AJs vs JTo: preflop equity

Counting every board, the equity split is 72.40% for AJs and 27.60% for JTo, so AJs leads by 44.80 points.

AJs

72.40%

Wins 71.53%, ties 1.74%

JTo

27.60%

Wins 26.73%, ties 1.74%

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

AJs against JTo: the numbers

Exact preflop results for AJs against JTo, in percent
HandWinsTiesLosesEquity
AJs71.5341.74126.72572.404
JTo26.7251.74171.53427.596

One side is a suited hand, the other is an offsuit hand. 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.

A lead of 44.80 points is large but not decisive: JTo still takes about 267 of every 1,000 deals. Split pots make up 1.74% of the boards, and both equity figures count them as half a win each.

AJs ranks number 11 of 169 starting hands, and JTo ranks number 57, by equity against a random hand.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AJs44,096,0001,073,00016,474,000
JTo16,474,0001,073,00044,096,000

Exact total: 36 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.

AJs against JTo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AJs2.6241.3983.7420.381
JTo0.3813.7421.3982.624

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

Low rainbow flops (nine high or lower) are the best for AJs (79.63%); monotone flops are the worst (65.22%). AJs stays ahead on all five textures.

AJs against JTo by flop texture, in percent
FlopShare of flopsAJs winsTiesJTo winsAJs equity
Rainbow, ten or higher23.17768.1081.64530.24768.930
Rainbow, nine or lower7.77178.8501.55119.59979.626
Two-tone46.52771.3031.49527.20272.051
Monotone5.19263.7043.04133.25565.224
Paired17.33375.7972.22821.97576.911

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

Compared with a random hand

A random hand would give AJs 65.39% and JTo 55.25%. Against each other the change is +7.01 points for AJs and -27.65 for JTo.

AJs and JTo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AJs, all flops72.40465.393+7.0111.10721
AJs, rainbow, ten or higher68.93065.393+3.5371.05409
AJs, rainbow, nine or lower79.62665.393+14.2331.21765
AJs, two-tone72.05165.393+6.6581.10182
AJs, monotone65.22465.393-0.1690.99742
AJs, paired76.91165.393+11.5181.17614
JTo, all flops27.59655.248-27.6520.49949
JTo, rainbow, ten or higher31.07055.248-24.1780.56237
JTo, rainbow, nine or lower20.37455.248-34.8740.36877
JTo, two-tone27.94955.248-27.2990.50588
JTo, monotone34.77655.248-20.4720.62945
JTo, paired23.08955.248-32.1590.41792

Does a shared suit matter?

The suit split reads 72.15% for AJs with a shared suit and 72.53% without one. AJs does better with no shared suit, by 0.38 points.

AJs against JTo by suit overlap, in percent
DealsSpecific dealsShare of dealsAJs winsTiesJTo winsAJs equity
Share a suit1233.3371.2271.84026.93372.147
No shared suit2466.6771.6871.69226.62172.533

How often this matchup comes up

Counting specific cards, AJs against JTo appears in 36 of the 1,624,350 ordered heads-up deals (0.0022%), and in 72 when the seats are swapped too (0.0044%).

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. AJs averages $144.80 from the $200, up $44.80; JTo averages $55.20, down $44.80.

Run 1,000 deals and the tally comes out near 715 for AJs, 267 for JTo and 18 ties.

The same matchup from the other side

The reversed view, JTo against AJs, shows 27.60% for JTo and 72.40% for AJs. It is the same count, so it redirects here.

AsJs against JhTd 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 36 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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