ATs vs JTs: preflop equity

In equity, ATs against JTs stands at 68.38% to 31.62%, a gap of 36.76 points.

ATs

68.38%

Wins 67.53%, ties 1.70%

JTs

31.62%

Wins 30.77%, ties 1.70%

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

ATs against JTs: the numbers

Exact preflop results for ATs against JTs, in percent
HandWinsTiesLosesEquity
ATs67.5261.69830.77668.375
JTs30.7761.69867.52631.625

Both hands are suited hands: ATs and JTs. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

ATs is well ahead, and JTs needs a specific kind of board to catch up. Ties are 1.70% of the outcomes here; each tied board gives both hands half the pot.

ATs ranks number 13 of 169 starting hands, and JTs ranks number 45, by equity against a random hand.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
ATs13,875,000349,0006,324,000
JTs6,324,000349,00013,875,000

The board total is exact, 12 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

ATs against JTs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
ATs2.1621.4813.2490.463
JTs0.4633.2491.4812.162

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 ATs' equity moves by 14.71 points, from 62.13% on monotone flops to 76.84% on low rainbow flops (nine high or lower). ATs stays ahead on all five textures.

ATs against JTs by flop texture, in percent
FlopShare of flopsATs winsTiesJTs winsATs equity
Rainbow, ten or higher23.13865.9421.58732.47166.736
Rainbow, nine or lower7.77176.0981.49222.41076.844
Two-tone46.54366.2271.37532.39866.914
Monotone5.21560.1673.92935.90462.132
Paired17.33371.4982.13526.36772.566

Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.

Compared with a random hand

Against one random hand instead, ATs holds 64.60% and JTs holds 57.53%. Facing each other changes that by +3.78 points for ATs and -25.91 points for JTs.

ATs and JTs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
ATs, all flops68.37564.602+3.7731.05840
ATs, rainbow, ten or higher66.73664.602+2.1341.03303
ATs, rainbow, nine or lower76.84464.602+12.2421.18950
ATs, two-tone66.91464.602+2.3121.03579
ATs, monotone62.13264.602-2.4700.96177
ATs, paired72.56664.602+7.9641.12328
JTs, all flops31.62557.528-25.9030.54973
JTs, rainbow, ten or higher33.26457.528-24.2640.57822
JTs, rainbow, nine or lower23.15657.528-34.3720.40252
JTs, two-tone33.08657.528-24.4420.57513
JTs, monotone37.86857.528-19.6600.65825
JTs, paired27.43457.528-30.0940.47688

Does a shared suit matter?

For this pair the shared-suit row is empty: the two hands cannot both own a card of one suit without reusing a card.

ATs against JTs by suit overlap, in percent
DealsSpecific dealsShare of dealsATs winsTiesJTs winsATs equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0067.5261.69830.77668.375

How often this matchup comes up

How often does it happen? 12 of the 1,624,350 ordered deals (0.0007%) are ATs against JTs, and 24 (0.0015%) if either hand may sit in either seat.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, ATs' average share is $136.76 (a gain of $36.76) and JTs' is $63.24 (a loss of $36.76).

Think in thousands: about 675 of 1,000 go to ATs, about 308 go to JTs, and about 17 are chopped.

The same matchup from the other side

One page covers both views. From JTs' side the equity is 31.62%, and from ATs' side it is 68.38%.

Open the calculator with AsTs against JhTh already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.

How this was computed

Each figure is a complete count over boards. Take the 12 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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