AKo vs 98s: preflop equity

In equity, AKo against 98s stands at 60.33% to 39.67%, a gap of 20.66 points.

AKo

60.33%

Wins 60.11%, ties 0.44%

98s

39.67%

Wins 39.45%, ties 0.44%

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

AKo against 98s: the numbers

Exact preflop results for AKo against 98s, in percent
HandWinsTiesLosesEquity
AKo60.1100.43739.45360.329
98s39.4530.43760.11039.671

Here an offsuit hand (AKo) meets a suited hand (98s). 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 0.44 are split pots, and the equity figures already include them.

Among the 169 starting hands, AKo is number 12 and 98s is number 83 by strength against a random hand.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AKo49,405,000359,00032,427,000
98s32,427,000359,00049,405,000

48 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.

AKo against 98s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AKo1.5211.6642.5350.658
98s0.6582.5351.6641.521

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 AKo's equity moves by 29.65 points, from 38.04% on low rainbow flops (nine high or lower) to 67.69% on rainbow flops topped by a ten or better. The lead reverses on low rainbow flops (nine high or lower): there 98s is the favorite even though AKo is ahead overall.

AKo against 98s by flop texture, in percent
FlopShare of flopsAKo winsTies98s winsAKo equity
Rainbow, ten or higher24.71767.6080.16332.22967.690
Rainbow, nine or lower6.31337.6780.72361.59938.039
Two-tone46.66758.6500.25941.09158.780
Monotone5.21257.2962.36940.33558.481
Paired17.09162.3990.62436.97762.711

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

The table below sets each hand against its own random-hand baseline: a change of -4.99 points for AKo, from 65.32%, and -11.13 for 98s, from 50.80%.

AKo and 98s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AKo, all flops60.32965.320-4.9910.92359
AKo, rainbow, ten or higher67.69065.320+2.3701.03628
AKo, rainbow, nine or lower38.03965.320-27.2810.58235
AKo, two-tone58.78065.320-6.5400.89988
AKo, monotone58.48165.320-6.8390.89530
AKo, paired62.71165.320-2.6090.96006
98s, all flops39.67150.801-11.1300.78091
98s, rainbow, ten or higher32.31050.801-18.4910.63601
98s, rainbow, nine or lower61.96150.801+11.1601.21968
98s, two-tone41.22050.801-9.5810.81140
98s, monotone41.51950.801-9.2820.81729
98s, paired37.28950.801-13.5120.73402

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common AKo has 61.04% equity, and with none in common it has 59.62%. AKo does better with a shared suit, by 1.42 points.

AKo against 98s by suit overlap, in percent
DealsSpecific dealsShare of dealsAKo winsTies98s winsAKo equity
Share a suit2450.0060.8020.47838.72061.041
No shared suit2450.0059.4190.39640.18559.617

How often this matchup comes up

Exactly 48 specific deals fit this matchup in one seat order, which is 0.0030% of 1,624,350; both orders together give 96, or 0.0059%.

A worked example

Take a $200 pot built from $100 each. AKo's equity of 60.33% is worth $120.66, a $20.66 edge, and 98s' 39.67% is worth $79.34, which is $20.66 under its stake.

Per 1,000 deals: AKo wins about 601, 98s wins about 395, and about 4 end in a split pot.

The same matchup from the other side

The mirror image, 98s against AKo, is 39.67% to 60.33%, and its address redirects to this page.

Try AsKh against 9d8d 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

Method: exact enumeration. The 48 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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