99 vs K9s: preflop equity

Dealt all in against each other, 99 takes 65.37% of the pot on average and K9s takes the other 34.63%.

99

65.37%

Wins 64.33%, ties 2.09%

K9s

34.63%

Wins 33.58%, ties 2.09%

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

99 against K9s: the numbers

Exact preflop results for 99 against K9s, in percent
HandWinsTiesLosesEquity
9964.3292.08533.58665.371
K9s33.5862.08564.32934.629

We compare a pocket pair with a suited hand. The non-pair hand shares a rank with the pair, so two of its outs for pairing are blocked by the pair itself.

99 is the clear favorite, though K9s gets there on roughly one board in 3. Ties are part of the picture: 2.09% of boards end in a split pot, and each side counts that as half a win.

In the ranking of all 169 starting hands, 99 is number 6 and K9s is number 29.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
9913,218,000428,0006,901,000
K9s6,901,000428,00013,218,000

Exact total: 12 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.

99 against K9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
991.8881.5552.9770.530
K9s0.5302.9771.5551.888

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

Across the five flop textures 99's equity moves by 22.54 points, from 61.12% on monotone flops to 83.66% on low rainbow flops (nine high or lower). 99 stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

99 against K9s by flop texture, in percent
FlopShare of flops99 winsTiesK9s wins99 equity
Rainbow, ten or higher25.19761.6722.01036.31862.677
Rainbow, nine or lower5.58581.5524.21114.23783.658
Two-tone46.23662.0222.17135.80763.107
Monotone5.15159.6842.87537.44161.121
Paired17.83170.0131.07428.91370.550

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

Each hand has a baseline against a random hand: 72.06% for 99, 59.99% for K9s. Here the change is -6.69 and -25.36 points.

99 and K9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
99, all flops65.37172.057-6.6860.90721
99, rainbow, ten or higher62.67772.057-9.3800.86983
99, rainbow, nine or lower83.65872.057+11.6011.16100
99, two-tone63.10772.057-8.9500.87579
99, monotone61.12172.057-10.9360.84823
99, paired70.55072.057-1.5070.97909
K9s, all flops34.62959.988-25.3590.57727
K9s, rainbow, ten or higher37.32359.988-22.6650.62217
K9s, rainbow, nine or lower16.34259.988-43.6460.27242
K9s, two-tone36.89359.988-23.0950.61501
K9s, monotone38.87959.988-21.1090.64811
K9s, paired29.45059.988-30.5380.49093

Does a shared suit matter?

The hands cannot hold a suit in common here, which leaves a single case and a single number: 65.37% for 99.

99 against K9s by suit overlap, in percent
DealsSpecific dealsShare of deals99 winsTiesK9s wins99 equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0064.3292.08533.58665.371

How often this matchup comes up

You will meet this exact matchup 0.0015% of the time in a random heads-up deal: 24 of 1,624,350, counting either seat order.

A worked example

Take a $200 pot built from $100 each. 99's equity of 65.37% is worth $130.74, a $30.74 edge, and K9s' 34.63% is worth $69.26, which is $30.74 under its stake.

Scaled to 1,000 deals, that is roughly 643 wins for 99, 336 for K9s and 21 chopped pots.

The same matchup from the other side

Swap the hands and you get K9s with 34.63% against 99 with 65.37%. We keep one page per matchup, with the better-ranked hand first.

The calculator link fills in 9s9h against Kd9d, 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 12 deals of 99 against K9s 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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