AJo vs T9o: preflop equity

Averaged over every possible board, AJo is ahead of T9o by 27.18 points of equity, 63.59% to 36.41%.

AJo

63.59%

Wins 63.38%, ties 0.41%

T9o

36.41%

Wins 36.21%, ties 0.41%

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

AJo against T9o: the numbers

Exact preflop results for AJo against T9o, in percent
HandWinsTiesLosesEquity
AJo63.3790.41336.20863.586
T9o36.2080.41363.37936.414

Here offsuit hands face each other, AJo on one side and T9o on the other. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Ties are 0.41% of the outcomes here; each tied board gives both hands half the pot.

Among the 169 starting hands, AJo is number 15 and T9o is number 78 by strength against a random hand.

Boards behind the percentages: 246,571,776 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AJo156,275,0001,018,00089,279,000
T9o89,279,0001,018,000156,275,000

Exact total: 144 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.

AJo against T9o read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AJo1.7461.5782.7620.573
T9o0.5732.7621.5781.746

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

If you know the kind of flop that came, the numbers shift: AJo holds 66.61% on paired flops and 53.94% on low rainbow flops (nine high or lower). AJo stays ahead on all five textures.

AJo against T9o by flop texture, in percent
FlopShare of flopsAJo winsTiesT9o winsAJo equity
Rainbow, ten or higher24.11065.5110.15734.33265.589
Rainbow, nine or lower7.04253.5620.74645.69253.935
Two-tone46.60662.8500.27836.87262.989
Monotone5.15161.9301.67336.39762.766
Paired17.09166.3010.62433.07566.613

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

Each hand has a baseline against a random hand: 63.56% for AJo, 51.53% for T9o. Here the change is +0.03 and -15.12 points.

AJo and T9o here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AJo, all flops63.58663.563+0.0231.00036
AJo, rainbow, ten or higher65.58963.563+2.0261.03187
AJo, rainbow, nine or lower53.93563.563-9.6280.84853
AJo, two-tone62.98963.563-0.5740.99097
AJo, monotone62.76663.563-0.7970.98746
AJo, paired66.61363.563+3.0501.04798
T9o, all flops36.41451.532-15.1180.70663
T9o, rainbow, ten or higher34.41151.532-17.1210.66776
T9o, rainbow, nine or lower46.06551.532-5.4670.89391
T9o, two-tone37.01151.532-14.5210.71821
T9o, monotone37.23451.532-14.2980.72254
T9o, paired33.38751.532-18.1450.64789

Does a shared suit matter?

Does suit overlap move the numbers? AJo has 63.69% when the hands share a suit and 63.07% when they do not. AJo does better with a shared suit, by 0.62 points.

AJo against T9o by suit overlap, in percent
DealsSpecific dealsShare of dealsAJo winsTiesT9o winsAJo equity
Share a suit12083.3363.4750.42836.09763.689
No shared suit2416.6762.9050.33436.76163.072

How often this matchup comes up

This page stands for 144 specific-card matchups (0.0089% of 1,624,350 ordered deals), or 288 once you count the seats both ways (0.0177%).

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says AJo gets $127.18 of it on average and T9o gets $72.82.

In 1,000 deals of exactly this matchup, expect about 634 won outright by AJo, about 362 won outright by T9o and about 4 split.

The same matchup from the other side

The mirror image, T9o against AJo, is 36.41% to 63.59%, and its address redirects to this page.

The calculator link fills in AsJh against Td9c, 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

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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