AKo vs JTo: preflop equity

If AKo and JTo get all the chips in before the flop, AKo owns 63.12% of the pot in the long run and JTo owns 36.88%.

AKo

63.12%

Wins 62.90%, ties 0.45%

JTo

36.88%

Wins 36.65%, ties 0.45%

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

AKo against JTo: the numbers

Exact preflop results for AKo against JTo, in percent
HandWinsTiesLosesEquity
AKo62.8990.44536.65663.122
JTo36.6560.44562.89936.878

This is a contest between two offsuit hands, AKo and JTo. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

AKo is ahead, but JTo is far from dead: it takes 367 of every 1,000 deals outright. About 0.45% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

Place 12 of 169 belongs to AKo and place 57 belongs to JTo in the ranking against a random hand.

Boards behind the percentages: 246,571,776 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AKo155,091,0001,097,00090,383,000
JTo90,383,0001,097,000155,091,000

144 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 JTo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AKo1.7121.5902.7280.584
JTo0.5842.7281.5901.712

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

Break the boards down by their first three cards and AKo is strongest on low rainbow flops (nine high or lower) (69.90%) and weakest on rainbow flops topped by a ten or better (60.00%). AKo stays ahead on all five textures.

AKo against JTo by flop texture, in percent
FlopShare of flopsAKo winsTiesJTo winsAKo equity
Rainbow, ten or higher23.38159.9410.12339.93660.003
Rainbow, nine or lower7.77169.4140.96929.61769.898
Two-tone46.60662.3650.32037.31562.525
Monotone5.15161.5911.70336.70662.442
Paired17.09165.8350.60833.55766.139

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

Start from the random-hand figures, 65.32% for AKo and 55.25% for JTo. This opponent changes them by -2.20 and -18.37 points.

AKo and JTo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AKo, all flops63.12265.320-2.1980.96635
AKo, rainbow, ten or higher60.00365.320-5.3170.91860
AKo, rainbow, nine or lower69.89865.320+4.5781.07009
AKo, two-tone62.52565.320-2.7950.95721
AKo, monotone62.44265.320-2.8780.95594
AKo, paired66.13965.320+0.8191.01254
JTo, all flops36.87855.248-18.3700.66750
JTo, rainbow, ten or higher39.99755.248-15.2510.72395
JTo, rainbow, nine or lower30.10255.248-25.1460.54485
JTo, two-tone37.47555.248-17.7730.67831
JTo, monotone37.55855.248-17.6900.67981
JTo, paired33.86155.248-21.3870.61289

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common AKo has 63.22% equity, and with none in common it has 62.61%. AKo does better with a shared suit, by 0.61 points.

AKo against JTo by suit overlap, in percent
DealsSpecific dealsShare of dealsAKo winsTiesJTo winsAKo equity
Share a suit12083.3362.9940.46036.54663.224
No shared suit2416.6762.4280.36537.20762.611

How often this matchup comes up

You will meet this exact matchup 0.0177% of the time in a random heads-up deal: 288 of 1,624,350, counting either seat order.

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says AKo gets $126.24 of it on average and JTo gets $73.76.

Out of 1,000 deals you should see around 629 outright wins for AKo, 367 for JTo, and 4 split pots.

The same matchup from the other side

The reversed view, JTo against AKo, shows 36.88% for JTo and 63.12% for AKo. It is the same count, so it redirects here.

Open the calculator with AsKh against JdTc 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

Each figure is a complete count over boards. Take the 144 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

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