KK vs 97s: preflop equity

Counting every board, the equity split is 79.06% for KK and 20.94% for 97s, so KK leads by 58.12 points.

KK

79.06%

Wins 78.88%, ties 0.37%

97s

20.94%

Wins 20.75%, ties 0.37%

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

KK against 97s: the numbers

Exact preflop results for KK against 97s, in percent
HandWinsTiesLosesEquity
KK78.8760.36620.75879.059
97s20.7580.36678.87620.941

We compare a pocket pair with a suited hand. A pair against two lower cards is a lopsided matchup: the pair is ahead and the other hand has no overcard to catch.

A lead of 58.12 points is large but not decisive: 97s still takes about 207 of every 1,000 deals. Ties are 0.37% of the outcomes here; each tied board gives both hands half the pot.

Ranked by equity against a random hand, KK is number 2 of the 169 starting hands and 97s is number 94.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KK32,414,000150,0008,531,000
97s8,531,000150,00032,414,000

24 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.

KK against 97s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KK3.7751.2684.8170.265
97s0.2654.8171.2683.775

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

Break the boards down by their first three cards and KK is strongest on paired flops (83.09%) and weakest on low rainbow flops (nine high or lower) (71.20%). KK stays ahead on all five textures.

KK against 97s by flop texture, in percent
FlopShare of flopsKK winsTies97s winsKK equity
Rainbow, ten or higher24.59582.9010.20416.89583.003
Rainbow, nine or lower6.31470.8570.67828.46571.196
Two-tone46.54576.9940.28422.72277.136
Monotone5.21272.5512.39125.05873.746
Paired17.33483.0410.09216.86783.087

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

The table below sets each hand against its own random-hand baseline: a change of -3.34 points for KK, from 82.40%, and -28.18 for 97s, from 49.12%.

KK and 97s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KK, all flops79.05982.396-3.3370.95950
KK, rainbow, ten or higher83.00382.396+0.6071.00737
KK, rainbow, nine or lower71.19682.396-11.2000.86407
KK, two-tone77.13682.396-5.2600.93616
KK, monotone73.74682.396-8.6500.89502
KK, paired83.08782.396+0.6911.00839
97s, all flops20.94149.118-28.1770.42634
97s, rainbow, ten or higher16.99749.118-32.1210.34604
97s, rainbow, nine or lower28.80449.118-20.3140.58642
97s, two-tone22.86449.118-26.2540.46549
97s, monotone26.25449.118-22.8640.53451
97s, paired16.91349.118-32.2050.34433

Does a shared suit matter?

Does suit overlap move the numbers? KK has 79.64% when the hands share a suit and 78.48% when they do not. KK does better with a shared suit, by 1.16 points.

KK against 97s by suit overlap, in percent
DealsSpecific dealsShare of dealsKK winsTies97s winsKK equity
Share a suit1250.0079.4310.40720.16279.635
No shared suit1250.0078.3210.32421.35578.483

How often this matchup comes up

This page stands for 24 specific-card matchups (0.0015% of 1,624,350 ordered deals), or 48 once you count the seats both ways (0.0030%).

A worked example

Put $100 each into a $200 pot and deal every board once: KK averages $158.12 back, ahead of its $100 by $58.12, while 97s averages $41.88, short of its $100 by $58.12.

Run 1,000 deals and the tally comes out near 789 for KK, 207 for 97s and 4 ties.

The same matchup from the other side

One page covers both views. From 97s' side the equity is 20.94%, and from KK's side it is 79.06%.

The calculator link fills in KsKh 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

Nothing here is simulated. The 24 deals of KK against 97s 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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