KJo vs 97s: preflop equity

Counting every board, the equity split is 60.80% for KJo and 39.20% for 97s, so KJo leads by 21.60 points.

KJo

60.80%

Wins 60.48%, ties 0.64%

97s

39.20%

Wins 38.88%, ties 0.64%

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

KJo against 97s: the numbers

Exact preflop results for KJo against 97s, in percent
HandWinsTiesLosesEquity
KJo60.4830.64038.87760.803
97s38.8770.64060.48339.197

KJo and 97s are an offsuit hand and a suited hand, in that order. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

The lead is steady rather than large, and the flop still has plenty of say in who wins. About 0.64% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

By strength against a random hand, KJo holds place 26 of 169 and 97s holds place 94.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KJo49,711,000526,00031,953,000
97s31,953,000526,00049,711,000

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.

KJo against 97s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KJo1.5511.6532.5720.645
97s0.6452.5721.6531.551

In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.

Who is ahead on which flops

Split by what the flop looks like, KJo peaks at 68.48% on rainbow flops topped by a ten or better and bottoms out at 37.26% on low rainbow flops (nine high or lower). On low rainbow flops (nine high or lower) the numbers flip and 97s is the one ahead.

KJo against 97s by flop texture, in percent
FlopShare of flopsKJo winsTies97s winsKJo equity
Rainbow, ten or higher24.71768.3280.30631.36668.481
Rainbow, nine or lower6.31336.9610.60062.43937.261
Two-tone46.66759.1210.34440.53559.293
Monotone5.21257.7492.43739.81458.968
Paired17.09162.3771.39936.22463.077

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

The table below sets each hand against its own random-hand baseline: a change of +0.23 points for KJo, from 60.57%, and -9.92 for 97s, from 49.12%.

KJo and 97s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KJo, all flops60.80360.569+0.2341.00386
KJo, rainbow, ten or higher68.48160.569+7.9121.13063
KJo, rainbow, nine or lower37.26160.569-23.3080.61518
KJo, two-tone59.29360.569-1.2760.97893
KJo, monotone58.96860.569-1.6010.97357
KJo, paired63.07760.569+2.5081.04141
97s, all flops39.19749.118-9.9210.79802
97s, rainbow, ten or higher31.51949.118-17.5990.64170
97s, rainbow, nine or lower62.73949.118+13.6211.27731
97s, two-tone40.70749.118-8.4110.82876
97s, monotone41.03249.118-8.0860.83538
97s, paired36.92349.118-12.1950.75172

Does a shared suit matter?

Two kinds of deal exist here. In 24 of them the hands share a suit and KJo holds 61.50%. In 24 they do not, and it holds 60.10%. KJo does better with a shared suit, by 1.40 points.

KJo against 97s by suit overlap, in percent
DealsSpecific dealsShare of dealsKJo winsTies97s winsKJo equity
Share a suit2450.0061.1610.68138.15861.502
No shared suit2450.0059.8040.59939.59760.104

How often this matchup comes up

How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are KJo against 97s, and 96 (0.0059%) if either hand may sit in either seat.

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average KJo takes back $121.60 of it, which is $21.60 more than it put in, and 97s takes back $78.40, $21.60 less than it put in.

Run 1,000 deals and the tally comes out near 605 for KJo, 389 for 97s and 6 ties.

The same matchup from the other side

The reversed view, 97s against KJo, shows 39.20% for 97s and 60.80% for KJo. It is the same count, so it redirects here.

The calculator link fills in KsJh against 9d7d, 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

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 48 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.

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

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