QTs vs JTs: preflop equity

Before any board card is dealt, QTs holds 70.17% equity against JTs, which leaves JTs with 29.83%.

QTs

70.17%

Wins 68.37%, ties 3.60%

JTs

29.83%

Wins 28.03%, ties 3.60%

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

QTs against JTs: the numbers

Exact preflop results for QTs against JTs, in percent
HandWinsTiesLosesEquity
QTs68.3683.60128.03170.168
JTs28.0313.60168.36829.832

QTs and JTs are both suited hands. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

QTs is the clear favorite, though JTs gets there on roughly one board in 3. Ties are part of the picture: 3.60% of boards end in a split pot, and each side counts that as half a win.

By strength against a random hand, QTs holds place 34 of 169 and JTs holds place 45.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
QTs14,048,000740,0005,760,000
JTs5,760,000740,00014,048,000

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.

QTs against JTs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
QTs2.3521.4633.5670.425
JTs0.4253.5671.4632.352

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

Across the five flop textures QTs' equity moves by 15.66 points, from 63.35% on monotone flops to 79.01% on low rainbow flops (nine high or lower). QTs stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

QTs against JTs by flop texture, in percent
FlopShare of flopsQTs winsTiesJTs winsQTs equity
Rainbow, ten or higher23.13867.6493.63628.71569.467
Rainbow, nine or lower7.77178.5150.98720.49879.009
Two-tone46.54367.6592.73229.60969.025
Monotone5.21560.7755.14934.07663.349
Paired17.33368.9686.59224.44072.264

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

Against one random hand instead, QTs holds 59.47% and JTs holds 57.53%. Facing each other changes that by +10.70 points for QTs and -27.70 points for JTs.

QTs and JTs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
QTs, all flops70.16859.468+10.7001.17993
QTs, rainbow, ten or higher69.46759.468+9.9991.16814
QTs, rainbow, nine or lower79.00959.468+19.5411.32860
QTs, two-tone69.02559.468+9.5571.16071
QTs, monotone63.34959.468+3.8811.06526
QTs, paired72.26459.468+12.7961.21517
JTs, all flops29.83257.528-27.6960.51856
JTs, rainbow, ten or higher30.53357.528-26.9950.53075
JTs, rainbow, nine or lower20.99157.528-36.5370.36488
JTs, two-tone30.97557.528-26.5530.53843
JTs, monotone36.65157.528-20.8770.63710
JTs, paired27.73657.528-29.7920.48213

Does a shared suit matter?

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

QTs against JTs by suit overlap, in percent
DealsSpecific dealsShare of dealsQTs winsTiesJTs winsQTs equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0068.3683.60128.03170.168

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

To see what the equity is worth, imagine $100 each in a $200 pot. QTs is worth $140.34 on average (+$40.34); JTs is worth $59.66 (-$40.34).

Over a long run, 1,000 deals split into about 684 for QTs, 280 for JTs and 36 tied.

The same matchup from the other side

One page covers both views. From JTs' side the equity is 29.83%, and from QTs' side it is 70.17%.

QsTs 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

We counted every case. Each suit pattern of the 12 specific QTs 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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