QJs vs J9s: preflop equity

Before any board card is dealt, QJs holds 70.40% equity against J9s, which leaves J9s with 29.60%.

QJs

70.40%

Wins 68.57%, ties 3.66%

J9s

29.60%

Wins 27.77%, ties 3.66%

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

QJs against J9s: the numbers

Exact preflop results for QJs against J9s, in percent
HandWinsTiesLosesEquity
QJs68.5693.66327.76870.401
J9s27.7683.66368.56929.599

QJs and J9s are both suited hands. 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.

A lead of 40.80 points is large but not decisive: J9s still takes about 278 of every 1,000 deals. 3.66% of boards are ties, so the equity of each hand is its win rate plus half of that.

By strength against a random hand, QJs holds place 28 of 169 and J9s holds place 55.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
QJs14,089,000753,0005,706,000
J9s5,706,000753,00014,089,000

12 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.

QJs against J9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
QJs2.3781.4583.6010.420
J9s0.4203.6011.4582.378

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

By flop texture, QJs' equity runs from 61.67% on low rainbow flops (nine high or lower) up to 75.11% on rainbow flops topped by a ten or better. QJs stays ahead on all five textures.

QJs against J9s by flop texture, in percent
FlopShare of flopsQJs winsTiesJ9s winsQJs equity
Rainbow, ten or higher23.86773.2913.64523.06475.114
Rainbow, nine or lower7.04261.1671.01437.81961.674
Two-tone46.54367.8312.79429.37569.228
Monotone5.21560.9975.18133.82263.588
Paired17.33369.3346.64224.02472.655

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

Compared with a random hand

Relative to a random opponent, QJs changes by +10.14 points (baseline 60.26%) and J9s by -26.06 points (baseline 55.66%).

QJs and J9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
QJs, all flops70.40160.259+10.1421.16831
QJs, rainbow, ten or higher75.11460.259+14.8551.24652
QJs, rainbow, nine or lower61.67460.259+1.4151.02348
QJs, two-tone69.22860.259+8.9691.14884
QJs, monotone63.58860.259+3.3291.05524
QJs, paired72.65560.259+12.3961.20571
J9s, all flops29.59955.662-26.0630.53176
J9s, rainbow, ten or higher24.88655.662-30.7760.44709
J9s, rainbow, nine or lower38.32655.662-17.3360.68855
J9s, two-tone30.77255.662-24.8900.55284
J9s, monotone36.41255.662-19.2500.65416
J9s, paired27.34555.662-28.3170.49127

Does a shared suit matter?

Suits do not split this matchup, because no legal deal has the hands holding the same suit.

QJs against J9s by suit overlap, in percent
DealsSpecific dealsShare of dealsQJs winsTiesJ9s winsQJs equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0068.5693.66327.76870.401

How often this matchup comes up

Counting specific cards, QJs against J9s appears in 12 of the 1,624,350 ordered heads-up deals (0.0007%), and in 24 when the seats are swapped too (0.0015%).

A worked example

With $100 from each side, the $200 pot is split on average as $140.80 for QJs and $59.20 for J9s; the first side gains $40.80 per all-in and the second gives up $40.80.

A thousand deals look like this: QJs takes 686, J9s takes 278, 36 are ties.

The same matchup from the other side

The mirror image, J9s against QJs, is 29.60% to 70.40%, and its address redirects to this page.

Open the calculator with QsJs against Jh9h 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 12 specific deals of QJs against J9s, 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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