ATs vs J9s: preflop equity

In equity, ATs against J9s stands at 61.02% to 38.98%, a gap of 22.04 points.

ATs

61.02%

Wins 60.78%, ties 0.48%

J9s

38.98%

Wins 38.74%, ties 0.48%

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

ATs against J9s: the numbers

Exact preflop results for ATs against J9s, in percent
HandWinsTiesLosesEquity
ATs60.7790.48238.73961.020
J9s38.7390.48260.77938.980

Here suited hands face each other, ATs on one side and J9s 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. The tie share is 0.48%: on those boards the pot is chopped and neither hand wins outright.

Among the 169 starting hands, ATs is number 13 and J9s is number 55 by strength against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
ATs16,652,000132,00010,613,000
J9s10,613,000132,00016,652,000

16 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.

ATs against J9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
ATs1.5651.6452.5810.639
J9s0.6392.5811.6451.565

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

The flop changes the picture. ATs does best on paired flops, at 64.45%, and worst on low rainbow flops (nine high or lower), at 57.96%. ATs stays ahead on all five textures.

ATs against J9s by flop texture, in percent
FlopShare of flopsATs winsTiesJ9s winsATs equity
Rainbow, ten or higher23.86761.8500.14638.00461.923
Rainbow, nine or lower7.04257.6140.68941.69757.958
Two-tone46.72759.9910.24139.76860.111
Monotone5.27356.2713.40040.32957.971
Paired17.09164.1330.62435.24364.445

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

The table below sets each hand against its own random-hand baseline: a change of -3.58 points for ATs, from 64.60%, and -16.68 for J9s, from 55.66%.

ATs and J9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
ATs, all flops61.02064.602-3.5820.94455
ATs, rainbow, ten or higher61.92364.602-2.6790.95853
ATs, rainbow, nine or lower57.95864.602-6.6440.89715
ATs, two-tone60.11164.602-4.4910.93048
ATs, monotone57.97164.602-6.6310.89736
ATs, paired64.44564.602-0.1570.99757
J9s, all flops38.98055.662-16.6820.70030
J9s, rainbow, ten or higher38.07755.662-17.5850.68408
J9s, rainbow, nine or lower42.04255.662-13.6200.75531
J9s, two-tone39.88955.662-15.7730.71663
J9s, monotone42.02955.662-13.6330.75508
J9s, paired35.55555.662-20.1070.63877

Does a shared suit matter?

Split by suits, the deals give ATs 63.29% when the hands overlap in a suit and 60.27% when they do not. ATs does better with a shared suit, by 3.02 points.

ATs against J9s by suit overlap, in percent
DealsSpecific dealsShare of dealsATs winsTiesJ9s winsATs equity
Share a suit425.0063.0070.55736.43663.286
No shared suit1275.0060.0360.45739.50760.265

How often this matchup comes up

Counting specific cards, ATs against J9s appears in 16 of the 1,624,350 ordered heads-up deals (0.0010%), and in 32 when the seats are swapped too (0.0020%).

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, ATs' average share is $122.04 (a gain of $22.04) and J9s' is $77.96 (a loss of $22.04).

Over a long run, 1,000 deals split into about 608 for ATs, 387 for J9s and 5 tied.

The same matchup from the other side

If you came looking for J9s against ATs, the numbers are the same with the hands swapped: 38.98% and 61.02%.

Try AsTs against Jh9h in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.

How this was computed

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 16 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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