A6s vs T9s: preflop equity

Before any board card is dealt, A6s holds 54.91% equity against T9s, which leaves T9s with 45.09%.

A6s

54.91%

Wins 54.67%, ties 0.47%

T9s

45.09%

Wins 44.86%, ties 0.47%

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

A6s against T9s: the numbers

Exact preflop results for A6s against T9s, in percent
HandWinsTiesLosesEquity
A6s54.6730.46944.85854.907
T9s44.8580.46954.67345.093

This is a contest between two suited hands, A6s and T9s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

With only 9.82 points between them, the board decides this matchup far more than the cards in hand. Of every 100 boards, about 0.47 are split pots, and the equity figures already include them.

A6s ranks number 31 of 169 starting hands, and T9s ranks number 64, by equity against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A6s14,979,000128,00012,290,000
T9s12,290,000128,00014,979,000

16 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.

A6s against T9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A6s1.2181.8292.2290.821
T9s0.8212.2291.8291.218

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

If you know the kind of flop that came, the numbers shift: A6s holds 60.71% on paired flops and 52.53% on low rainbow flops (nine high or lower). A6s stays ahead on all five textures.

A6s against T9s by flop texture, in percent
FlopShare of flopsA6s winsTiesT9s winsA6s equity
Rainbow, ten or higher24.54354.1280.15945.71354.208
Rainbow, nine or lower6.36652.2480.57047.18252.533
Two-tone46.72753.5850.22346.19253.696
Monotone5.27351.2493.39345.35852.946
Paired17.09160.3890.64538.96660.712

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: 59.91% for A6s, 54.03% for T9s. Here the change is -5.00 and -8.94 points.

A6s and T9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A6s, all flops54.90759.906-4.9990.91655
A6s, rainbow, ten or higher54.20859.906-5.6980.90488
A6s, rainbow, nine or lower52.53359.906-7.3730.87692
A6s, two-tone53.69659.906-6.2100.89634
A6s, monotone52.94659.906-6.9600.88382
A6s, paired60.71259.906+0.8061.01345
T9s, all flops45.09354.028-8.9350.83462
T9s, rainbow, ten or higher45.79254.028-8.2360.84756
T9s, rainbow, nine or lower47.46754.028-6.5610.87856
T9s, two-tone46.30454.028-7.7240.85704
T9s, monotone47.05454.028-6.9740.87092
T9s, paired39.28854.028-14.7400.72718

Does a shared suit matter?

Does suit overlap move the numbers? A6s has 56.53% when the hands share a suit and 54.37% when they do not. A6s does better with a shared suit, by 2.16 points.

A6s against T9s by suit overlap, in percent
DealsSpecific dealsShare of dealsA6s winsTiesT9s winsA6s equity
Share a suit425.0056.2590.54443.19756.531
No shared suit1275.0054.1440.44345.41354.366

How often this matchup comes up

Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, A6s' average share is $109.82 (a gain of $9.82) and T9s' is $90.18 (a loss of $9.82).

Run 1,000 deals and the tally comes out near 547 for A6s, 448 for T9s and 5 ties.

The same matchup from the other side

Read it from the other side: T9s against A6s is the same matchup with the numbers swapped, so T9s holds 45.09% and A6s holds 54.91%. That address sends you back to this page.

The calculator link fills in As6s against Th9h, 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

Nothing here is simulated. The 16 deals of A6s 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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