KTs vs A9o: preflop equity

In equity, A9o against KTs stands at 54.67% to 45.33%, a gap of 9.34 points.

KTs

45.33%

Wins 45.11%, ties 0.45%

A9o

54.67%

Wins 54.44%, ties 0.45%

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

KTs against A9o: the numbers

Exact preflop results for KTs against A9o, in percent
HandWinsTiesLosesEquity
KTs45.1060.44954.44545.330
A9o54.4450.44945.10654.670

The matchup pits a suited hand against an offsuit hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

With only 9.34 points between them, the board decides this matchup far more than the cards in hand. The tie share is 0.45%: on those boards the pot is chopped and neither hand wins outright.

KTs ranks number 22 of 169 starting hands, and A9o ranks number 25, by equity against a random hand.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KTs37,073,000369,00044,749,000
A9o44,749,000369,00037,073,000

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.

KTs against A9o read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KTs0.8292.2171.8371.206
A9o1.2061.8372.2170.829

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: A9o holds 72.28% on low rainbow flops (nine high or lower) and 50.09% on rainbow flops topped by a ten or better. A9o stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

KTs against A9o by flop texture, in percent
FlopShare of flopsKTs winsTiesA9o winsKTs equity
Rainbow, ten or higher23.98849.8330.15450.01349.910
Rainbow, nine or lower7.04227.3290.78871.88327.723
Two-tone46.66747.3930.27352.33447.530
Monotone5.21246.1852.37151.44447.371
Paired17.09139.2200.61660.16439.528

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

Against one random hand instead, KTs holds 61.79% and A9o holds 60.77%. Facing each other changes that by -16.46 points for KTs and -6.10 points for A9o.

KTs and A9o here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KTs, all flops45.33061.789-16.4590.73363
KTs, rainbow, ten or higher49.91061.789-11.8790.80775
KTs, rainbow, nine or lower27.72361.789-34.0660.44867
KTs, two-tone47.53061.789-14.2590.76923
KTs, monotone47.37161.789-14.4180.76666
KTs, paired39.52861.789-22.2610.63973
A9o, all flops54.67060.773-6.1030.89958
A9o, rainbow, ten or higher50.09060.773-10.6830.82421
A9o, rainbow, nine or lower72.27760.773+11.5041.18929
A9o, two-tone52.47060.773-8.3030.86338
A9o, monotone52.62960.773-8.1440.86599
A9o, paired60.47260.773-0.3010.99505

Does a shared suit matter?

Looking only at deals where the hands share a suit, A9o has 55.13%; looking only at deals where they do not, 54.21%. A9o does better with a shared suit, by 0.92 points.

KTs against A9o by suit overlap, in percent
DealsSpecific dealsShare of dealsKTs winsTiesA9o winsKTs equity
Share a suit2450.0044.6230.48954.88844.867
No shared suit2450.0045.5890.40854.00345.793

How often this matchup comes up

Counting specific cards, KTs against A9o appears in 48 of the 1,624,350 ordered heads-up deals (0.0030%), and in 96 when the seats are swapped too (0.0059%).

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. A9o is worth $109.34 on average (+$9.34); KTs is worth $90.66 (-$9.34).

In 1,000 deals of exactly this matchup, expect about 544 won outright by A9o, about 451 won outright by KTs and about 5 split.

The same matchup from the other side

The mirror image, A9o against KTs, is 54.67% to 45.33%, and its address redirects to this page.

The calculator link fills in KsTs against Ah9d, 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

This is an exact count with no sampling. For the 48 ways to deal one KTs and one A9o without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.

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

Bring your own hands to a session

Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.

Book a session