A8s vs A5s: preflop equity

Dealt all in against each other, A8s takes 63.00% of the pot on average and A5s takes the other 37.00%.

A8s

63.00%

Wins 53.58%, ties 18.84%

A5s

37.00%

Wins 27.58%, ties 18.84%

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

A8s against A5s: the numbers

Exact preflop results for A8s against A5s, in percent
HandWinsTiesLosesEquity
A8s53.57518.84027.58562.995
A5s27.58518.84053.57537.005

A8s meets A5s, and both are suited hands. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.

The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are 18.84% of the outcomes here; each tied board gives both hands half the pot.

For context, A8s sits at number 21 of 169 starting hands and A5s at number 30 when each is run against a random hand.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A8s11,008,0003,871,0005,668,000
A5s5,668,0003,871,00011,008,000

Exact total: 12 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.

A8s against A5s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A8s1.7021.8673.6250.587
A5s0.5873.6251.8671.702

The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.

Who is ahead on which flops

Split by what the flop looks like, A8s peaks at 65.98% on rainbow flops topped by a ten or better and bottoms out at 58.92% on paired flops. A8s stays ahead on all five textures.

A8s against A5s by flop texture, in percent
FlopShare of flopsA8s winsTiesA5s winsA8s equity
Rainbow, ten or higher24.52656.30819.34024.35265.978
Rainbow, nine or lower6.38360.1135.55334.33462.890
Two-tone46.54355.99714.68729.31663.340
Monotone5.21552.84313.47433.68359.580
Paired17.33341.01835.79323.18958.915

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

Relative to a random opponent, A8s changes by +1.06 points (baseline 61.94%) and A5s by -22.92 points (baseline 59.92%).

A8s and A5s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A8s, all flops62.99561.944+1.0511.01697
A8s, rainbow, ten or higher65.97861.944+4.0341.06512
A8s, rainbow, nine or lower62.89061.944+0.9461.01527
A8s, two-tone63.34061.944+1.3961.02254
A8s, monotone59.58061.944-2.3640.96184
A8s, paired58.91561.944-3.0290.95110
A5s, all flops37.00559.923-22.9180.61754
A5s, rainbow, ten or higher34.02259.923-25.9010.56776
A5s, rainbow, nine or lower37.11059.923-22.8130.61929
A5s, two-tone36.66059.923-23.2630.61179
A5s, monotone40.42059.923-19.5030.67453
A5s, paired41.08559.923-18.8380.68563

Does a shared suit matter?

These two classes cannot share a suit in any legal deal, so there is only one row to read: A8s holds 63.00% in every deal of this matchup.

A8s against A5s by suit overlap, in percent
DealsSpecific dealsShare of dealsA8s winsTiesA5s winsA8s equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0053.57518.84027.58562.995

How often this matchup comes up

Counting specific cards, A8s against A5s appears in 12 of the 1,624,350 ordered heads-up deals (0.0007%), and in 24 when the seats are swapped too (0.0015%).

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. A8s averages $126.00 from the $200, up $26.00; A5s averages $74.00, down $26.00.

Think in thousands: about 536 of 1,000 go to A8s, about 276 go to A5s, and about 188 are chopped.

The same matchup from the other side

Swap the hands and you get A5s with 37.00% against A8s with 63.00%. We keep one page per matchup, with the better-ranked hand first.

The calculator link fills in As8s against Ah5h, 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

Method: exact enumeration. The 12 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.

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

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