JJ vs QJs: preflop equity

In equity, JJ against QJs stands at 63.01% to 36.99%, a gap of 26.02 points.

JJ

63.01%

Wins 62.26%, ties 1.50%

QJs

36.99%

Wins 36.24%, ties 1.50%

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

JJ against QJs: the numbers

Exact preflop results for JJ against QJs, in percent
HandWinsTiesLosesEquity
JJ62.2601.50136.23963.011
QJs36.2391.50162.26036.989

The first hand is a pocket pair; the second is a suited hand. The pair already holds one of the other hand's ranks, and that overlap cuts down the cards the other hand can pair with.

That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Split pots make up 1.50% of the boards, and both equity figures count them as half a win each.

Among the 169 starting hands, JJ is number 4 and QJs is number 28 by strength against a random hand.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JJ12,793,000308,0007,446,000
QJs7,446,000308,00012,793,000

The board total is exact, 12 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

JJ against QJs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JJ1.7041.6062.7590.587
QJs0.5872.7591.6061.704

The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.

Who is ahead on which flops

Break the boards down by their first three cards and JJ is strongest on low rainbow flops (nine high or lower) (80.45%) and weakest on rainbow flops topped by a ten or better (57.72%). JJ stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

JJ against QJs by flop texture, in percent
FlopShare of flopsJJ winsTiesQJs winsJJ equity
Rainbow, ten or higher23.01156.7921.85441.35457.719
Rainbow, nine or lower7.77179.7791.34018.88180.449
Two-tone46.23659.6151.58538.80060.408
Monotone5.15158.1342.55139.31559.410
Paired17.83169.7330.59329.67470.030

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

The table below sets each hand against its own random-hand baseline: a change of -14.46 points for JJ, from 77.47%, and -23.27 for QJs, from 60.26%.

JJ and QJs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JJ, all flops63.01177.469-14.4580.81337
JJ, rainbow, ten or higher57.71977.469-19.7500.74506
JJ, rainbow, nine or lower80.44977.469+2.9801.03847
JJ, two-tone60.40877.469-17.0610.77977
JJ, monotone59.41077.469-18.0590.76689
JJ, paired70.03077.469-7.4390.90397
QJs, all flops36.98960.259-23.2700.61383
QJs, rainbow, ten or higher42.28160.259-17.9780.70165
QJs, rainbow, nine or lower19.55160.259-40.7080.32445
QJs, two-tone39.59260.259-20.6670.65703
QJs, monotone40.59060.259-19.6690.67359
QJs, paired29.97060.259-30.2890.49735

Does a shared suit matter?

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

JJ against QJs by suit overlap, in percent
DealsSpecific dealsShare of dealsJJ winsTiesQJs winsJJ equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0062.2601.50136.23963.011

How often this matchup comes up

This page stands for 12 specific-card matchups (0.0007% of 1,624,350 ordered deals), or 24 once you count the seats both ways (0.0015%).

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. JJ averages $126.02 from the $200, up $26.02; QJs averages $73.98, down $26.02.

Over a long run, 1,000 deals split into about 623 for JJ, 362 for QJs and 15 tied.

The same matchup from the other side

Swap the hands and you get QJs with 36.99% against JJ with 63.01%. We keep one page per matchup, with the better-ranked hand first.

Open the calculator with JsJh against QdJd 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

Nothing here is simulated. The 12 deals of JJ against QJs fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.

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

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