99 vs 44: preflop equity

Over all 1,712,304 boards that can follow this deal, 99 finishes with 81.31% of the pot and 44 with 18.69%.

99

81.31%

Wins 80.96%, ties 0.71%

44

18.69%

Wins 18.33%, ties 0.71%

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

99 against 44: the numbers

Exact preflop results for 99 against 44, in percent
HandWinsTiesLosesEquity
9980.9560.71218.33281.312
4418.3320.71280.95618.688

99 and 44 are both pocket pairs. Both hands are pairs, so the bigger pair is ahead on every board that does not pair a card below it.

A gap this wide means 44 is in trouble before the flop and has few good runouts. Split pots make up 0.71% of the boards, and both equity figures count them as half a win each.

Ranked by equity against a random hand, 99 is number 6 of the 169 starting hands and 44 is number 48.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
9949,904,000439,00011,300,000
4411,300,000439,00049,904,000

The total is exact: 36 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

99 against 44 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
994.3511.2355.4550.230
440.2305.4551.2354.351

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 paired flops, where it holds 86.28%, and likes low rainbow flops (nine high or lower) least, where it holds 72.17%. 99 stays ahead on all five textures.

99 against 44 by flop texture, in percent
FlopShare of flops99 winsTies44 wins99 equity
Rainbow, ten or higher25.84482.4090.41117.18082.614
Rainbow, nine or lower5.06571.7410.86327.39672.172
Two-tone46.36380.0780.47119.45180.314
Monotone5.15274.7402.12523.13575.802
Paired17.57685.6121.33413.05486.279

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

Compared with a random opponent, this matchup shifts 99 from 72.06% by +9.25 points and 44 from 57.02% by -38.33 points.

99 and 44 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
99, all flops81.31272.057+9.2551.12844
99, rainbow, ten or higher82.61472.057+10.5571.14651
99, rainbow, nine or lower72.17272.057+0.1151.00160
99, two-tone80.31472.057+8.2571.11459
99, monotone75.80272.057+3.7451.05197
99, paired86.27972.057+14.2221.19737
44, all flops18.68857.023-38.3350.32773
44, rainbow, ten or higher17.38657.023-39.6370.30489
44, rainbow, nine or lower27.82857.023-29.1950.48801
44, two-tone19.68657.023-37.3370.34523
44, monotone24.19857.023-32.8250.42436
44, paired13.72157.023-43.3020.24062

Does a shared suit matter?

Looking only at deals where the hands share a suit, 99 has 81.45%; looking only at deals where they do not, 80.64%. 99 does better with a shared suit, by 0.81 points.

99 against 44 by suit overlap, in percent
DealsSpecific dealsShare of deals99 winsTies44 wins99 equity
Share a suit3083.3381.0830.72618.19181.446
No shared suit616.6780.3190.64519.03680.642

How often this matchup comes up

Counting specific cards, 99 against 44 appears in 36 of the 1,624,350 ordered heads-up deals (0.0022%), and in 72 when the seats are swapped too (0.0044%).

A worked example

Put $100 each into a $200 pot and deal every board once: 99 averages $162.62 back, ahead of its $100 by $62.62, while 44 averages $37.38, short of its $100 by $62.62.

In 1,000 deals of exactly this matchup, expect about 810 won outright by 99, about 183 won outright by 44 and about 7 split.

The same matchup from the other side

The mirror image, 44 against 99, is 18.69% to 81.31%, and its address redirects to this page.

9s9h against 4d4c 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 36 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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