A9s vs KJs: preflop equity

In equity, A9s against KJs stands at 57.41% to 42.59%, a gap of 14.82 points.

A9s

57.41%

Wins 57.16%, ties 0.50%

KJs

42.59%

Wins 42.34%, ties 0.50%

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

A9s against KJs: the numbers

Exact preflop results for A9s against KJs, in percent
HandWinsTiesLosesEquity
A9s57.1620.50242.33657.413
KJs42.3360.50257.16242.587

A9s and KJs are both suited hands. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

A 14.82 point lead is real, and KJs still takes about 423 of every 1,000 deals outright. About 0.50% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

For context, A9s sits at number 18 of 169 starting hands and KJs at number 20 when each is run against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A9s15,661,000138,00011,599,000
KJs11,599,000138,00015,661,000

The total is exact: 16 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

A9s against KJs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A9s1.3481.7492.3620.742
KJs0.7422.3621.7491.348

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

If you know the kind of flop that came, the numbers shift: A9s holds 74.49% on low rainbow flops (nine high or lower) and 51.57% on rainbow flops topped by a ten or better. A9s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

A9s against KJs by flop texture, in percent
FlopShare of flopsA9s winsTiesKJs winsA9s equity
Rainbow, ten or higher23.86751.5130.12148.36651.573
Rainbow, nine or lower7.04274.0350.91625.04974.493
Two-tone46.72756.0700.26643.66456.203
Monotone5.27352.9383.41143.65154.644
Paired17.09162.3890.61236.99962.695

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

How much does the opponent matter? Compared with its random-hand 62.78%, A9s changes by -5.37 points, and KJs, from 62.57%, by -19.98.

A9s and KJs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A9s, all flops57.41362.781-5.3680.91450
A9s, rainbow, ten or higher51.57362.781-11.2080.82147
A9s, rainbow, nine or lower74.49362.781+11.7121.18655
A9s, two-tone56.20362.781-6.5780.89522
A9s, monotone54.64462.781-8.1370.87039
A9s, paired62.69562.781-0.0860.99863
KJs, all flops42.58762.567-19.9800.68066
KJs, rainbow, ten or higher48.42762.567-14.1400.77400
KJs, rainbow, nine or lower25.50762.567-37.0600.40767
KJs, two-tone43.79762.567-18.7700.70000
KJs, monotone45.35662.567-17.2110.72492
KJs, paired37.30562.567-25.2620.59624

Does a shared suit matter?

When the hands share a suit, A9s holds 59.38%; when they do not, it holds 56.76%. A9s does better with a shared suit, by 2.62 points.

A9s against KJs by suit overlap, in percent
DealsSpecific dealsShare of dealsA9s winsTiesKJs winsA9s equity
Share a suit425.0059.0860.58040.33459.376
No shared suit1275.0056.5210.47643.00356.759

How often this matchup comes up

This page stands for 16 specific-card matchups (0.0010% of 1,624,350 ordered deals), or 32 once you count the seats both ways (0.0020%).

A worked example

Put $100 each into a $200 pot and deal every board once: A9s averages $114.82 back, ahead of its $100 by $14.82, while KJs averages $85.18, short of its $100 by $14.82.

Out of 1,000 deals you should see around 572 outright wins for A9s, 423 for KJs, and 5 split pots.

The same matchup from the other side

Swap the hands and you get KJs with 42.59% against A9s with 57.41%. We keep one page per matchup, with the better-ranked hand first.

Open the calculator with As9s against KhJh already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.

How this was computed

We counted every case. Each suit pattern of the 16 specific A9s against KJs deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.

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

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