99 vs KJo: preflop equity

Over all 1,712,304 boards that can follow this deal, 99 finishes with 55.32% of the pot and KJo with 44.68%.

99

55.32%

Wins 55.12%, ties 0.39%

KJo

44.68%

Wins 44.49%, ties 0.39%

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

99 against KJo: the numbers

Exact preflop results for 99 against KJo, in percent
HandWinsTiesLosesEquity
9955.1240.39044.48655.319
KJo44.4860.39055.12444.681

99, a pocket pair, plays KJo, an offsuit hand. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.

The lead is steady rather than large, and the flop still has plenty of say in who wins. A split pot comes up on 0.39% of boards, so the wins and the equity differ by half of that.

Among the 169 starting hands, 99 is number 6 and KJo is number 26 by strength against a random hand.

Boards behind the percentages: 123,285,888 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
9967,960,000481,00054,845,000
KJo54,845,000481,00067,960,000

Exact total: 72 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 KJo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
991.2381.8142.2480.808
KJo0.8082.2481.8141.238

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 99 is strongest on low rainbow flops (nine high or lower) (80.68%) and weakest on rainbow flops topped by a ten or better (47.74%). KJo takes over on rainbow flops topped by a ten or better, so the favorite before the flop is the underdog on those boards.

99 against KJo by flop texture, in percent
FlopShare of flops99 winsTiesKJo wins99 equity
Rainbow, ten or higher24.71747.6630.16252.17547.744
Rainbow, nine or lower6.31480.1551.04418.80180.677
Two-tone46.48553.9430.32745.73054.106
Monotone5.15150.6821.70847.61051.536
Paired17.33361.1320.25338.61561.259

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

How much does the opponent matter? Compared with its random-hand 72.06%, 99 changes by -16.74 points, and KJo, from 60.57%, by -15.89.

99 and KJo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
99, all flops55.31972.057-16.7380.76771
99, rainbow, ten or higher47.74472.057-24.3130.66259
99, rainbow, nine or lower80.67772.057+8.6201.11963
99, two-tone54.10672.057-17.9510.75088
99, monotone51.53672.057-20.5210.71521
99, paired61.25972.057-10.7980.85015
KJo, all flops44.68160.569-15.8880.73769
KJo, rainbow, ten or higher52.25660.569-8.3130.86275
KJo, rainbow, nine or lower19.32360.569-41.2460.31902
KJo, two-tone45.89460.569-14.6750.75771
KJo, monotone48.46460.569-12.1050.80015
KJo, paired38.74160.569-21.8280.63962

Does a shared suit matter?

Of the deals of this matchup, 60 share a suit (99 at 55.24%) and 12 do not (55.74%). 99 does better with no shared suit, by 0.50 points.

99 against KJo by suit overlap, in percent
DealsSpecific dealsShare of deals99 winsTiesKJo wins99 equity
Share a suit6083.3355.0320.40644.56255.235
No shared suit1216.6755.5830.31044.10755.738

How often this matchup comes up

How often does it happen? 72 of the 1,624,350 ordered deals (0.0044%) are 99 against KJo, and 144 (0.0089%) if either hand may sit in either seat.

A worked example

Put $100 each into a $200 pot and deal every board once: 99 averages $110.64 back, ahead of its $100 by $10.64, while KJo averages $89.36, short of its $100 by $10.64.

Think in thousands: about 551 of 1,000 go to 99, about 445 go to KJo, and about 4 are chopped.

The same matchup from the other side

One page covers both views. From KJo's side the equity is 44.68%, and from 99's side it is 55.32%.

The calculator link fills in 9s9h against KdJc, 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 72 specific deals of 99 against KJo, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.

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

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