A9o vs JTo: preflop equity

The exact count puts A9o at 55.91% and JTo at 44.09% when the two hands see all five board cards.

A9o

55.91%

Wins 55.70%, ties 0.41%

JTo

44.09%

Wins 43.89%, ties 0.41%

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

A9o against JTo: the numbers

Exact preflop results for A9o against JTo, in percent
HandWinsTiesLosesEquity
A9o55.7020.41343.88555.908
JTo43.8850.41355.70244.092

Two offsuit hands meet here: A9o against JTo. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

A9o is ahead, but JTo is far from dead: it takes 439 of every 1,000 deals outright. A split pot comes up on 0.41% of boards, so the wins and the equity differ by half of that.

Ranked by equity against a random hand, A9o is number 25 of the 169 starting hands and JTo is number 57.

Boards behind the percentages: 246,571,776 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A9o137,345,0001,018,000108,208,000
JTo108,208,0001,018,000137,345,000

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.

A9o against JTo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A9o1.2681.7952.2790.789
JTo0.7892.2791.7951.268

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

Across the five flop textures A9o's equity moves by 20.66 points, from 49.97% on rainbow flops topped by a ten or better to 70.63% on low rainbow flops (nine high or lower). The lead reverses on rainbow flops topped by a ten or better: there JTo is the favorite even though A9o is ahead overall.

A9o against JTo by flop texture, in percent
FlopShare of flopsA9o winsTiesJTo winsA9o equity
Rainbow, ten or higher24.11049.8870.15749.95649.965
Rainbow, nine or lower7.04270.2600.74628.99470.633
Two-tone46.60654.4000.27845.32254.539
Monotone5.15152.7581.67445.56853.595
Paired17.09162.3420.62437.03462.654

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

Compared with a random opponent, this matchup shifts A9o from 60.77% by -4.86 points and JTo from 55.25% by -11.16 points.

A9o and JTo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A9o, all flops55.90860.773-4.8650.91995
A9o, rainbow, ten or higher49.96560.773-10.8080.82216
A9o, rainbow, nine or lower70.63360.773+9.8601.16224
A9o, two-tone54.53960.773-6.2340.89742
A9o, monotone53.59560.773-7.1780.88189
A9o, paired62.65460.773+1.8811.03095
JTo, all flops44.09255.248-11.1560.79807
JTo, rainbow, ten or higher50.03555.248-5.2130.90564
JTo, rainbow, nine or lower29.36755.248-25.8810.53155
JTo, two-tone45.46155.248-9.7870.82285
JTo, monotone46.40555.248-8.8430.83994
JTo, paired37.34655.248-17.9020.67597

Does a shared suit matter?

When the hands share a suit, A9o holds 55.91%; when they do not, it holds 55.89%. The two rows differ by only 0.02 points, so suits barely change this matchup.

A9o against JTo by suit overlap, in percent
DealsSpecific dealsShare of dealsA9o winsTiesJTo winsA9o equity
Share a suit12083.3355.6980.42843.87455.912
No shared suit2416.6755.7220.33443.94455.889

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

Put $100 each into a $200 pot and deal every board once: A9o averages $111.82 back, ahead of its $100 by $11.82, while JTo averages $88.18, short of its $100 by $11.82.

Run 1,000 deals and the tally comes out near 557 for A9o, 439 for JTo and 4 ties.

The same matchup from the other side

The reversed view, JTo against A9o, shows 44.09% for JTo and 55.91% for A9o. It is the same count, so it redirects here.

As9h 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

This is an exact count with no sampling. For the 144 ways to deal one A9o and one JTo without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.

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

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