A7s vs T9s: preflop equity

Averaged over every possible board, A7s is ahead of T9s by 10.98 points of equity, 55.49% to 44.51%.

A7s

55.49%

Wins 55.26%, ties 0.46%

T9s

44.51%

Wins 44.28%, ties 0.46%

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

A7s against T9s: the numbers

Exact preflop results for A7s against T9s, in percent
HandWinsTiesLosesEquity
A7s55.2590.46244.27955.490
T9s44.2790.46255.25944.510

Two suited hands meet here: A7s against T9s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

A 10.98 point lead is real, and T9s still takes about 443 of every 1,000 deals outright. Ties are 0.46% of the outcomes here; each tied board gives both hands half the pot.

Ranked by equity against a random hand, A7s is number 24 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
A7s15,139,000127,00012,131,000
T9s12,131,000127,00015,139,000

The board total is exact, 16 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

A7s against T9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A7s1.2471.8102.2580.802
T9s0.8022.2581.8101.247

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

By flop texture, A7s' equity runs from 53.15% on low rainbow flops (nine high or lower) up to 61.08% on paired flops. A7s stays ahead on all five textures.

A7s against T9s by flop texture, in percent
FlopShare of flopsA7s winsTiesT9s winsA7s equity
Rainbow, ten or higher24.54354.8430.18744.97054.937
Rainbow, nine or lower6.36652.9400.41946.64153.149
Two-tone46.72754.1900.21645.59454.298
Monotone5.27351.6563.38944.95553.351
Paired17.09160.7550.64138.60461.076

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

Each hand has a baseline against a random hand: 60.98% for A7s, 54.03% for T9s. Here the change is -5.49 and -9.52 points.

A7s and T9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A7s, all flops55.49060.984-5.4940.90991
A7s, rainbow, ten or higher54.93760.984-6.0470.90084
A7s, rainbow, nine or lower53.14960.984-7.8350.87152
A7s, two-tone54.29860.984-6.6860.89036
A7s, monotone53.35160.984-7.6330.87484
A7s, paired61.07660.984+0.0921.00151
T9s, all flops44.51054.028-9.5180.82383
T9s, rainbow, ten or higher45.06354.028-8.9650.83407
T9s, rainbow, nine or lower46.85154.028-7.1770.86716
T9s, two-tone45.70254.028-8.3260.84589
T9s, monotone46.64954.028-7.3790.86342
T9s, paired38.92454.028-15.1040.72044

Does a shared suit matter?

When the hands share a suit, A7s holds 57.20%; when they do not, it holds 54.92%. A7s does better with a shared suit, by 2.28 points.

A7s against T9s by suit overlap, in percent
DealsSpecific dealsShare of dealsA7s winsTiesT9s winsA7s equity
Share a suit425.0056.9350.53642.52957.203
No shared suit1275.0054.7010.43744.86254.919

How often this matchup comes up

A7s against T9s is made up of 16 specific-card matchups in one seat order, 0.0010% of the 1,624,350 ordered deals, and 32 counting both seat orders, 0.0020%.

A worked example

Put $100 each into a $200 pot and deal every board once: A7s averages $110.98 back, ahead of its $100 by $10.98, while T9s averages $89.02, short of its $100 by $10.98.

Run 1,000 deals and the tally comes out near 552 for A7s, 443 for T9s and 5 ties.

The same matchup from the other side

The reversed view, T9s against A7s, shows 44.51% for T9s and 55.49% for A7s. It is the same count, so it redirects here.

As7s against Th9h is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.

How this was computed

Nothing here is simulated. The 16 deals of A7s against T9s 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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