TT vs A2s: preflop equity

If TT and A2s get all the chips in before the flop, TT owns 67.69% of the pot in the long run and A2s owns 32.31%.

TT

67.69%

Wins 67.47%, ties 0.43%

A2s

32.31%

Wins 32.10%, ties 0.43%

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

TT against A2s: the numbers

Exact preflop results for TT against A2s, in percent
HandWinsTiesLosesEquity
TT67.4710.43132.09867.686
A2s32.0980.43167.47132.314

TT and A2s are a pocket pair and a suited hand, in that order. One of the other hand's cards outranks the pair and one is below it, which makes this a closer race than a pair against two small cards.

That is a clear edge, 67.69% to 32.31%, but A2s still wins often enough that one hand proves nothing. Split pots make up 0.43% of the boards, and both equity figures count them as half a win each.

TT ranks number 5 of 169 starting hands, and A2s ranks number 46, by equity against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
TT27,727,000177,00013,191,000
A2s13,191,000177,00027,727,000

The board total is exact, 24 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 A2s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
TT2.0951.4823.1150.477
A2s0.4773.1151.4822.095

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

By flop texture, TT's equity runs from 63.35% on monotone flops up to 75.59% on low rainbow flops (nine high or lower). TT stays ahead on all five textures.

TT against A2s by flop texture, in percent
FlopShare of flopsTT winsTiesA2s winsTT equity
Rainbow, ten or higher23.86767.4110.17632.41367.499
Rainbow, nine or lower7.04275.1000.98723.91375.593
Two-tone46.54565.9040.33033.76666.069
Monotone5.21262.1412.41535.44463.349
Paired17.33470.2650.22829.50770.379

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

The table below sets each hand against its own random-hand baseline: a change of -7.32 points for TT, from 75.01%, and -25.07 for A2s, from 57.38%.

TT and A2s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
TT, all flops67.68675.012-7.3260.90234
TT, rainbow, ten or higher67.49975.012-7.5130.89984
TT, rainbow, nine or lower75.59375.012+0.5811.00775
TT, two-tone66.06975.012-8.9430.88078
TT, monotone63.34975.012-11.6630.84452
TT, paired70.37975.012-4.6330.93824
A2s, all flops32.31457.379-25.0650.56317
A2s, rainbow, ten or higher32.50157.379-24.8780.56643
A2s, rainbow, nine or lower24.40757.379-32.9720.42536
A2s, two-tone33.93157.379-23.4480.59135
A2s, monotone36.65157.379-20.7280.63875
A2s, paired29.62157.379-27.7580.51623

Does a shared suit matter?

Does suit overlap move the numbers? TT has 67.98% when the hands share a suit and 67.39% when they do not. TT does better with a shared suit, by 0.59 points.

TT against A2s by suit overlap, in percent
DealsSpecific dealsShare of dealsTT winsTiesA2s winsTT equity
Share a suit1250.0067.7450.47631.77967.983
No shared suit1250.0067.1970.38632.41767.390

How often this matchup comes up

The class pair covers 24 combinations of specific cards in a fixed seat order, 0.0015% of 1,624,350, and 48 (0.0030%) in either order.

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. TT averages $135.38 from the $200, up $35.38; A2s averages $64.62, down $35.38.

Over a long run, 1,000 deals split into about 675 for TT, 321 for A2s and 4 tied.

The same matchup from the other side

The mirror image, A2s against TT, is 32.31% to 67.69%, and its address redirects to this page.

Try TsTh against Ad2d 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

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 24 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.

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

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