KTs vs 97s: preflop equity

Averaged over every possible board, KTs is ahead of 97s by 26.84 points of equity, 63.42% to 36.58%.

KTs

63.42%

Wins 63.09%, ties 0.67%

97s

36.58%

Wins 36.24%, ties 0.67%

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

KTs against 97s: the numbers

Exact preflop results for KTs against 97s, in percent
HandWinsTiesLosesEquity
KTs63.0850.67036.24563.420
97s36.2450.67063.08536.580

Both hands are suited hands: KTs and 97s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

KTs is ahead, but 97s is far from dead: it takes 362 of every 1,000 deals outright. Of every 100 boards, about 0.67 are split pots, and the equity figures already include them.

The hand ranking puts KTs at 22 and 97s at 94 out of 169 starting hands.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KTs17,283,000184,0009,930,000
97s9,930,000184,00017,283,000

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.

KTs against 97s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KTs1.7341.5852.7590.577
97s0.5772.7591.5851.734

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: KTs holds 69.83% on rainbow flops topped by a ten or better and 40.30% on low rainbow flops (nine high or lower). Low rainbow flops (nine high or lower) favor 97s, the hand that is behind overall.

KTs against 97s by flop texture, in percent
FlopShare of flopsKTs winsTies97s winsKTs equity
Rainbow, ten or higher24.59569.6680.31830.01469.827
Rainbow, nine or lower6.31440.0750.44859.47740.299
Two-tone46.72762.5870.31737.09662.745
Monotone5.27358.6353.45237.91360.361
Paired17.09164.8451.36633.78965.528

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 +1.63 points and 97s from 49.12% by -12.54 points.

KTs and 97s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KTs, all flops63.42061.789+1.6311.02640
KTs, rainbow, ten or higher69.82761.789+8.0381.13009
KTs, rainbow, nine or lower40.29961.789-21.4900.65220
KTs, two-tone62.74561.789+0.9561.01547
KTs, monotone60.36161.789-1.4280.97689
KTs, paired65.52861.789+3.7391.06051
97s, all flops36.58049.118-12.5380.74474
97s, rainbow, ten or higher30.17349.118-18.9450.61430
97s, rainbow, nine or lower59.70149.118+10.5831.21546
97s, two-tone37.25549.118-11.8630.75848
97s, monotone39.63949.118-9.4790.80702
97s, paired34.47249.118-14.6460.70182

Does a shared suit matter?

Split by suits, the deals give KTs 65.84% when the hands overlap in a suit and 62.61% when they do not. KTs does better with a shared suit, by 3.23 points.

KTs against 97s by suit overlap, in percent
DealsSpecific dealsShare of dealsKTs winsTies97s winsKTs equity
Share a suit425.0065.4670.75433.77965.844
No shared suit1275.0062.2910.64237.06762.612

How often this matchup comes up

You will meet this exact matchup 0.0020% of the time in a random heads-up deal: 32 of 1,624,350, counting either seat order.

A worked example

With $100 from each side, the $200 pot is split on average as $126.84 for KTs and $73.16 for 97s; the first side gains $26.84 per all-in and the second gives up $26.84.

Per 1,000 deals: KTs wins about 631, 97s wins about 362, and about 7 end in a split pot.

The same matchup from the other side

Read it from the other side: 97s against KTs is the same matchup with the numbers swapped, so 97s holds 36.58% and KTs holds 63.42%. That address sends you back to this page.

Try KsTs against 9h7h 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 16 specific deals of KTs 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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