Q9s vs JTs: preflop equity

Dealt all in against each other, Q9s takes 57.01% of the pot on average and JTs takes the other 42.99%.

Q9s

57.01%

Wins 56.55%, ties 0.93%

JTs

42.99%

Wins 42.52%, ties 0.93%

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

Q9s against JTs: the numbers

Exact preflop results for Q9s against JTs, in percent
HandWinsTiesLosesEquity
Q9s56.5460.93042.52457.011
JTs42.5240.93056.54642.989

The matchup is suited hands on both sides, Q9s against JTs. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are 0.93% of the outcomes here; each tied board gives both hands half the pot.

By strength against a random hand, Q9s holds place 43 of 169 and JTs holds place 45.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
Q9s15,492,000255,00011,650,000
JTs11,650,000255,00015,492,000

The board total is exact, 16 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

Q9s against JTs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
Q9s1.3261.7682.3520.754
JTs0.7542.3521.7681.326

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, Q9s peaks at 69.77% on low rainbow flops (nine high or lower) and bottoms out at 52.52% on rainbow flops topped by a ten or better. Q9s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

Q9s against JTs by flop texture, in percent
FlopShare of flopsQ9s winsTiesJTs winsQ9s equity
Rainbow, ten or higher23.86752.2960.43747.26752.515
Rainbow, nine or lower7.04269.4210.70229.87769.772
Two-tone46.72755.6610.45043.88955.886
Monotone5.27352.6443.52943.82754.409
Paired17.09160.7982.22536.97761.910

A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.

Compared with a random hand

Each hand has a baseline against a random hand: 57.66% for Q9s, 57.53% for JTs. Here the change is -0.65 and -14.54 points.

Q9s and JTs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
Q9s, all flops57.01157.664-0.6530.98868
Q9s, rainbow, ten or higher52.51557.664-5.1490.91071
Q9s, rainbow, nine or lower69.77257.664+12.1081.20998
Q9s, two-tone55.88657.664-1.7780.96917
Q9s, monotone54.40957.664-3.2550.94355
Q9s, paired61.91057.664+4.2461.07363
JTs, all flops42.98957.528-14.5390.74727
JTs, rainbow, ten or higher47.48557.528-10.0430.82542
JTs, rainbow, nine or lower30.22857.528-27.3000.52545
JTs, two-tone44.11457.528-13.4140.76683
JTs, monotone45.59157.528-11.9370.79250
JTs, paired38.09057.528-19.4380.66211

Does a shared suit matter?

The suit split reads 58.95% for Q9s with a shared suit and 56.37% without one. Q9s does better with a shared suit, by 2.58 points.

Q9s against JTs by suit overlap, in percent
DealsSpecific dealsShare of dealsQ9s winsTiesJTs winsQ9s equity
Share a suit425.0058.4321.02740.54158.946
No shared suit1275.0055.9170.89843.18556.366

How often this matchup comes up

You will meet this exact matchup 0.0020% of the time in a random heads-up deal: 32 of 1,624,350, counting either seat order.

A worked example

Put $100 each into a $200 pot and deal every board once: Q9s averages $114.02 back, ahead of its $100 by $14.02, while JTs averages $85.98, short of its $100 by $14.02.

A thousand deals look like this: Q9s takes 566, JTs takes 425, 9 are ties.

The same matchup from the other side

JTs versus Q9s is this same page seen from the other hand: 42.99% for JTs, 57.01% for Q9s.

Open the calculator with Qs9s 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 16 specific deals of Q9s against JTs, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.

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

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