A5s vs T9o: preflop equity

Before any board card is dealt, A5s holds 57.30% equity against T9o, which leaves T9o with 42.70%.

A5s

57.30%

Wins 57.07%, ties 0.46%

T9o

42.70%

Wins 42.47%, ties 0.46%

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

A5s against T9o: the numbers

Exact preflop results for A5s against T9o, in percent
HandWinsTiesLosesEquity
A5s57.0650.45942.47657.295
T9o42.4760.45957.06542.705

One side is a suited hand, the other is an offsuit hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

A 14.60 point lead is real, and T9o still takes about 425 of every 1,000 deals outright. Ties are part of the picture: 0.46% of boards end in a split pot, and each side counts that as half a win.

Among the 169 starting hands, A5s is number 30 and T9o is number 78 by strength against a random hand.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A5s46,902,000377,00034,911,000
T9o34,911,000377,00046,902,000

48 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.

A5s against T9o read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A5s1.3421.7522.3540.745
T9o0.7452.3541.7521.342

The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.

Who is ahead on which flops

Across the five flop textures A5s' equity moves by 9.99 points, from 53.25% on low rainbow flops (nine high or lower) to 63.24% on paired flops. A5s stays ahead on all five textures.

A5s against T9o by flop texture, in percent
FlopShare of flopsA5s winsTiesT9o winsA5s equity
Rainbow, ten or higher24.66555.3740.20244.42455.475
Rainbow, nine or lower6.36552.9010.68946.41053.246
Two-tone46.66756.7790.27942.94256.918
Monotone5.21253.5492.37944.07254.738
Paired17.09162.9110.64936.44063.236

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

A random hand would give A5s 59.92% and T9o 51.53%. Against each other the change is -2.62 points for A5s and -8.83 for T9o.

A5s and T9o here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A5s, all flops57.29559.923-2.6280.95614
A5s, rainbow, ten or higher55.47559.923-4.4480.92577
A5s, rainbow, nine or lower53.24659.923-6.6770.88857
A5s, two-tone56.91859.923-3.0050.94985
A5s, monotone54.73859.923-5.1850.91347
A5s, paired63.23659.923+3.3131.05529
T9o, all flops42.70551.532-8.8270.82871
T9o, rainbow, ten or higher44.52551.532-7.0070.86403
T9o, rainbow, nine or lower46.75451.532-4.7780.90728
T9o, two-tone43.08251.532-8.4500.83602
T9o, monotone45.26251.532-6.2700.87833
T9o, paired36.76451.532-14.7680.71342

Does a shared suit matter?

When the hands share a suit, A5s holds 56.94%; when they do not, it holds 57.65%. A5s does better with no shared suit, by 0.71 points.

A5s against T9o by suit overlap, in percent
DealsSpecific dealsShare of dealsA5s winsTiesT9o winsA5s equity
Share a suit2450.0056.6890.50242.80956.940
No shared suit2450.0057.4420.41642.14257.650

How often this matchup comes up

You will meet this exact matchup 0.0059% of the time in a random heads-up deal: 96 of 1,624,350, counting either seat order.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, A5s' average share is $114.60 (a gain of $14.60) and T9o's is $85.40 (a loss of $14.60).

Run 1,000 deals and the tally comes out near 571 for A5s, 425 for T9o and 4 ties.

The same matchup from the other side

The mirror image, T9o against A5s, is 42.70% to 57.30%, and its address redirects to this page.

Open the calculator with As5s against Th9d 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 48 specific deals of A5s against T9o, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.

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

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