AJo vs JTo: preflop equity

Before any board card is dealt, AJo holds 71.35% equity against JTo, which leaves JTo with 28.65%.

AJo

71.35%

Wins 70.45%, ties 1.79%

JTo

28.65%

Wins 27.76%, ties 1.79%

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

AJo against JTo: the numbers

Exact preflop results for AJo against JTo, in percent
HandWinsTiesLosesEquity
AJo70.4521.78727.76171.346
JTo27.7611.78770.45228.654

The matchup is offsuit hands on both sides, AJo against JTo. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

AJo is the clear favorite, though JTo gets there on roughly one board in 3. 1.79% of boards are ties, so the equity of each hand is its win rate plus half of that.

By strength against a random hand, AJo holds place 15 of 169 and JTo holds place 57.

Boards behind the percentages: 184,928,832 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AJo130,286,0003,305,00051,338,000
JTo51,338,0003,305,000130,286,000

The board total is exact, 108 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

AJo against JTo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AJo2.4901.4193.6020.402
JTo0.4023.6021.4192.490

The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.

Who is ahead on which flops

The flop changes the picture. AJo does best on low rainbow flops (nine high or lower), at 78.82%, and worst on rainbow flops topped by a ten or better, at 67.95%. AJo stays ahead on all five textures.

AJo against JTo by flop texture, in percent
FlopShare of flopsAJo winsTiesJTo winsAJo equity
Rainbow, ten or higher23.27567.0981.69431.20867.945
Rainbow, nine or lower7.77178.0121.61820.37078.821
Two-tone46.47769.6021.61228.78670.408
Monotone5.14466.8162.51030.67468.071
Paired17.33374.9252.24422.83176.047

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 +7.79 points for AJo, from 63.56%, and -26.60 for JTo, from 55.25%.

AJo and JTo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AJo, all flops71.34663.563+7.7831.12245
AJo, rainbow, ten or higher67.94563.563+4.3821.06894
AJo, rainbow, nine or lower78.82163.563+15.2581.24005
AJo, two-tone70.40863.563+6.8451.10769
AJo, monotone68.07163.563+4.5081.07092
AJo, paired76.04763.563+12.4841.19640
JTo, all flops28.65455.248-26.5940.51864
JTo, rainbow, ten or higher32.05555.248-23.1930.58020
JTo, rainbow, nine or lower21.17955.248-34.0690.38334
JTo, two-tone29.59255.248-25.6560.53562
JTo, monotone31.92955.248-23.3190.57792
JTo, paired23.95355.248-31.2950.43355

Does a shared suit matter?

Does suit overlap move the numbers? AJo has 71.51% when the hands share a suit and 70.79% when they do not. AJo does better with a shared suit, by 0.72 points.

AJo against JTo by suit overlap, in percent
DealsSpecific dealsShare of dealsAJo winsTiesJTo winsAJo equity
Share a suit8477.7870.6001.81227.58871.506
No shared suit2422.2269.9361.70128.36370.786

How often this matchup comes up

This page stands for 108 specific-card matchups (0.0066% of 1,624,350 ordered deals), or 216 once you count the seats both ways (0.0133%).

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average AJo takes back $142.70 of it, which is $42.70 more than it put in, and JTo takes back $57.30, $42.70 less than it put in.

Over a long run, 1,000 deals split into about 704 for AJo, 278 for JTo and 18 tied.

The same matchup from the other side

Swap the hands and you get JTo with 28.65% against AJo with 71.35%. We keep one page per matchup, with the better-ranked hand first.

AsJh against JdTc is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.

How this was computed

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 108 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.

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

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