AKo vs A8s: preflop equity

Before any board card is dealt, AKo holds 69.68% equity against A8s, which leaves A8s with 30.32%.

AKo

69.68%

Wins 67.43%, ties 4.50%

A8s

30.32%

Wins 28.07%, ties 4.50%

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

AKo against A8s: the numbers

Exact preflop results for AKo against A8s, in percent
HandWinsTiesLosesEquity
AKo67.4324.50028.06869.682
A8s28.0684.50067.43230.318

One side is an offsuit hand, the other is a suited hand. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

A lead of 39.36 points is large but not decisive: A8s still takes about 281 of every 1,000 deals. The tie share is 4.50%: on those boards the pot is chopped and neither hand wins outright.

In the ranking of all 169 starting hands, AKo is number 12 and A8s is number 21.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AKo41,567,0002,774,00017,302,000
A8s17,302,0002,774,00041,567,000

Exact total: 36 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.

AKo against A8s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AKo2.2981.4833.5630.435
A8s0.4353.5631.4832.298

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

AKo prefers rainbow flops topped by a ten or better, where it holds 76.80%, and likes low rainbow flops (nine high or lower) least, where it holds 56.95%. AKo stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

AKo against A8s by flop texture, in percent
FlopShare of flopsAKo winsTiesA8s winsAKo equity
Rainbow, ten or higher23.90575.5772.45221.97176.803
Rainbow, nine or lower7.04254.7484.39540.85756.945
Two-tone46.52767.1182.71430.16868.475
Monotone5.19262.3174.00933.67464.321
Paired17.33463.72412.31123.96569.880

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 AKo 65.32% and A8s 61.94%. Against each other the change is +4.36 points for AKo and -31.62 for A8s.

AKo and A8s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AKo, all flops69.68265.320+4.3621.06678
AKo, rainbow, ten or higher76.80365.320+11.4831.17580
AKo, rainbow, nine or lower56.94565.320-8.3750.87179
AKo, two-tone68.47565.320+3.1551.04830
AKo, monotone64.32165.320-0.9990.98471
AKo, paired69.88065.320+4.5601.06981
A8s, all flops30.31861.944-31.6260.48944
A8s, rainbow, ten or higher23.19761.944-38.7470.37448
A8s, rainbow, nine or lower43.05561.944-18.8890.69506
A8s, two-tone31.52561.944-30.4190.50893
A8s, monotone35.67961.944-26.2650.57599
A8s, paired30.12061.944-31.8240.48625

Does a shared suit matter?

When the hands share a suit, AKo holds 70.52%; when they do not, it holds 69.26%. AKo does better with a shared suit, by 1.26 points.

AKo against A8s by suit overlap, in percent
DealsSpecific dealsShare of dealsAKo winsTiesA8s winsAKo equity
Share a suit1233.3368.2284.58027.19270.518
No shared suit2466.6767.0334.46128.50669.264

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 36 are AKo in one seat and A8s in the other (0.0022%); with the seats swapped too, 72 (0.0044%).

A worked example

Take a $200 pot built from $100 each. AKo's equity of 69.68% is worth $139.36, a $39.36 edge, and A8s' 30.32% is worth $60.64, which is $39.36 under its stake.

Out of 1,000 deals you should see around 674 outright wins for AKo, 281 for A8s, and 45 split pots.

The same matchup from the other side

Read it from the other side: A8s against AKo is the same matchup with the numbers swapped, so A8s holds 30.32% and AKo holds 69.68%. That address sends you back to this page.

Open the calculator with AsKh against Ad8d 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

This is an exact count with no sampling. For the 36 ways to deal one AKo and one A8s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.

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

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