AQo vs JTs: preflop equity

If AQo and JTs get all the chips in before the flop, AQo owns 59.73% of the pot in the long run and JTs owns 40.27%.

AQo

59.73%

Wins 59.50%, ties 0.46%

JTs

40.27%

Wins 40.04%, ties 0.46%

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

AQo against JTs: the numbers

Exact preflop results for AQo against JTs, in percent
HandWinsTiesLosesEquity
AQo59.4970.45640.04759.725
JTs40.0470.45659.49740.275

The first hand is an offsuit hand; the second is a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

A 19.46 point lead is real, and JTs still takes about 400 of every 1,000 deals outright. Split pots make up 0.46% of the boards, and both equity figures count them as half a win each.

Ranked by equity against a random hand, AQo is number 14 of the 169 starting hands and JTs is number 45.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AQo48,901,000375,00032,915,000
JTs32,915,000375,00048,901,000

The total is exact: 48 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.

AQo against JTs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AQo1.4831.6812.4970.674
JTs0.6742.4971.6811.483

The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.

Who is ahead on which flops

Split by what the flop looks like, AQo peaks at 67.55% on low rainbow flops (nine high or lower) and bottoms out at 58.09% on two-tone flops. AQo stays ahead on all five textures.

AQo against JTs by flop texture, in percent
FlopShare of flopsAQo winsTiesJTs winsAQo equity
Rainbow, ten or higher23.26058.4220.11041.46858.477
Rainbow, nine or lower7.77067.0910.90832.00167.545
Two-tone46.66757.9500.28241.76858.091
Monotone5.21256.9182.37640.70658.106
Paired17.09162.5180.61236.87062.824

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

Compared with a random opponent, this matchup shifts AQo from 64.43% by -4.70 points and JTs from 57.53% by -17.26 points.

AQo and JTs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AQo, all flops59.72564.432-4.7070.92695
AQo, rainbow, ten or higher58.47764.432-5.9550.90758
AQo, rainbow, nine or lower67.54564.432+3.1131.04831
AQo, two-tone58.09164.432-6.3410.90159
AQo, monotone58.10664.432-6.3260.90182
AQo, paired62.82464.432-1.6080.97504
JTs, all flops40.27557.528-17.2530.70009
JTs, rainbow, ten or higher41.52357.528-16.0050.72179
JTs, rainbow, nine or lower32.45557.528-25.0730.56416
JTs, two-tone41.90957.528-15.6190.72850
JTs, monotone41.89457.528-15.6340.72824
JTs, paired37.17657.528-20.3520.64622

Does a shared suit matter?

Does suit overlap move the numbers? AQo has 60.38% when the hands share a suit and 59.07% when they do not. AQo does better with a shared suit, by 1.31 points.

AQo against JTs by suit overlap, in percent
DealsSpecific dealsShare of dealsAQo winsTiesJTs winsAQo equity
Share a suit2450.0060.1300.49639.37460.378
No shared suit2450.0058.8640.41640.72059.072

How often this matchup comes up

How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are AQo against JTs, and 96 (0.0059%) if either hand may sit in either seat.

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. AQo averages $119.46 from the $200, up $19.46; JTs averages $80.54, down $19.46.

Per 1,000 deals: AQo wins about 595, JTs wins about 400, and about 5 end in a split pot.

The same matchup from the other side

One page covers both views. From JTs' side the equity is 40.27%, and from AQo's side it is 59.73%.

Open the calculator with AsQh against JdTd 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

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 48 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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