99 vs KTs: preflop equity

Counting every board, the equity split is 52.71% for 99 and 47.29% for KTs, so 99 leads by 5.42 points.

99

52.71%

Wins 52.51%, ties 0.40%

KTs

47.29%

Wins 47.09%, ties 0.40%

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

99 against KTs: the numbers

Exact preflop results for 99 against KTs, in percent
HandWinsTiesLosesEquity
9952.5090.40447.08752.711
KTs47.0870.40452.50947.289

99 and KTs are a pocket pair and a suited hand, in that order. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.

This is close to even money, with 99 a little ahead. About 0.40% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

For context, 99 sits at number 6 of 169 starting hands and KTs at number 22 when each is run against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
9921,579,000166,00019,351,000
KTs19,351,000166,00021,579,000

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.

99 against KTs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
991.1151.9042.1240.897
KTs0.8972.1241.9041.115

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

The flop changes the picture. 99 does best on low rainbow flops (nine high or lower), at 77.57%, and worst on rainbow flops topped by a ten or better, at 46.46%. The overall edge for 99 hides rainbow flops topped by a ten or better, where KTs comes out in front.

99 against KTs by flop texture, in percent
FlopShare of flops99 winsTiesKTs wins99 equity
Rainbow, ten or higher24.59546.3710.17653.45346.459
Rainbow, nine or lower6.31477.1300.87921.99177.570
Two-tone46.54550.4160.29449.29050.563
Monotone5.21250.3082.38747.30551.501
Paired17.33458.5290.25741.21458.658

A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.

Compared with a random hand

Start from the random-hand figures, 72.06% for 99 and 61.79% for KTs. This opponent changes them by -19.35 and -14.50 points.

99 and KTs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
99, all flops52.71172.057-19.3460.73152
99, rainbow, ten or higher46.45972.057-25.5980.64475
99, rainbow, nine or lower77.57072.057+5.5131.07651
99, two-tone50.56372.057-21.4940.70171
99, monotone51.50172.057-20.5560.71473
99, paired58.65872.057-13.3990.81405
KTs, all flops47.28961.789-14.5000.76533
KTs, rainbow, ten or higher53.54161.789-8.2480.86651
KTs, rainbow, nine or lower22.43061.789-39.3590.36301
KTs, two-tone49.43761.789-12.3520.80009
KTs, monotone48.49961.789-13.2900.78491
KTs, paired41.34261.789-20.4470.66908

Does a shared suit matter?

Does suit overlap move the numbers? 99 has 52.85% when the hands share a suit and 52.57% when they do not. 99 does better with a shared suit, by 0.28 points.

99 against KTs by suit overlap, in percent
DealsSpecific dealsShare of deals99 winsTiesKTs wins99 equity
Share a suit1250.0052.6310.44546.92452.854
No shared suit1250.0052.3860.36347.25152.568

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

Say each player puts $100 in before the flop, making a $200 pot. On average 99 takes back $105.42 of it, which is $5.42 more than it put in, and KTs takes back $94.58, $5.42 less than it put in.

Think in thousands: about 525 of 1,000 go to 99, about 471 go to KTs, and about 4 are chopped.

The same matchup from the other side

The reversed view, KTs against 99, shows 47.29% for KTs and 52.71% for 99. It is the same count, so it redirects here.

9s9h against KdTd 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

We counted every case. Each suit pattern of the 24 specific 99 against KTs deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.

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

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