KTs vs K9o: preflop equity

In equity, KTs against K9o stands at 73.23% to 26.77%, a gap of 46.46 points.

KTs

73.23%

Wins 68.26%, ties 9.93%

K9o

26.77%

Wins 21.81%, ties 9.93%

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

KTs against K9o: the numbers

Exact preflop results for KTs against K9o, in percent
HandWinsTiesLosesEquity
KTs68.2619.93121.80873.227
K9o21.8089.93168.26126.773

The first hand is a suited hand; the second is an offsuit hand. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

KTs is well ahead, and K9o needs a specific kind of board to catch up. 9.93% of boards are ties, so the equity of each hand is its win rate plus half of that.

For context, KTs sits at number 22 of 169 starting hands and K9o at number 40 when each is run against a random hand.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KTs42,078,0006,122,00013,443,000
K9o13,443,0006,122,00042,078,000

The board total is exact, 36 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

KTs against K9o read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KTs2.7351.4654.5850.366
K9o0.3664.5851.4652.735

The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.

Who is ahead on which flops

KTs prefers rainbow flops topped by a ten or better, where it holds 77.37%, and likes low rainbow flops (nine high or lower) least, where it holds 64.53%. KTs stays ahead on all five textures.

KTs against K9o by flop texture, in percent
FlopShare of flopsKTs winsTiesK9o winsKTs equity
Rainbow, ten or higher23.90573.0378.67018.29377.372
Rainbow, nine or lower7.04263.2092.64734.14464.532
Two-tone46.52771.0326.91622.05274.490
Monotone5.19262.8837.40229.71566.584
Paired17.33457.90323.47918.61869.642

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

Compared with a random opponent, this matchup shifts KTs from 61.79% by +11.44 points and K9o from 57.81% by -31.04 points.

KTs and K9o here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KTs, all flops73.22761.789+11.4381.18511
KTs, rainbow, ten or higher77.37261.789+15.5831.25220
KTs, rainbow, nine or lower64.53261.789+2.7431.04439
KTs, two-tone74.49061.789+12.7011.20555
KTs, monotone66.58461.789+4.7951.07760
KTs, paired69.64261.789+7.8531.12709
K9o, all flops26.77357.812-31.0390.46310
K9o, rainbow, ten or higher22.62857.812-35.1840.39141
K9o, rainbow, nine or lower35.46857.812-22.3440.61351
K9o, two-tone25.51057.812-32.3020.44126
K9o, monotone33.41657.812-24.3960.57801
K9o, paired30.35857.812-27.4540.52512

Does a shared suit matter?

The suit split reads 73.01% for KTs with a shared suit and 73.33% without one. KTs does better with no shared suit, by 0.32 points.

KTs against K9o by suit overlap, in percent
DealsSpecific dealsShare of dealsKTs winsTiesK9o winsKTs equity
Share a suit1233.3367.99310.04221.96573.014
No shared suit2466.6768.3969.87521.72973.333

How often this matchup comes up

The class pair covers 36 combinations of specific cards in a fixed seat order, 0.0022% of 1,624,350, and 72 (0.0044%) in either order.

A worked example

Put $100 each into a $200 pot and deal every board once: KTs averages $146.46 back, ahead of its $100 by $46.46, while K9o averages $53.54, short of its $100 by $46.46.

Scaled to 1,000 deals, that is roughly 683 wins for KTs, 218 for K9o and 99 chopped pots.

The same matchup from the other side

K9o against KTs adds nothing new: it is 26.77% for K9o and 73.23% for KTs, the same figures reversed.

Try KsTs against Kh9d 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

This is an exact count with no sampling. For the 36 ways to deal one KTs and one K9o 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.

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