A9s vs T9o: preflop equity

Counting every board, the equity split is 70.81% for A9s and 29.19% for T9o, so A9s leads by 41.62 points.

A9s

70.81%

Wins 69.94%, ties 1.74%

T9o

29.19%

Wins 28.32%, ties 1.74%

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

A9s against T9o: the numbers

Exact preflop results for A9s against T9o, in percent
HandWinsTiesLosesEquity
A9s69.9361.74128.32370.806
T9o28.3231.74169.93629.194

We compare a suited hand with an offsuit hand. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

That is a clear edge, 70.81% to 29.19%, but T9o still wins often enough that one hand proves nothing. A split pot comes up on 1.74% of boards, so the wins and the equity differ by half of that.

The hand ranking puts A9s at 18 and T9o at 78 out of 169 starting hands.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A9s43,111,0001,073,00017,459,000
T9o17,459,0001,073,00043,111,000

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.

A9s against T9o read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A9s2.4251.4303.5310.412
T9o0.4123.5311.4302.425

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

A9s prefers low rainbow flops (nine high or lower), where it holds 78.69%, and likes monotone flops least, where it holds 64.16%. A9s stays ahead on all five textures.

A9s against T9o by flop texture, in percent
FlopShare of flopsA9s winsTiesT9o winsA9s equity
Rainbow, ten or higher24.63466.6811.60031.71967.481
Rainbow, nine or lower6.31477.7851.79920.41678.685
Two-tone46.52769.6741.50028.82670.424
Monotone5.19262.6483.02234.33064.159
Paired17.33374.5902.18223.22875.681

Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.

Compared with a random hand

Against one random hand instead, A9s holds 62.78% and T9o holds 51.53%. Facing each other changes that by +8.03 points for A9s and -22.34 points for T9o.

A9s and T9o here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A9s, all flops70.80662.781+8.0251.12783
A9s, rainbow, ten or higher67.48162.781+4.7001.07486
A9s, rainbow, nine or lower78.68562.781+15.9041.25333
A9s, two-tone70.42462.781+7.6431.12174
A9s, monotone64.15962.781+1.3781.02195
A9s, paired75.68162.781+12.9001.20548
T9o, all flops29.19451.532-22.3380.56652
T9o, rainbow, ten or higher32.51951.532-19.0130.63104
T9o, rainbow, nine or lower21.31551.532-30.2170.41363
T9o, two-tone29.57651.532-21.9560.57393
T9o, monotone35.84151.532-15.6910.69551
T9o, paired24.31951.532-27.2130.47192

Does a shared suit matter?

When the hands share a suit, A9s holds 70.49%; when they do not, it holds 70.97%. A9s does better with no shared suit, by 0.48 points.

A9s against T9o by suit overlap, in percent
DealsSpecific dealsShare of dealsA9s winsTiesT9o winsA9s equity
Share a suit1233.3369.5631.84828.58970.487
No shared suit2466.6770.1231.68728.19070.966

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 36 are A9s in one seat and T9o in the other (0.0022%); with the seats swapped too, 72 (0.0044%).

A worked example

With $100 from each side, the $200 pot is split on average as $141.62 for A9s and $58.38 for T9o; the first side gains $41.62 per all-in and the second gives up $41.62.

Run 1,000 deals and the tally comes out near 699 for A9s, 283 for T9o and 18 ties.

The same matchup from the other side

Read it from the other side: T9o against A9s is the same matchup with the numbers swapped, so T9o holds 29.19% and A9s holds 70.81%. That address sends you back to this page.

The calculator link fills in As9s against Th9d, 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

This is an exact count with no sampling. For the 36 ways to deal one A9s and one T9o without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.

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

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