99 vs Q9s: preflop equity

Dealt all in against each other, 99 takes 63.97% of the pot on average and Q9s takes the other 36.03%.

99

63.97%

Wins 62.96%, ties 2.02%

Q9s

36.03%

Wins 35.02%, ties 2.02%

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

99 against Q9s: the numbers

Exact preflop results for 99 against Q9s, in percent
HandWinsTiesLosesEquity
9962.9582.02035.02263.968
Q9s35.0222.02062.95836.032

99, a pocket pair, plays Q9s, a suited hand. The pair already holds one of the other hand's ranks, and that overlap cuts down the cards the other hand can pair with.

That is a modest edge, the kind that shows up over many hands and is easy to miss in one. The tie share is 2.02%: on those boards the pot is chopped and neither hand wins outright.

By strength against a random hand, 99 holds place 6 of 169 and Q9s holds place 43.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
9912,936,000415,0007,196,000
Q9s7,196,000415,00012,936,000

The board total is exact, 12 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

99 against Q9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
991.7751.5882.8550.563
Q9s0.5632.8551.5881.775

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

99 prefers low rainbow flops (nine high or lower), where it holds 83.13%, and likes monotone flops least, where it holds 60.16%. 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 Q9s by flop texture, in percent
FlopShare of flops99 winsTiesQ9s wins99 equity
Rainbow, ten or higher25.19759.7981.91738.28560.756
Rainbow, nine or lower5.58581.1214.01014.86983.126
Two-tone46.23660.5712.08637.34361.614
Monotone5.15158.7392.84838.41360.163
Paired17.83169.1441.12829.72869.708

Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.

Compared with a random hand

Relative to a random opponent, 99 changes by -8.09 points (baseline 72.06%) and Q9s by -21.63 points (baseline 57.66%).

99 and Q9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
99, all flops63.96872.057-8.0890.88774
99, rainbow, ten or higher60.75672.057-11.3010.84317
99, rainbow, nine or lower83.12672.057+11.0691.15361
99, two-tone61.61472.057-10.4430.85507
99, monotone60.16372.057-11.8940.83494
99, paired69.70872.057-2.3490.96740
Q9s, all flops36.03257.664-21.6320.62486
Q9s, rainbow, ten or higher39.24457.664-18.4200.68056
Q9s, rainbow, nine or lower16.87457.664-40.7900.29263
Q9s, two-tone38.38657.664-19.2780.66568
Q9s, monotone39.83757.664-17.8270.69085
Q9s, paired30.29257.664-27.3720.52532

Does a shared suit matter?

There is no shared-suit case for this pair, since the cards they would need are already in the other hand. Every deal is a no-shared-suit deal.

99 against Q9s by suit overlap, in percent
DealsSpecific dealsShare of deals99 winsTiesQ9s wins99 equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0062.9582.02035.02263.968

How often this matchup comes up

Counting specific cards, 99 against Q9s appears in 12 of the 1,624,350 ordered heads-up deals (0.0007%), and in 24 when the seats are swapped too (0.0015%).

A worked example

With $100 from each side, the $200 pot is split on average as $127.94 for 99 and $72.06 for Q9s; the first side gains $27.94 per all-in and the second gives up $27.94.

Scaled to 1,000 deals, that is roughly 630 wins for 99, 350 for Q9s and 20 chopped pots.

The same matchup from the other side

Swap the hands and you get Q9s with 36.03% against 99 with 63.97%. We keep one page per matchup, with the better-ranked hand first.

9s9h against Qd9d 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

Method: exact enumeration. The 12 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.

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

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