A9s vs 44: preflop equity

The exact count puts 44 at 51.51% and A9s at 48.49% when the two hands see all five board cards.

A9s

48.49%

Wins 48.23%, ties 0.52%

44

51.51%

Wins 51.25%, ties 0.52%

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

A9s against 44: the numbers

Exact preflop results for A9s against 44, in percent
HandWinsTiesLosesEquity
A9s48.2330.52051.24748.493
4451.2470.52048.23351.507

A9s, a suited hand, plays 44, a pocket pair. 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.

That is a slim edge: neither hand is far ahead. About 0.52% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

A9s ranks number 18 of 169 starting hands, and 44 ranks number 48, by equity against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A9s19,821,000214,00021,060,000
4421,060,000214,00019,821,000

Exact total: 24 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.

A9s against 44 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A9s0.9412.0731.9511.062
441.0621.9512.0730.941

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

Split by what the flop looks like, 44 peaks at 58.47% on low rainbow flops (nine high or lower) and bottoms out at 50.29% on two-tone flops. 44 stays ahead on all five textures.

A9s against 44 by flop texture, in percent
FlopShare of flopsA9s winsTies44 winsA9s equity
Rainbow, ten or higher25.22048.6450.24751.10848.768
Rainbow, nine or lower5.68941.0950.86658.03941.528
Two-tone46.54549.5460.33450.12049.713
Monotone5.21247.4522.82649.72248.865
Paired17.33446.6850.60952.70646.989

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

Compared with a random hand

Each hand has a baseline against a random hand: 62.78% for A9s, 57.02% for 44. Here the change is -14.29 and -5.51 points.

A9s and 44 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A9s, all flops48.49362.781-14.2880.77242
A9s, rainbow, ten or higher48.76862.781-14.0130.77680
A9s, rainbow, nine or lower41.52862.781-21.2530.66147
A9s, two-tone49.71362.781-13.0680.79185
A9s, monotone48.86562.781-13.9160.77834
A9s, paired46.98962.781-15.7920.74846
44, all flops51.50757.023-5.5160.90327
44, rainbow, ten or higher51.23257.023-5.7910.89844
44, rainbow, nine or lower58.47257.023+1.4491.02541
44, two-tone50.28757.023-6.7360.88187
44, monotone51.13557.023-5.8880.89674
44, paired53.01157.023-4.0120.92964

Does a shared suit matter?

Looking only at deals where the hands share a suit, 44 has 51.70%; looking only at deals where they do not, 51.32%. 44 does better with a shared suit, by 0.38 points.

A9s against 44 by suit overlap, in percent
DealsSpecific dealsShare of dealsA9s winsTies44 winsA9s equity
Share a suit1250.0048.0250.55651.41948.303
No shared suit1250.0048.4410.48351.07648.682

How often this matchup comes up

This page stands for 24 specific-card matchups (0.0015% of 1,624,350 ordered deals), or 48 once you count the seats both ways (0.0030%).

A worked example

With $100 from each side, the $200 pot is split on average as $103.02 for 44 and $96.98 for A9s; the first side gains $3.02 per all-in and the second gives up $3.02.

Over a long run, 1,000 deals split into about 513 for 44, 482 for A9s and 5 tied.

The same matchup from the other side

Read it from the other side: 44 against A9s is the same matchup with the numbers swapped, so 44 holds 51.51% and A9s holds 48.49%. That address sends you back to this page.

Try As9s against 4h4d 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

Nothing here is simulated. The 24 deals of A9s against 44 fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.

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

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