AJs vs A8s: preflop equity

The exact count puts AJs at 69.80% and A8s at 30.20% when the two hands see all five board cards.

AJs

69.80%

Wins 66.24%, ties 7.14%

A8s

30.20%

Wins 26.62%, ties 7.14%

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

AJs against A8s: the numbers

Exact preflop results for AJs against A8s, in percent
HandWinsTiesLosesEquity
AJs66.2357.13826.62769.804
A8s26.6277.13866.23530.196

AJs meets A8s, and both are suited hands. 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.

AJs is well ahead, and A8s needs a specific kind of board to catch up. A split pot comes up on 7.14% of boards, so the wins and the equity differ by half of that.

For context, AJs sits at number 11 of 169 starting hands and A8s at number 21 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
AJs13,610,0001,467,0005,471,000
A8s5,471,0001,467,00013,610,000

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.

AJs against A8s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AJs2.3121.5103.7560.433
A8s0.4333.7561.5102.312

The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.

Who is ahead on which flops

Across the five flop textures AJs' equity moves by 17.09 points, from 59.11% on low rainbow flops (nine high or lower) to 76.20% on rainbow flops topped by a ten or better. AJs stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

AJs against A8s by flop texture, in percent
FlopShare of flopsAJs winsTiesA8s winsAJs equity
Rainbow, ten or higher23.86773.4925.41621.09276.200
Rainbow, nine or lower7.04257.0434.12938.82859.108
Two-tone46.54367.0924.64928.25969.416
Monotone5.21560.6796.27133.05063.815
Paired17.33359.35117.67422.97568.188

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

How much does the opponent matter? Compared with its random-hand 65.39%, AJs changes by +4.41 points, and A8s, from 61.94%, by -31.74.

AJs and A8s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AJs, all flops69.80465.393+4.4111.06745
AJs, rainbow, ten or higher76.20065.393+10.8071.16526
AJs, rainbow, nine or lower59.10865.393-6.2850.90389
AJs, two-tone69.41665.393+4.0231.06152
AJs, monotone63.81565.393-1.5780.97587
AJs, paired68.18865.393+2.7951.04274
A8s, all flops30.19661.944-31.7480.48747
A8s, rainbow, ten or higher23.80061.944-38.1440.38422
A8s, rainbow, nine or lower40.89261.944-21.0520.66014
A8s, two-tone30.58461.944-31.3600.49374
A8s, monotone36.18561.944-25.7590.58416
A8s, paired31.81261.944-30.1320.51356

Does a shared suit matter?

Suits do not split this matchup, because no legal deal has the hands holding the same suit.

AJs against A8s by suit overlap, in percent
DealsSpecific dealsShare of dealsAJs winsTiesA8s winsAJs equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0066.2357.13826.62769.804

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 12 are AJs in one seat and A8s in the other (0.0007%); with the seats swapped too, 24 (0.0015%).

A worked example

Put $100 each into a $200 pot and deal every board once: AJs averages $139.60 back, ahead of its $100 by $39.60, while A8s averages $60.40, short of its $100 by $39.60.

In 1,000 deals of exactly this matchup, expect about 662 won outright by AJs, about 266 won outright by A8s and about 72 split.

The same matchup from the other side

The mirror image, A8s against AJs, is 30.20% to 69.80%, and its address redirects to this page.

Open the calculator with AsJs against Ah8h 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 12 specific deals of AJs against A8s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.

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

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