K9s vs T8s: preflop equity

If K9s and T8s get all the chips in before the flop, K9s owns 60.55% of the pot in the long run and T8s owns 39.45%.

K9s

60.55%

Wins 60.21%, ties 0.69%

T8s

39.45%

Wins 39.10%, ties 0.69%

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

K9s against T8s: the numbers

Exact preflop results for K9s against T8s, in percent
HandWinsTiesLosesEquity
K9s60.2050.68839.10760.549
T8s39.1070.68860.20539.451

Here suited hands face each other, K9s on one side and T8s on the other. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Ties are part of the picture: 0.69% of boards end in a split pot, and each side counts that as half a win.

The hand ranking puts K9s at 29 and T8s at 73 out of 169 starting hands.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
K9s16,494,000188,00010,714,000
T8s10,714,000188,00016,494,000

Exact total: 16 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.

K9s against T8s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
K9s1.5351.6612.5570.652
T8s0.6522.5571.6611.535

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

The flop changes the picture. K9s does best on paired flops, at 64.06%, and worst on monotone flops, at 57.62%. K9s stays ahead on all five textures.

K9s against T8s by flop texture, in percent
FlopShare of flopsK9s winsTiesT8s winsK9s equity
Rainbow, ten or higher24.54360.7670.32538.90860.929
Rainbow, nine or lower6.36658.5210.52440.95558.783
Two-tone46.72759.4720.33340.19559.638
Monotone5.27355.8883.45840.65457.617
Paired17.09163.3641.38835.24864.058

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 59.99%, K9s changes by +0.56 points, and T8s, from 52.33%, by -12.88.

K9s and T8s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
K9s, all flops60.54959.988+0.5611.00935
K9s, rainbow, ten or higher60.92959.988+0.9411.01569
K9s, rainbow, nine or lower58.78359.988-1.2050.97991
K9s, two-tone59.63859.988-0.3500.99417
K9s, monotone57.61759.988-2.3710.96048
K9s, paired64.05859.988+4.0701.06785
T8s, all flops39.45152.334-12.8830.75383
T8s, rainbow, ten or higher39.07152.334-13.2630.74657
T8s, rainbow, nine or lower41.21752.334-11.1170.78758
T8s, two-tone40.36252.334-11.9720.77124
T8s, monotone42.38352.334-9.9510.80986
T8s, paired35.94252.334-16.3920.68678

Does a shared suit matter?

Two kinds of deal exist here. In 4 of them the hands share a suit and K9s holds 62.77%. In 12 they do not, and it holds 59.81%. K9s does better with a shared suit, by 2.96 points.

K9s against T8s by suit overlap, in percent
DealsSpecific dealsShare of dealsK9s winsTiesT8s winsK9s equity
Share a suit425.0062.3860.77336.84162.772
No shared suit1275.0059.4790.66039.86159.809

How often this matchup comes up

Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%.

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. K9s averages $121.10 from the $200, up $21.10; T8s averages $78.90, down $21.10.

A thousand deals look like this: K9s takes 602, T8s takes 391, 7 are ties.

The same matchup from the other side

Swap the hands and you get T8s with 39.45% against K9s with 60.55%. We keep one page per matchup, with the better-ranked hand first.

The calculator link fills in Ks9s against Th8h, 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

Nothing here is simulated. The 16 deals of K9s against T8s 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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