is large but not decisive: K9o still takes about 338 of every 1,000 deals. The tie share is 0.46%: on those boards the pot is chopped and neither hand wins outright.

Ranked by equity against a random hand, AJs is number 11 of the 169 starting hands and K9o is number 40.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AJs53,991,000376,00027,823,000
K9o27,823,000376,00053,991,000

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.

AJs against K9o read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AJs1.9341.5222.9540.517
K9o0.5172.9541.5221.934

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

Split by what the flop looks like, AJs peaks at 68.63% on paired flops and bottoms out at 60.41% on low rainbow flops (nine high or lower). AJs stays ahead on all five textures.

AJs against K9o by flop texture, in percent
FlopShare of flopsAJs winsTiesK9o winsAJs equity
Rainbow, ten or higher23.98866.2320.12433.64466.294
Rainbow, nine or lower7.04259.9340.94839.11860.408
Two-tone46.66765.9220.28533.79366.065
Monotone5.21260.2712.37837.35161.460
Paired17.09168.3210.61231.06768.627

Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.

Compared with a random hand

Against one random hand instead, AJs holds 65.39% and K9o holds 57.81%. Facing each other changes that by +0.53 points for AJs and -23.73 points for K9o.

AJs and K9o here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AJs, all flops65.91965.393+0.5261.00804
AJs, rainbow, ten or higher66.29465.393+0.9011.01378
AJs, rainbow, nine or lower60.40865.393-4.9850.92377
AJs, two-tone66.06565.393+0.6721.01028
AJs, monotone61.46065.393-3.9330.93986
AJs, paired68.62765.393+3.2341.04945
K9o, all flops34.08157.812-23.7310.58951
K9o, rainbow, ten or higher33.70657.812-24.1060.58303
K9o, rainbow, nine or lower39.59257.812-18.2200.68484
K9o, two-tone33.93557.812-23.8770.58699
K9o, monotone38.54057.812-19.2720.66664
K9o, paired31.37357.812-26.4390.54267

Does a shared suit matter?

When the hands share a suit, AJs holds 65.69%; when they do not, it holds 66.15%. AJs does better with no shared suit, by 0.46 points.

AJs against K9o by suit overlap, in percent
DealsSpecific dealsShare of dealsAJs winsTiesK9o winsAJs equity
Share a suit2450.0065.4410.49934.06065.690
No shared suit2450.0065.9400.41733.64366.148

How often this matchup comes up

You will meet this exact matchup 0.0059% of the time in a random heads-up deal: 96 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. AJs averages $131.84 from the $200, up $31.84; K9o averages $68.16, down $31.84.

Per 1,000 deals: AJs wins about 657, K9o wins about 338, and about 5 end in a split pot.

The same matchup from the other side

The mirror image, K9o against AJs, is 34.08% to 65.92%, and its address redirects to this page.

The calculator link fills in AsJs against Kh9d, 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 48 specific deals of AJs against K9o, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.

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

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