KTo vs T9o: preflop equity

Dealt all in against each other, KTo takes 71.52% of the pot on average and T9o takes the other 28.48%.

KTo

71.52%

Wins 69.91%, ties 3.21%

T9o

28.48%

Wins 26.88%, ties 3.21%

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

KTo against T9o: the numbers

Exact preflop results for KTo against T9o, in percent
HandWinsTiesLosesEquity
KTo69.9113.21426.87571.518
T9o26.8753.21469.91128.482

KTo meets T9o, and both are offsuit hands. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

That is a clear edge, 71.52% to 28.48%, but T9o still wins often enough that one hand proves nothing. About 3.21% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

Place 33 of 169 belongs to KTo and place 78 belongs to T9o in the ranking against a random hand.

Boards behind the percentages: 184,928,832 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KTo129,286,0005,944,00049,700,000
T9o49,700,0005,944,000129,286,000

Exact total: 108 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.

KTo against T9o read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KTo2.5111.4303.7210.398
T9o0.3983.7211.4302.511

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

Across the five flop textures KTo's equity moves by 17.59 points, from 57.64% on low rainbow flops (nine high or lower) to 75.23% on paired flops. KTo stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

KTo against T9o by flop texture, in percent
FlopShare of flopsKTo winsTiesT9o winsKTo equity
Rainbow, ten or higher24.00373.5582.91723.52575.017
Rainbow, nine or lower7.04256.2182.84840.93457.642
Two-tone46.47769.3812.81527.80470.788
Monotone5.14466.5283.50629.96668.281
Paired17.33472.8484.75822.39475.227

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

Compared with a random hand

The table below sets each hand against its own random-hand baseline: a change of +11.78 points for KTo, from 59.74%, and -23.05 for T9o, from 51.53%.

KTo and T9o here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KTo, all flops71.51859.739+11.7791.19717
KTo, rainbow, ten or higher75.01759.739+15.2781.25575
KTo, rainbow, nine or lower57.64259.739-2.0970.96490
KTo, two-tone70.78859.739+11.0491.18495
KTo, monotone68.28159.739+8.5421.14299
KTo, paired75.22759.739+15.4881.25926
T9o, all flops28.48251.532-23.0500.55271
T9o, rainbow, ten or higher24.98351.532-26.5490.48481
T9o, rainbow, nine or lower42.35851.532-9.1740.82197
T9o, two-tone29.21251.532-22.3200.56687
T9o, monotone31.71951.532-19.8130.61552
T9o, paired24.77351.532-26.7590.48073

Does a shared suit matter?

When the hands share a suit, KTo holds 71.68%; when they do not, it holds 70.95%. KTo does better with a shared suit, by 0.73 points.

KTo against T9o by suit overlap, in percent
DealsSpecific dealsShare of dealsKTo winsTiesT9o winsKTo equity
Share a suit8477.7870.0573.24326.70071.679
No shared suit2422.2269.3993.11127.49070.954

How often this matchup comes up

This page stands for 108 specific-card matchups (0.0066% of 1,624,350 ordered deals), or 216 once you count the seats both ways (0.0133%).

A worked example

With $100 from each side, the $200 pot is split on average as $143.04 for KTo and $56.96 for T9o; the first side gains $43.04 per all-in and the second gives up $43.04.

Run 1,000 deals and the tally comes out near 699 for KTo, 269 for T9o and 32 ties.

The same matchup from the other side

Swap the hands and you get T9o with 28.48% against KTo with 71.52%. We keep one page per matchup, with the better-ranked hand first.

Open the calculator with KsTh against Td9c 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

Nothing here is simulated. The 108 deals of KTo against T9o fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.

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

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