A5s vs T8s: preflop equity

Dealt all in against each other, A5s takes 55.82% of the pot on average and T8s takes the other 44.18%.

A5s

55.82%

Wins 55.57%, ties 0.50%

T8s

44.18%

Wins 43.93%, ties 0.50%

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

A5s against T8s: the numbers

Exact preflop results for A5s against T8s, in percent
HandWinsTiesLosesEquity
A5s55.5740.49843.92855.823
T8s43.9280.49855.57444.177

A5s and T8s are both suited hands. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

The lead is steady rather than large, and the flop still has plenty of say in who wins. Of every 100 boards, about 0.50 are split pots, and the equity figures already include them.

Ranked by equity against a random hand, A5s is number 30 of the 169 starting hands and T8s is number 73.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A5s15,226,000136,00012,035,000
T8s12,035,000136,00015,226,000

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 T8s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A5s1.2641.7992.2760.791
T8s0.7912.2761.7991.264

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: A5s holds 61.41% on paired flops and 51.56% on low rainbow flops (nine high or lower). A5s stays ahead on all five textures.

A5s against T8s by flop texture, in percent
FlopShare of flopsA5s winsTiesT8s winsA5s equity
Rainbow, ten or higher24.54355.6810.19344.12655.777
Rainbow, nine or lower6.36651.2580.60548.13751.561
Two-tone46.72754.5010.25645.24354.629
Monotone5.27351.9513.42344.62653.663
Paired17.09161.0800.65338.26761.406

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

Compared with a random hand

Against one random hand instead, A5s holds 59.92% and T8s holds 52.33%. Facing each other changes that by -4.10 points for A5s and -8.15 points for T8s.

A5s and T8s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A5s, all flops55.82359.923-4.1000.93158
A5s, rainbow, ten or higher55.77759.923-4.1460.93081
A5s, rainbow, nine or lower51.56159.923-8.3620.86045
A5s, two-tone54.62959.923-5.2940.91165
A5s, monotone53.66359.923-6.2600.89553
A5s, paired61.40659.923+1.4831.02475
T8s, all flops44.17752.334-8.1570.84414
T8s, rainbow, ten or higher44.22352.334-8.1110.84501
T8s, rainbow, nine or lower48.43952.334-3.8950.92557
T8s, two-tone45.37152.334-6.9630.86695
T8s, monotone46.33752.334-5.9970.88541
T8s, paired38.59452.334-13.7400.73746

Does a shared suit matter?

Split by suits, the deals give A5s 57.53% when the hands overlap in a suit and 55.25% when they do not. A5s does better with a shared suit, by 2.28 points.

A5s against T8s by suit overlap, in percent
DealsSpecific dealsShare of dealsA5s winsTiesT8s winsA5s equity
Share a suit425.0057.2460.57742.17757.534
No shared suit1275.0055.0170.47144.51255.252

How often this matchup comes up

Counting specific cards, A5s against T8s 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

Say each player puts $100 in before the flop, making a $200 pot. On average A5s takes back $111.64 of it, which is $11.64 more than it put in, and T8s takes back $88.36, $11.64 less than it put in.

Per 1,000 deals: A5s wins about 556, T8s wins about 439, and about 5 end in a split pot.

The same matchup from the other side

T8s versus A5s is this same page seen from the other hand: 44.18% for T8s, 55.82% for A5s.

Open the calculator with As5s against Th8h 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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