A5s vs T9s: preflop equity

Before any board card is dealt, A5s holds 54.65% equity against T9s, which leaves T9s with 45.35%.

A5s

54.65%

Wins 54.39%, ties 0.51%

T9s

45.35%

Wins 45.10%, ties 0.51%

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

A5s against T9s: the numbers

Exact preflop results for A5s against T9s, in percent
HandWinsTiesLosesEquity
A5s54.3930.50545.10254.646
T9s45.1020.50554.39345.354

Two suited hands meet here: A5s against T9s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

With only 9.30 points between them, the board decides this matchup far more than the cards in hand. Ties are 0.51% of the outcomes here; each tied board gives both hands half the pot.

The hand ranking puts A5s at 30 and T9s at 64 out of 169 starting hands.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A5s14,902,000138,00012,357,000
T9s12,357,000138,00014,902,000

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.

A5s against T9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A5s1.2051.8382.2170.830
T9s0.8302.2171.8381.205

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, A5s' equity runs from 51.59% on low rainbow flops (nine high or lower) up to 60.44% on paired flops. A5s stays ahead on all five textures.

A5s against T9s by flop texture, in percent
FlopShare of flopsA5s winsTiesT9s winsA5s equity
Rainbow, ten or higher24.54353.9710.19345.83654.068
Rainbow, nine or lower6.36651.2580.66348.07951.590
Two-tone46.72753.3190.26546.41653.452
Monotone5.27351.1053.42745.46852.818
Paired17.09160.1200.64939.23160.444

Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.

Compared with a random hand

A random hand would give A5s 59.92% and T9s 54.03%. Against each other the change is -5.27 points for A5s and -8.68 for T9s.

A5s and T9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A5s, all flops54.64659.923-5.2770.91194
A5s, rainbow, ten or higher54.06859.923-5.8550.90229
A5s, rainbow, nine or lower51.59059.923-8.3330.86094
A5s, two-tone53.45259.923-6.4710.89201
A5s, monotone52.81859.923-7.1050.88143
A5s, paired60.44459.923+0.5211.00869
T9s, all flops45.35454.028-8.6740.83945
T9s, rainbow, ten or higher45.93254.028-8.0960.85015
T9s, rainbow, nine or lower48.41054.028-5.6180.89602
T9s, two-tone46.54854.028-7.4800.86155
T9s, monotone47.18254.028-6.8460.87329
T9s, paired39.55654.028-14.4720.73214

Does a shared suit matter?

Two kinds of deal exist here. In 4 of them the hands share a suit and A5s holds 56.21%. In 12 they do not, and it holds 54.12%. A5s does better with a shared suit, by 2.09 points.

A5s against T9s by suit overlap, in percent
DealsSpecific dealsShare of dealsA5s winsTiesT9s winsA5s equity
Share a suit425.0055.9210.58643.49356.214
No shared suit1275.0053.8840.47845.63854.123

How often this matchup comes up

Counting specific cards, A5s against T9s appears in 16 of the 1,624,350 ordered heads-up deals (0.0010%), and in 32 when the seats are swapped too (0.0020%).

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. A5s averages $109.30 from the $200, up $9.30; T9s averages $90.70, down $9.30.

Scaled to 1,000 deals, that is roughly 544 wins for A5s, 451 for T9s and 5 chopped pots.

The same matchup from the other side

If you came looking for T9s against A5s, the numbers are the same with the hands swapped: 45.35% and 54.65%.

Open the calculator with As5s 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

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 16 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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