TT vs 44: preflop equity

The exact count puts TT at 80.98% and 44 at 19.02% when the two hands see all five board cards.

TT

80.98%

Wins 80.72%, ties 0.52%

44

19.02%

Wins 18.76%, ties 0.52%

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

TT against 44: the numbers

Exact preflop results for TT against 44, in percent
HandWinsTiesLosesEquity
TT80.7200.51718.76380.978
4418.7630.51780.72019.022

Both hands are pocket pairs: TT and 44. A pair against a smaller pair is the classic crush: the smaller pair needs one of its two remaining cards to make a set.

This is one of the lopsided matchups: 44 wins only 18.76% of the boards outright. About 0.52% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

Ranked by equity against a random hand, TT is number 5 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
TT49,758,000319,00011,566,000
4411,566,000319,00049,758,000

The board total is exact, 36 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

TT against 44 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
TT4.2571.2395.3300.235
440.2355.3301.2394.257

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

TT prefers paired flops, where it holds 86.43%, and likes low rainbow flops (nine high or lower) least, where it holds 67.27%. TT stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

TT against 44 by flop texture, in percent
FlopShare of flopsTT winsTies44 winsTT equity
Rainbow, ten or higher24.59583.6830.29416.02383.830
Rainbow, nine or lower6.31466.9210.69332.38667.267
Two-tone46.36379.6930.36419.94379.875
Monotone5.15274.4672.02923.50475.481
Paired17.57686.0710.72413.20586.433

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 TT from 75.01% by +5.97 points and 44 from 57.02% by -38.00 points.

TT and 44 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
TT, all flops80.97875.012+5.9661.07953
TT, rainbow, ten or higher83.83075.012+8.8181.11755
TT, rainbow, nine or lower67.26775.012-7.7450.89675
TT, two-tone79.87575.012+4.8631.06483
TT, monotone75.48175.012+0.4691.00625
TT, paired86.43375.012+11.4211.15226
44, all flops19.02257.023-38.0010.33358
44, rainbow, ten or higher16.17057.023-40.8530.28357
44, rainbow, nine or lower32.73357.023-24.2900.57403
44, two-tone20.12557.023-36.8980.35293
44, monotone24.51957.023-32.5040.42998
44, paired13.56757.023-43.4560.23792

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common TT has 81.11% equity, and with none in common it has 80.32%. TT does better with a shared suit, by 0.79 points.

TT against 44 by suit overlap, in percent
DealsSpecific dealsShare of dealsTT winsTies44 winsTT equity
Share a suit3083.3380.8460.53018.62481.111
No shared suit616.6780.0920.44919.45980.316

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, TT's average share is $161.96 (a gain of $61.96) and 44's is $38.04 (a loss of $61.96).

Run 1,000 deals and the tally comes out near 807 for TT, 188 for 44 and 5 ties.

The same matchup from the other side

The reversed view, 44 against TT, shows 19.02% for 44 and 80.98% for TT. It is the same count, so it redirects here.

Try TsTh against 4d4c 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 36 deals of TT 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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