KQo vs 97s: preflop equity

Counting every board, the equity split is 60.92% for KQo and 39.08% for 97s, so KQo leads by 21.84 points.

KQo

60.92%

Wins 60.60%, ties 0.65%

97s

39.08%

Wins 38.75%, ties 0.65%

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

KQo against 97s: the numbers

Exact preflop results for KQo against 97s, in percent
HandWinsTiesLosesEquity
KQo60.6000.64738.75360.924
97s38.7530.64760.60039.076

KQo, an offsuit hand, plays 97s, a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

The lead is steady rather than large, and the flop still has plenty of say in who wins. About 0.65% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

Among the 169 starting hands, KQo is number 23 and 97s is number 94 by strength against a random hand.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KQo49,807,000532,00031,851,000
97s31,851,000532,00049,807,000

48 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.

KQo against 97s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KQo1.5591.6502.5800.641
97s0.6412.5801.6501.559

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

By flop texture, KQo's equity runs from 36.97% on low rainbow flops (nine high or lower) up to 68.81% on rainbow flops topped by a ten or better. The lead reverses on low rainbow flops (nine high or lower): there 97s is the favorite even though KQo is ahead overall.

KQo against 97s by flop texture, in percent
FlopShare of flopsKQo winsTies97s winsKQo equity
Rainbow, ten or higher24.71768.6600.30331.03768.811
Rainbow, nine or lower6.31336.6410.66162.69836.972
Two-tone46.66759.2880.35440.35859.465
Monotone5.21257.8672.44439.68959.089
Paired17.09162.2111.39536.39462.909

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

Start from the random-hand figures, 61.46% for KQo and 49.12% for 97s. This opponent changes them by -0.54 and -10.04 points.

KQo and 97s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KQo, all flops60.92461.456-0.5320.99134
KQo, rainbow, ten or higher68.81161.456+7.3551.11968
KQo, rainbow, nine or lower36.97261.456-24.4840.60160
KQo, two-tone59.46561.456-1.9910.96760
KQo, monotone59.08961.456-2.3670.96148
KQo, paired62.90961.456+1.4531.02364
97s, all flops39.07649.118-10.0420.79555
97s, rainbow, ten or higher31.18949.118-17.9290.63498
97s, rainbow, nine or lower63.02849.118+13.9101.28320
97s, two-tone40.53549.118-8.5830.82526
97s, monotone40.91149.118-8.2070.83291
97s, paired37.09149.118-12.0270.75514

Does a shared suit matter?

The suit split reads 61.64% for KQo with a shared suit and 60.21% without one. KQo does better with a shared suit, by 1.43 points.

KQo against 97s by suit overlap, in percent
DealsSpecific dealsShare of dealsKQo winsTies97s winsKQo equity
Share a suit2450.0061.2950.68938.01661.640
No shared suit2450.0059.9050.60639.48960.208

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 48 are KQo in one seat and 97s in the other (0.0030%); with the seats swapped too, 96 (0.0059%).

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. KQo averages $121.84 from the $200, up $21.84; 97s averages $78.16, down $21.84.

Scaled to 1,000 deals, that is roughly 606 wins for KQo, 388 for 97s and 6 chopped pots.

The same matchup from the other side

Read it from the other side: 97s against KQo is the same matchup with the numbers swapped, so 97s holds 39.08% and KQo holds 60.92%. That address sends you back to this page.

Try KsQh against 9d7d 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 48 specific deals of KQo against 97s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.

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

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