44 vs 97s: preflop equity

Before any board card is dealt, 97s holds 51.37% equity against 44, which leaves 44 with 48.63%.

44

48.63%

Wins 47.93%, ties 1.40%

97s

51.37%

Wins 50.67%, ties 1.40%

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

44 against 97s: the numbers

Exact preflop results for 44 against 97s, in percent
HandWinsTiesLosesEquity
4447.9261.40050.67448.626
97s50.6741.40047.92651.374

Here a pocket pair (44) meets a suited hand (97s). One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.

That is a slim edge: neither hand is far ahead. Ties are part of the picture: 1.40% of boards end in a split pot, and each side counts that as half a win.

The hand ranking puts 44 at 48 and 97s at 94 out of 169 starting hands.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
4419,695,000575,00020,825,000
97s20,825,000575,00019,695,000

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.

44 against 97s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
440.9472.0871.9731.057
97s1.0571.9732.0870.947

The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.

Who is ahead on which flops

Low rainbow flops (nine high or lower) are the best for 97s (57.50%); paired flops are the worst (47.56%). 44 is ahead on rainbow flops topped by a ten or better and paired flops, even though it trails 97s when every flop is counted.

44 against 97s by flop texture, in percent
FlopShare of flops44 winsTies97s wins44 equity
Rainbow, ten or higher25.84449.7460.82649.42850.159
Rainbow, nine or lower5.06542.2030.59957.19842.502
Two-tone46.54546.6180.75152.63146.993
Monotone5.21247.2753.16949.55648.859
Paired17.33450.5933.69945.70852.443

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 44 from 57.02% by -8.39 points and 97s from 49.12% by +2.25 points.

44 and 97s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
44, all flops48.62657.023-8.3970.85274
44, rainbow, ten or higher50.15957.023-6.8640.87963
44, rainbow, nine or lower42.50257.023-14.5210.74535
44, two-tone46.99357.023-10.0300.82411
44, monotone48.85957.023-8.1640.85683
44, paired52.44357.023-4.5800.91968
97s, all flops51.37449.118+2.2561.04593
97s, rainbow, ten or higher49.84149.118+0.7231.01472
97s, rainbow, nine or lower57.49849.118+8.3801.17061
97s, two-tone53.00749.118+3.8891.07918
97s, monotone51.14149.118+2.0231.04119
97s, paired47.55749.118-1.5610.96822

Does a shared suit matter?

When the hands share a suit, 97s holds 51.23%; when they do not, it holds 51.52%. 97s does better with no shared suit, by 0.29 points.

44 against 97s by suit overlap, in percent
DealsSpecific dealsShare of deals44 winsTies97s wins44 equity
Share a suit1250.0048.0511.43550.51448.769
No shared suit1250.0047.8001.36550.83548.483

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 24 are 44 in one seat and 97s in the other (0.0015%); with the seats swapped too, 48 (0.0030%).

A worked example

With $100 from each side, the $200 pot is split on average as $102.74 for 97s and $97.26 for 44; the first side gains $2.74 per all-in and the second gives up $2.74.

Out of 1,000 deals you should see around 507 outright wins for 97s, 479 for 44, and 14 split pots.

The same matchup from the other side

Read it from the other side: 97s against 44 is the same matchup with the numbers swapped, so 97s holds 51.37% and 44 holds 48.63%. That address sends you back to this page.

Try 4s4h against 9d7d 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

Method: exact enumeration. The 24 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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