44 vs T9s: preflop equity

Averaged over every possible board, T9s is ahead of 44 by 5.32 points of equity, 52.66% to 47.34%.

44

47.34%

Wins 46.76%, ties 1.15%

T9s

52.66%

Wins 52.09%, ties 1.15%

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

44 against T9s: the numbers

Exact preflop results for 44 against T9s, in percent
HandWinsTiesLosesEquity
4446.7591.15252.08947.335
T9s52.0891.15246.75952.665

Here a pocket pair (44) meets a suited hand (T9s). 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.

T9s leads by less than 6 points of equity, so the result of any one deal is close to a toss-up. Split pots make up 1.15% of the boards, and both equity figures count them as half a win each.

Place 48 of 169 belongs to 44 and place 64 belongs to T9s in the ranking against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
4419,216,000473,00021,406,000
T9s21,406,000473,00019,216,000

24 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.

44 against T9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
440.8992.1391.9201.113
T9s1.1131.9202.1390.899

In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.

Who is ahead on which flops

If you know the kind of flop that came, the numbers shift: T9s holds 54.30% on two-tone flops and 46.17% on low rainbow flops (nine high or lower). 44 is ahead on low rainbow flops (nine high or lower) and paired flops, even though it trails T9s when every flop is counted.

44 against T9s by flop texture, in percent
FlopShare of flops44 winsTiesT9s wins44 equity
Rainbow, ten or higher25.22045.7260.65953.61546.056
Rainbow, nine or lower5.68953.5500.56245.88853.831
Two-tone46.54545.3970.61453.98945.704
Monotone5.21246.4353.06650.49947.968
Paired17.33449.7872.93347.28051.254

A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.

Compared with a random hand

Against one random hand instead, 44 holds 57.02% and T9s holds 54.03%. Facing each other changes that by -9.68 points for 44 and -1.37 points for T9s.

44 and T9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
44, all flops47.33557.023-9.6880.83010
44, rainbow, ten or higher46.05657.023-10.9670.80767
44, rainbow, nine or lower53.83157.023-3.1920.94402
44, two-tone45.70457.023-11.3190.80150
44, monotone47.96857.023-9.0550.84120
44, paired51.25457.023-5.7690.89883
T9s, all flops52.66554.028-1.3630.97477
T9s, rainbow, ten or higher53.94454.028-0.0840.99845
T9s, rainbow, nine or lower46.16954.028-7.8590.85454
T9s, two-tone54.29654.028+0.2681.00496
T9s, monotone52.03254.028-1.9960.96306
T9s, paired48.74654.028-5.2820.90224

Does a shared suit matter?

The suit split reads 52.53% for T9s with a shared suit and 52.80% without one. T9s does better with no shared suit, by 0.27 points.

44 against T9s by suit overlap, in percent
DealsSpecific dealsShare of deals44 winsTiesT9s wins44 equity
Share a suit1250.0046.8761.18951.93547.470
No shared suit1250.0046.6421.11552.24347.200

How often this matchup comes up

44 against T9s is made up of 24 specific-card matchups in one seat order, 0.0015% of the 1,624,350 ordered deals, and 48 counting both seat orders, 0.0030%.

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says T9s gets $105.32 of it on average and 44 gets $94.68.

Out of 1,000 deals you should see around 521 outright wins for T9s, 468 for 44, and 11 split pots.

The same matchup from the other side

One page covers both views. From T9s' side the equity is 52.66%, and from 44's side it is 47.34%.

The calculator link fills in 4s4h against Td9d, 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

The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 24 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.

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

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