A8s vs KJo: preflop equity

Counting every board, the equity split is 59.68% for A8s and 40.32% for KJo, so A8s leads by 19.36 points.

A8s

59.68%

Wins 59.46%, ties 0.45%

KJo

40.32%

Wins 40.09%, ties 0.45%

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

A8s against KJo: the numbers

Exact preflop results for A8s against KJo, in percent
HandWinsTiesLosesEquity
A8s59.4560.44940.09559.680
KJo40.0950.44959.45640.320

A8s is a suited hand and KJo is an offsuit hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

The lead is steady rather than large, and the flop still has plenty of say in who wins. About 0.45% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

In the ranking of all 169 starting hands, A8s is number 21 and KJo is number 26.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A8s48,867,000369,00032,954,000
KJo32,954,000369,00048,867,000

Exact total: 48 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 KJo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A8s1.4801.6822.4940.676
KJo0.6762.4941.6821.480

In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.

Who is ahead on which flops

Across the five flop textures A8s' equity moves by 25.05 points, from 52.04% on rainbow flops topped by a ten or better to 77.09% on low rainbow flops (nine high or lower). A8s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

A8s against KJo by flop texture, in percent
FlopShare of flopsA8s winsTiesKJo winsA8s equity
Rainbow, ten or higher23.98851.9790.12647.89552.042
Rainbow, nine or lower7.04276.6460.88222.47277.087
Two-tone46.66759.2000.27440.52659.337
Monotone5.21255.1702.37342.45756.356
Paired17.09164.8740.61634.51065.182

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 61.94%, A8s changes by -2.26 points, and KJo, from 60.57%, by -20.25.

A8s and KJo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A8s, all flops59.68061.944-2.2640.96345
A8s, rainbow, ten or higher52.04261.944-9.9020.84015
A8s, rainbow, nine or lower77.08761.944+15.1431.24446
A8s, two-tone59.33761.944-2.6070.95791
A8s, monotone56.35661.944-5.5880.90979
A8s, paired65.18261.944+3.2381.05227
KJo, all flops40.32060.569-20.2490.66569
KJo, rainbow, ten or higher47.95860.569-12.6110.79179
KJo, rainbow, nine or lower22.91360.569-37.6560.37830
KJo, two-tone40.66360.569-19.9060.67135
KJo, monotone43.64460.569-16.9250.72057
KJo, paired34.81860.569-25.7510.57485

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common A8s has 59.34% equity, and with none in common it has 60.02%. A8s does better with no shared suit, by 0.68 points.

A8s against KJo by suit overlap, in percent
DealsSpecific dealsShare of dealsA8s winsTiesKJo winsA8s equity
Share a suit2450.0059.0940.48940.41759.338
No shared suit2450.0059.8180.40939.77360.023

How often this matchup comes up

A8s against KJo is made up of 48 specific-card matchups in one seat order, 0.0030% of the 1,624,350 ordered deals, and 96 counting both seat orders, 0.0059%.

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average A8s takes back $119.36 of it, which is $19.36 more than it put in, and KJo takes back $80.64, $19.36 less than it put in.

Out of 1,000 deals you should see around 595 outright wins for A8s, 401 for KJo, and 4 split pots.

The same matchup from the other side

If you came looking for KJo against A8s, the numbers are the same with the hands swapped: 40.32% and 59.68%.

Try As8s against KhJd 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 48 specific deals of A8s against KJo, 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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