AKo vs KJo: preflop equity

Averaged over every possible board, AKo is ahead of KJo by 48.90 points of equity, 74.45% to 25.55%.

AKo

74.45%

Wins 73.88%, ties 1.14%

KJo

25.55%

Wins 24.98%, ties 1.14%

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

AKo against KJo: the numbers

Exact preflop results for AKo against KJo, in percent
HandWinsTiesLosesEquity
AKo73.8751.14424.98174.447
KJo24.9811.14473.87525.553

Both hands are offsuit hands: AKo and KJo. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.

That is a clear edge, 74.45% to 25.55%, but KJo still wins often enough that one hand proves nothing. About 1.14% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

Ranked by equity against a random hand, AKo is number 12 of the 169 starting hands and KJo is number 26.

Boards behind the percentages: 184,928,832 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AKo136,616,0002,116,00046,197,000
KJo46,197,0002,116,000136,616,000

The total is exact: 108 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

AKo against KJo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AKo2.9131.3544.0030.343
KJo0.3434.0031.3542.913

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

Across the five flop textures AKo's equity moves by 15.92 points, from 70.14% on rainbow flops topped by a ten or better to 86.06% on low rainbow flops (nine high or lower). 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 KJo by flop texture, in percent
FlopShare of flopsAKo winsTiesKJo winsAKo equity
Rainbow, ten or higher23.27569.7430.79329.46470.139
Rainbow, nine or lower7.77185.4291.26313.30886.061
Two-tone46.47773.3020.87725.82173.740
Monotone5.14469.5041.98228.51470.495
Paired17.33377.0782.02720.89578.092

Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.

Compared with a random hand

Each hand has a baseline against a random hand: 65.32% for AKo, 60.57% for KJo. Here the change is +9.13 and -35.02 points.

AKo and KJo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AKo, all flops74.44765.320+9.1271.13973
AKo, rainbow, ten or higher70.13965.320+4.8191.07378
AKo, rainbow, nine or lower86.06165.320+20.7411.31753
AKo, two-tone73.74065.320+8.4201.12890
AKo, monotone70.49565.320+5.1751.07923
AKo, paired78.09265.320+12.7721.19553
KJo, all flops25.55360.569-35.0160.42188
KJo, rainbow, ten or higher29.86160.569-30.7080.49301
KJo, rainbow, nine or lower13.93960.569-46.6300.23013
KJo, two-tone26.26060.569-34.3090.43356
KJo, monotone29.50560.569-31.0640.48713
KJo, paired21.90860.569-38.6610.36170

Does a shared suit matter?

The suit split reads 74.62% for AKo with a shared suit and 73.85% without one. AKo does better with a shared suit, by 0.77 points.

AKo against KJo by suit overlap, in percent
DealsSpecific dealsShare of dealsAKo winsTiesKJo winsAKo equity
Share a suit8477.7874.0351.16624.79974.618
No shared suit2422.2273.3131.06725.62073.847

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 108 are AKo in one seat and KJo in the other (0.0066%); with the seats swapped too, 216 (0.0133%).

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. AKo is worth $148.90 on average (+$48.90); KJo is worth $51.10 (-$48.90).

Out of 1,000 deals you should see around 739 outright wins for AKo, 250 for KJo, and 11 split pots.

The same matchup from the other side

Read it from the other side: KJo against AKo is the same matchup with the numbers swapped, so KJo holds 25.55% and AKo holds 74.45%. That address sends you back to this page.

The calculator link fills in AsKh against KdJc, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.

How this was computed

The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 108 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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