KTo vs 98s: preflop equity

Dealt all in against each other, KTo takes 60.42% of the pot on average and 98s takes the other 39.58%.

KTo

60.42%

Wins 60.10%, ties 0.64%

98s

39.58%

Wins 39.26%, ties 0.64%

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

KTo against 98s: the numbers

Exact preflop results for KTo against 98s, in percent
HandWinsTiesLosesEquity
KTo60.1010.64439.25560.423
98s39.2550.64460.10139.577

The matchup pits an offsuit hand against a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

KTo is ahead, but 98s is far from dead: it takes 393 of every 1,000 deals outright. A split pot comes up on 0.64% of boards, so the wins and the equity differ by half of that.

By strength against a random hand, KTo holds place 33 of 169 and 98s holds place 83.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KTo49,397,000529,00032,264,000
98s32,264,000529,00049,397,000

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.

KTo against 98s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KTo1.5271.6642.5470.655
98s0.6552.5471.6641.527

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

If you know the kind of flop that came, the numbers shift: KTo holds 67.50% on rainbow flops topped by a ten or better and 38.92% on low rainbow flops (nine high or lower). 98s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.

KTo against 98s by flop texture, in percent
FlopShare of flopsKTo winsTies98s winsKTo equity
Rainbow, ten or higher24.71767.3300.32932.34167.495
Rainbow, nine or lower6.31338.6490.54360.80838.920
Two-tone46.66758.7100.34740.94358.884
Monotone5.21257.4082.43640.15658.626
Paired17.09162.1891.39936.41262.888

Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.

Compared with a random hand

A random hand would give KTo 59.74% and 98s 50.80%. Against each other the change is +0.68 points for KTo and -11.22 for 98s.

KTo and 98s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KTo, all flops60.42359.739+0.6841.01145
KTo, rainbow, ten or higher67.49559.739+7.7561.12983
KTo, rainbow, nine or lower38.92059.739-20.8190.65150
KTo, two-tone58.88459.739-0.8550.98569
KTo, monotone58.62659.739-1.1130.98137
KTo, paired62.88859.739+3.1491.05271
98s, all flops39.57750.801-11.2240.77906
98s, rainbow, ten or higher32.50550.801-18.2960.63985
98s, rainbow, nine or lower61.08050.801+10.2791.20234
98s, two-tone41.11650.801-9.6850.80935
98s, monotone41.37450.801-9.4270.81443
98s, paired37.11250.801-13.6890.73054

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common KTo has 61.09% equity, and with none in common it has 59.76%. KTo does better with a shared suit, by 1.33 points.

KTo against 98s by suit overlap, in percent
DealsSpecific dealsShare of dealsKTo winsTies98s winsKTo equity
Share a suit2450.0060.7470.68538.56861.090
No shared suit2450.0059.4550.60239.94359.756

How often this matchup comes up

Exactly 48 specific deals fit this matchup in one seat order, which is 0.0030% of 1,624,350; both orders together give 96, or 0.0059%.

A worked example

Put $100 each into a $200 pot and deal every board once: KTo averages $120.84 back, ahead of its $100 by $20.84, while 98s averages $79.16, short of its $100 by $20.84.

Run 1,000 deals and the tally comes out near 601 for KTo, 393 for 98s and 6 ties.

The same matchup from the other side

The mirror image, 98s against KTo, is 39.58% to 60.42%, and its address redirects to this page.

KsTh against 9d8d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.

How this was computed

Nothing here is simulated. The 48 deals of KTo against 98s 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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