AQs vs JTs: preflop equity

Counting every board, the equity split is 62.20% for AQs and 37.80% for JTs, so AQs leads by 24.40 points.

AQs

62.20%

Wins 61.95%, ties 0.50%

JTs

37.80%

Wins 37.55%, ties 0.50%

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

AQs against JTs: the numbers

Exact preflop results for AQs against JTs, in percent
HandWinsTiesLosesEquity
AQs61.9520.50037.54862.202
JTs37.5480.50061.95237.798

AQs and JTs are both suited hands. 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. A split pot comes up on 0.50% of boards, so the wins and the equity differ by half of that.

AQs ranks number 10 of 169 starting hands, and JTs ranks number 45, by equity against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AQs16,973,000137,00010,287,000
JTs10,287,000137,00016,973,000

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.

AQs against JTs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AQs1.6461.6142.6630.608
JTs0.6082.6631.6141.646

In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.

Who is ahead on which flops

The flop changes the picture. AQs does best on low rainbow flops (nine high or lower), at 69.18%, and worst on monotone flops, at 59.32%. AQs stays ahead on all five textures.

AQs against JTs by flop texture, in percent
FlopShare of flopsAQs winsTiesJTs winsAQs equity
Rainbow, ten or higher23.13859.9670.10639.92760.020
Rainbow, nine or lower7.77168.7450.87730.37869.184
Two-tone46.72761.2940.26338.44361.426
Monotone5.27357.6163.41038.97459.321
Paired17.09164.6890.61234.69964.995

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

Relative to a random opponent, AQs changes by -4.01 points (baseline 66.21%) and JTs by -19.73 points (baseline 57.53%).

AQs and JTs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AQs, all flops62.20266.209-4.0070.93948
AQs, rainbow, ten or higher60.02066.209-6.1890.90652
AQs, rainbow, nine or lower69.18466.209+2.9751.04493
AQs, two-tone61.42666.209-4.7830.92776
AQs, monotone59.32166.209-6.8880.89597
AQs, paired64.99566.209-1.2140.98166
JTs, all flops37.79857.528-19.7300.65704
JTs, rainbow, ten or higher39.98057.528-17.5480.69497
JTs, rainbow, nine or lower30.81657.528-26.7120.53567
JTs, two-tone38.57457.528-18.9540.67053
JTs, monotone40.67957.528-16.8490.70712
JTs, paired35.00557.528-22.5230.60849

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common AQs has 64.51% equity, and with none in common it has 61.44%. AQs does better with a shared suit, by 3.07 points.

AQs against JTs by suit overlap, in percent
DealsSpecific dealsShare of dealsAQs winsTiesJTs winsAQs equity
Share a suit425.0064.2160.57735.20764.505
No shared suit1275.0061.1970.47538.32861.435

How often this matchup comes up

This page stands for 16 specific-card matchups (0.0010% of 1,624,350 ordered deals), or 32 once you count the seats both ways (0.0020%).

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. AQs averages $124.40 from the $200, up $24.40; JTs averages $75.60, down $24.40.

In 1,000 deals of exactly this matchup, expect about 620 won outright by AQs, about 375 won outright by JTs and about 5 split.

The same matchup from the other side

If you came looking for JTs against AQs, the numbers are the same with the hands swapped: 37.80% and 62.20%.

Open the calculator with AsQs 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

We counted every case. Each suit pattern of the 16 specific AQs against JTs deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.

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

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