ATs vs JTo: preflop equity

Counting every board, the equity split is 72.26% for ATs and 27.74% for JTo, so ATs leads by 44.52 points.

ATs

72.26%

Wins 71.40%, ties 1.72%

JTo

27.74%

Wins 26.88%, ties 1.72%

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

ATs against JTo: the numbers

Exact preflop results for ATs against JTo, in percent
HandWinsTiesLosesEquity
ATs71.4031.72026.87772.263
JTo26.8771.72071.40327.737

Here a suited hand (ATs) meets an offsuit hand (JTo). 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.

ATs is well ahead, and JTo needs a specific kind of board to catch up. Ties are part of the picture: 1.72% of boards end in a split pot, and each side counts that as half a win.

In the ranking of all 169 starting hands, ATs is number 13 and JTo is number 57.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
ATs44,015,0001,060,00016,568,000
JTo16,568,0001,060,00044,015,000

The total is exact: 36 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

ATs against JTo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
ATs2.6051.4013.7210.384
JTo0.3843.7211.4012.605

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

Across the five flop textures ATs' equity moves by 14.50 points, from 65.13% on monotone flops to 79.63% on low rainbow flops (nine high or lower). ATs stays ahead on all five textures.

ATs against JTo by flop texture, in percent
FlopShare of flopsATs winsTiesJTo winsATs equity
Rainbow, ten or higher23.17767.9541.63430.41268.771
Rainbow, nine or lower7.77178.8501.55119.59979.626
Two-tone46.52771.1951.48627.31971.938
Monotone5.19263.6113.03333.35665.128
Paired17.33375.5692.14722.28476.642

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 JTo holds 55.25%. Facing each other changes that by +7.66 points for ATs and -27.51 points for JTo.

ATs and JTo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
ATs, all flops72.26364.602+7.6611.11859
ATs, rainbow, ten or higher68.77164.602+4.1691.06453
ATs, rainbow, nine or lower79.62664.602+15.0241.23256
ATs, two-tone71.93864.602+7.3361.11356
ATs, monotone65.12864.602+0.5261.00814
ATs, paired76.64264.602+12.0401.18637
JTo, all flops27.73755.248-27.5110.50205
JTo, rainbow, ten or higher31.22955.248-24.0190.56525
JTo, rainbow, nine or lower20.37455.248-34.8740.36877
JTo, two-tone28.06255.248-27.1860.50793
JTo, monotone34.87255.248-20.3760.63119
JTo, paired23.35855.248-31.8900.42278

Does a shared suit matter?

Split by suits, the deals give ATs 72.00% when the hands overlap in a suit and 72.39% when they do not. ATs does better with no shared suit, by 0.39 points.

ATs against JTo by suit overlap, in percent
DealsSpecific dealsShare of dealsATs winsTiesJTo winsATs equity
Share a suit1233.3371.0951.81927.08672.004
No shared suit2466.6771.5571.67126.77272.393

How often this matchup comes up

This page stands for 36 specific-card matchups (0.0022% of 1,624,350 ordered deals), or 72 once you count the seats both ways (0.0044%).

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average ATs takes back $144.52 of it, which is $44.52 more than it put in, and JTo takes back $55.48, $44.52 less than it put in.

Think in thousands: about 714 of 1,000 go to ATs, about 269 go to JTo, and about 17 are chopped.

The same matchup from the other side

One page covers both views. From JTo's side the equity is 27.74%, and from ATs' side it is 72.26%.

The calculator link fills in AsTs against JhTd, 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

This is an exact count with no sampling. For the 36 ways to deal one ATs 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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