AKs vs A8s: preflop equity

The exact count puts AKs at 70.94% and A8s at 29.06% when the two hands see all five board cards.

AKs

70.94%

Wins 68.80%, ties 4.28%

A8s

29.06%

Wins 26.92%, ties 4.28%

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

AKs against A8s: the numbers

Exact preflop results for AKs against A8s, in percent
HandWinsTiesLosesEquity
AKs68.8034.28026.91770.943
A8s26.9174.28068.80329.057

Both hands are suited hands: AKs and A8s. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.

AKs is the clear favorite, though A8s gets there on roughly one board in 3. The tie share is 4.28%: on those boards the pot is chopped and neither hand wins outright.

Among the 169 starting hands, AKs is number 8 and A8s is number 21 by strength against a random hand.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AKs14,137,000879,0005,531,000
A8s5,531,000879,00014,137,000

The board total is exact, 12 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

AKs against A8s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AKs2.4421.4533.7150.410
A8s0.4103.7151.4532.442

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

Break the boards down by their first three cards and AKs is strongest on rainbow flops topped by a ten or better (77.41%) and weakest on low rainbow flops (nine high or lower) (58.49%). AKs stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

AKs against A8s by flop texture, in percent
FlopShare of flopsAKs winsTiesA8s winsAKs equity
Rainbow, ten or higher23.86776.2222.37821.40077.411
Rainbow, nine or lower7.04256.3794.22139.40058.490
Two-tone46.54368.9322.50028.56870.182
Monotone5.21562.2454.50733.24864.498
Paired17.33365.26211.63423.10471.079

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

A random hand would give AKs 67.05% and A8s 61.94%. Against each other the change is +3.89 points for AKs and -32.88 for A8s.

AKs and A8s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AKs, all flops70.94367.045+3.8981.05814
AKs, rainbow, ten or higher77.41167.045+10.3661.15461
AKs, rainbow, nine or lower58.49067.045-8.5550.87240
AKs, two-tone70.18267.045+3.1371.04679
AKs, monotone64.49867.045-2.5470.96201
AKs, paired71.07967.045+4.0341.06017
A8s, all flops29.05761.944-32.8870.46908
A8s, rainbow, ten or higher22.58961.944-39.3550.36467
A8s, rainbow, nine or lower41.51061.944-20.4340.67012
A8s, two-tone29.81861.944-32.1260.48137
A8s, monotone35.50261.944-26.4420.57313
A8s, paired28.92161.944-33.0230.46689

Does a shared suit matter?

For this pair the shared-suit row is empty: the two hands cannot both own a card of one suit without reusing a card.

AKs against A8s by suit overlap, in percent
DealsSpecific dealsShare of dealsAKs winsTiesA8s winsAKs equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0068.8034.28026.91770.943

How often this matchup comes up

Exactly 12 specific deals fit this matchup in one seat order, which is 0.0007% of 1,624,350; both orders together give 24, or 0.0015%.

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. AKs averages $141.88 from the $200, up $41.88; A8s averages $58.12, down $41.88.

Run 1,000 deals and the tally comes out near 688 for AKs, 269 for A8s and 43 ties.

The same matchup from the other side

The mirror image, A8s against AKs, is 29.06% to 70.94%, and its address redirects to this page.

Try AsKs against Ah8h in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.

How this was computed

The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 12 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.

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

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