KK vs A9s: preflop equity

Averaged over every possible board, KK is ahead of A9s by 36.10 points of equity, 68.05% to 31.95%.

KK

68.05%

Wins 67.85%, ties 0.41%

A9s

31.95%

Wins 31.74%, ties 0.41%

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

KK against A9s: the numbers

Exact preflop results for KK against A9s, in percent
HandWinsTiesLosesEquity
KK67.8460.40531.74968.048
A9s31.7490.40567.84631.952

The first hand is a pocket pair; the second is a suited hand. One of the other hand's cards outranks the pair and one is below it, which makes this a closer race than a pair against two small cards.

KK is well ahead, and A9s needs a specific kind of board to catch up. About 0.41% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

In the ranking of all 169 starting hands, KK is number 2 and A9s is number 18.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KK27,882,000166,00013,047,000
A9s13,047,000166,00027,882,000

Exact total: 24 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.

KK against A9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KK2.1301.4743.1500.470
A9s0.4703.1501.4742.130

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

KK prefers low rainbow flops (nine high or lower), where it holds 77.74%, and likes monotone flops least, where it holds 63.48%. KK stays ahead on all five textures.

KK against A9s by flop texture, in percent
FlopShare of flopsKK winsTiesA9s winsKK equity
Rainbow, ten or higher23.86766.9990.17832.82367.088
Rainbow, nine or lower7.04277.2101.05121.73977.736
Two-tone46.54566.0680.34533.58766.240
Monotone5.21262.2692.42135.31063.480
Paired17.33471.6580.01028.33271.663

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

Compared with a random hand

How much does the opponent matter? Compared with its random-hand 82.40%, KK changes by -14.35 points, and A9s, from 62.78%, by -30.83.

KK and A9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KK, all flops68.04882.396-14.3480.82587
KK, rainbow, ten or higher67.08882.396-15.3080.81421
KK, rainbow, nine or lower77.73682.396-4.6600.94344
KK, two-tone66.24082.396-16.1560.80392
KK, monotone63.48082.396-18.9160.77043
KK, paired71.66382.396-10.7330.86974
A9s, all flops31.95262.781-30.8290.50894
A9s, rainbow, ten or higher32.91262.781-29.8690.52424
A9s, rainbow, nine or lower22.26462.781-40.5170.35463
A9s, two-tone33.76062.781-29.0210.53774
A9s, monotone36.52062.781-26.2610.58170
A9s, paired28.33762.781-34.4440.45136

Does a shared suit matter?

Does suit overlap move the numbers? KK has 68.35% when the hands share a suit and 67.75% when they do not. KK does better with a shared suit, by 0.60 points.

KK against A9s by suit overlap, in percent
DealsSpecific dealsShare of dealsKK winsTiesA9s winsKK equity
Share a suit1250.0068.1240.44631.43068.347
No shared suit1250.0067.5670.36432.06967.749

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 24 are KK in one seat and A9s in the other (0.0015%); with the seats swapped too, 48 (0.0030%).

A worked example

With $100 from each side, the $200 pot is split on average as $136.10 for KK and $63.90 for A9s; the first side gains $36.10 per all-in and the second gives up $36.10.

Think in thousands: about 678 of 1,000 go to KK, about 318 go to A9s, and about 4 are chopped.

The same matchup from the other side

The reversed view, A9s against KK, shows 31.95% for A9s and 68.05% for KK. It is the same count, so it redirects here.

KsKh against Ad9d 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

Each figure is a complete count over boards. Take the 24 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

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