QJs vs JTs: preflop equity

If QJs and JTs get all the chips in before the flop, QJs owns 70.30% of the pot in the long run and JTs owns 29.70%.

QJs

70.30%

Wins 68.49%, ties 3.62%

JTs

29.70%

Wins 27.89%, ties 3.62%

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

QJs against JTs: the numbers

Exact preflop results for QJs against JTs, in percent
HandWinsTiesLosesEquity
QJs68.4893.62227.88970.300
JTs27.8893.62268.48929.700

Here suited hands face each other, QJs on one side and JTs on the other. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

A lead of 40.60 points is large but not decisive: JTs still takes about 279 of every 1,000 deals. 3.62% of boards are ties, so the equity of each hand is its win rate plus half of that.

QJs ranks number 28 of 169 starting hands, and JTs ranks number 45, by equity against a random hand.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
QJs14,073,000744,0005,731,000
JTs5,731,000744,00014,073,000

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 JTs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
QJs2.3671.4603.5860.422
JTs0.4223.5861.4602.367

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

The flop changes the picture. QJs does best on low rainbow flops (nine high or lower), at 79.01%, and worst on monotone flops, at 63.47%. QJs stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

QJs against JTs by flop texture, in percent
FlopShare of flopsQJs winsTiesJTs winsQJs equity
Rainbow, ten or higher23.13867.7823.64728.57169.606
Rainbow, nine or lower7.77178.5150.98720.49879.009
Two-tone46.54367.7622.74129.49769.133
Monotone5.21560.8855.16233.95363.466
Paired17.33369.1796.67324.14872.516

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

Against one random hand instead, QJs holds 60.26% and JTs holds 57.53%. Facing each other changes that by +10.04 points for QJs and -27.83 points for JTs.

QJs and JTs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
QJs, all flops70.30060.259+10.0411.16663
QJs, rainbow, ten or higher69.60660.259+9.3471.15511
QJs, rainbow, nine or lower79.00960.259+18.7501.31116
QJs, two-tone69.13360.259+8.8741.14726
QJs, monotone63.46660.259+3.2071.05322
QJs, paired72.51660.259+12.2571.20341
JTs, all flops29.70057.528-27.8280.51627
JTs, rainbow, ten or higher30.39457.528-27.1340.52833
JTs, rainbow, nine or lower20.99157.528-36.5370.36488
JTs, two-tone30.86757.528-26.6610.53656
JTs, monotone36.53457.528-20.9940.63506
JTs, paired27.48457.528-30.0440.47775

Does a shared suit matter?

Every legal deal of QJs against JTs leaves the hands with no suit in common, so the suit split does not apply here.

QJs against JTs by suit overlap, in percent
DealsSpecific dealsShare of dealsQJs winsTiesJTs winsQJs equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0068.4893.62227.88970.300

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 12 are QJs in one seat and JTs in the other (0.0007%); with the seats swapped too, 24 (0.0015%).

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. QJs is worth $140.60 on average (+$40.60); JTs is worth $59.40 (-$40.60).

A thousand deals look like this: QJs takes 685, JTs takes 279, 36 are ties.

The same matchup from the other side

Swap the hands and you get JTs with 29.70% against QJs with 70.30%. We keep one page per matchup, with the better-ranked hand first.

QsJs against JhTh is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.

How this was computed

Each figure is a complete count over boards. Take the 12 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

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