A2s vs T9s: preflop equity

The exact count puts A2s at 54.56% and T9s at 45.44% when the two hands see all five board cards.

A2s

54.56%

Wins 54.30%, ties 0.52%

T9s

45.44%

Wins 45.18%, ties 0.52%

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

A2s against T9s: the numbers

Exact preflop results for A2s against T9s, in percent
HandWinsTiesLosesEquity
A2s54.3040.51845.17854.563
T9s45.1780.51854.30445.437

The matchup is suited hands on both sides, A2s against T9s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

With only 9.12 points between them, the board decides this matchup far more than the cards in hand. Ties are 0.52% of the outcomes here; each tied board gives both hands half the pot.

Ranked by equity against a random hand, A2s is number 46 of the 169 starting hands and T9s is number 64.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A2s14,878,000142,00012,377,000
T9s12,377,000142,00014,878,000

The total is exact: 16 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

A2s against T9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A2s1.2011.8412.2130.833
T9s0.8332.2131.8411.201

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

Paired flops are the best for A2s (60.44%); low rainbow flops (nine high or lower) are the worst (51.20%). A2s stays ahead on all five textures.

A2s against T9s by flop texture, in percent
FlopShare of flopsA2s winsTiesT9s winsA2s equity
Rainbow, ten or higher24.54353.9330.19345.87454.030
Rainbow, nine or lower6.36650.8340.73948.42751.204
Two-tone46.72753.2180.27746.50553.356
Monotone5.27351.0313.43445.53552.748
Paired17.09160.1070.66139.23260.438

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

Start from the random-hand figures, 57.38% for A2s and 54.03% for T9s. This opponent changes them by -2.82 and -8.59 points.

A2s and T9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A2s, all flops54.56357.379-2.8160.95092
A2s, rainbow, ten or higher54.03057.379-3.3490.94163
A2s, rainbow, nine or lower51.20457.379-6.1750.89238
A2s, two-tone53.35657.379-4.0230.92989
A2s, monotone52.74857.379-4.6310.91929
A2s, paired60.43857.379+3.0591.05331
T9s, all flops45.43754.028-8.5910.84099
T9s, rainbow, ten or higher45.97054.028-8.0580.85086
T9s, rainbow, nine or lower48.79654.028-5.2320.90316
T9s, two-tone46.64454.028-7.3840.86333
T9s, monotone47.25254.028-6.7760.87458
T9s, paired39.56254.028-14.4660.73225

Does a shared suit matter?

Looking only at deals where the hands share a suit, A2s has 56.12%; looking only at deals where they do not, 54.04%. A2s does better with a shared suit, by 2.08 points.

A2s against T9s by suit overlap, in percent
DealsSpecific dealsShare of dealsA2s winsTiesT9s winsA2s equity
Share a suit425.0055.8230.59943.57856.123
No shared suit1275.0053.7980.49045.71254.043

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 16 are A2s in one seat and T9s in the other (0.0010%); with the seats swapped too, 32 (0.0020%).

A worked example

Take a $200 pot built from $100 each. A2s' equity of 54.56% is worth $109.12, a $9.12 edge, and T9s' 45.44% is worth $90.88, which is $9.12 under its stake.

Per 1,000 deals: A2s wins about 543, T9s wins about 452, and about 5 end in a split pot.

The same matchup from the other side

Read it from the other side: T9s against A2s is the same matchup with the numbers swapped, so T9s holds 45.44% and A2s holds 54.56%. That address sends you back to this page.

Open the calculator with As2s against Th9h already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.

How this was computed

We counted every case. Each suit pattern of the 16 specific A2s against T9s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.

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

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