99 vs 22: preflop equity

Counting every board, the equity split is 81.78% for 99 and 18.22% for 22, so 99 leads by 63.56 points.

99

81.78%

Wins 81.40%, ties 0.77%

22

18.22%

Wins 17.83%, ties 0.77%

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

99 against 22: the numbers

Exact preflop results for 99 against 22, in percent
HandWinsTiesLosesEquity
9981.3970.77217.83181.783
2217.8310.77281.39718.217

Both hands are pocket pairs: 99 and 22. Two pairs against each other is a one-way street: the lower pair needs one of its two remaining cards.

This is one of the lopsided matchups: 22 wins only 17.83% of the boards outright. Ties are part of the picture: 0.77% of boards end in a split pot, and each side counts that as half a win.

The hand ranking puts 99 at 6 and 22 at 87 out of 169 starting hands.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
9950,176,000476,00010,992,000
2210,992,000476,00050,176,000

Exact total: 36 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 22 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
994.4891.2295.6080.223
220.2235.6081.2294.489

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 paired flops, at 86.58%, and worst on low rainbow flops (nine high or lower), at 73.90%. 99 stays ahead on all five textures.

99 against 22 by flop texture, in percent
FlopShare of flops99 winsTies22 wins99 equity
Rainbow, ten or higher25.84482.6770.41116.91282.883
Rainbow, nine or lower5.06573.3541.08525.56173.896
Two-tone46.36380.5490.50618.94580.802
Monotone5.15275.1002.75022.15076.475
Paired17.57685.9111.33412.75586.578

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 +9.72 points and 22 from 50.33% by -32.11 points.

99 and 22 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
99, all flops81.78372.057+9.7261.13498
99, rainbow, ten or higher82.88372.057+10.8261.15024
99, rainbow, nine or lower73.89672.057+1.8391.02552
99, two-tone80.80272.057+8.7451.12136
99, monotone76.47572.057+4.4181.06131
99, paired86.57872.057+14.5211.20152
22, all flops18.21750.334-32.1170.36192
22, rainbow, ten or higher17.11750.334-33.2170.34007
22, rainbow, nine or lower26.10450.334-24.2300.51862
22, two-tone19.19850.334-31.1360.38141
22, monotone23.52550.334-26.8090.46738
22, paired13.42250.334-36.9120.26666

Does a shared suit matter?

When the hands share a suit, 99 holds 81.92%; when they do not, it holds 81.12%. 99 does better with a shared suit, by 0.80 points.

99 against 22 by suit overlap, in percent
DealsSpecific dealsShare of deals99 winsTies22 wins99 equity
Share a suit3083.3381.5260.77917.69581.915
No shared suit616.6780.7520.73518.51381.119

How often this matchup comes up

The class pair covers 36 combinations of specific cards in a fixed seat order, 0.0022% of 1,624,350, and 72 (0.0044%) in either order.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, 99's average share is $163.56 (a gain of $63.56) and 22's is $36.44 (a loss of $63.56).

Run 1,000 deals and the tally comes out near 814 for 99, 178 for 22 and 8 ties.

The same matchup from the other side

22 versus 99 is this same page seen from the other hand: 18.22% for 22, 81.78% for 99.

The calculator link fills in 9s9h against 2d2c, 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

This is an exact count with no sampling. For the 36 ways to deal one 99 and one 22 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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