99 vs K9o: preflop equity

Before any board card is dealt, 99 holds 69.33% equity against K9o, which leaves K9o with 30.67%.

99

69.33%

Wins 68.22%, ties 2.21%

K9o

30.67%

Wins 29.57%, ties 2.21%

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

99 against K9o: the numbers

Exact preflop results for 99 against K9o, in percent
HandWinsTiesLosesEquity
9968.2232.20929.56869.328
K9o29.5682.20968.22330.672

99 and K9o are a pocket pair and an offsuit hand, in that order. One hand holds a card of the same rank as the pair, which removes a card the pair needs and makes the pair a bigger favorite.

99 is the clear favorite, though K9o gets there on roughly one board in 3. About 2.21% 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, 99 is number 6 and K9o is number 40.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
9942,055,0001,362,00018,227,000
K9o18,227,0001,362,00042,055,000

36 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 K9o read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
992.2601.4663.3820.442
K9o0.4423.3821.4662.260

The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.

Who is ahead on which flops

Break the boards down by their first three cards and 99 is strongest on low rainbow flops (nine high or lower) (86.84%) and weakest on monotone flops (62.32%). 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 K9o by flop texture, in percent
FlopShare of flops99 winsTiesK9o wins99 equity
Rainbow, ten or higher25.23964.0812.08433.83565.123
Rainbow, nine or lower5.58584.6424.40210.95686.843
Two-tone46.21567.0522.38830.56068.246
Monotone5.13061.0052.62836.36762.319
Paired17.83174.0571.11624.82774.615

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

Compared with a random opponent, this matchup shifts 99 from 72.06% by -2.73 points and K9o from 57.81% by -27.14 points.

99 and K9o here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
99, all flops69.32872.057-2.7290.96213
99, rainbow, ten or higher65.12372.057-6.9340.90377
99, rainbow, nine or lower86.84372.057+14.7861.20520
99, two-tone68.24672.057-3.8110.94711
99, monotone62.31972.057-9.7380.86486
99, paired74.61572.057+2.5581.03550
K9o, all flops30.67257.812-27.1400.53055
K9o, rainbow, ten or higher34.87757.812-22.9350.60328
K9o, rainbow, nine or lower13.15757.812-44.6550.22758
K9o, two-tone31.75457.812-26.0580.54926
K9o, monotone37.68157.812-20.1310.65179
K9o, paired25.38557.812-32.4270.43910

Does a shared suit matter?

Does suit overlap move the numbers? 99 has 69.27% when the hands share a suit and 69.45% when they do not. The two rows differ by only 0.18 points, so suits barely change this matchup.

99 against K9o by suit overlap, in percent
DealsSpecific dealsShare of deals99 winsTiesK9o wins99 equity
Share a suit2466.6768.1442.24529.61169.266
No shared suit1233.3368.3822.13829.48069.451

How often this matchup comes up

99 against K9o is made up of 36 specific-card matchups in one seat order, 0.0022% of the 1,624,350 ordered deals, and 72 counting both seat orders, 0.0044%.

A worked example

Put $100 each into a $200 pot and deal every board once: 99 averages $138.66 back, ahead of its $100 by $38.66, while K9o averages $61.34, short of its $100 by $38.66.

Out of 1,000 deals you should see around 682 outright wins for 99, 296 for K9o, and 22 split pots.

The same matchup from the other side

Read it from the other side: K9o against 99 is the same matchup with the numbers swapped, so K9o holds 30.67% and 99 holds 69.33%. That address sends you back to this page.

Try 9s9h against Kd9c 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

This is an exact count with no sampling. For the 36 ways to deal one 99 and one K9o without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.

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

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