QJo vs JTs: preflop equity

Averaged over every possible board, QJo is ahead of JTs by 38.72 points of equity, 69.36% to 30.64%.

QJo

69.36%

Wins 67.51%, ties 3.71%

JTs

30.64%

Wins 28.78%, ties 3.71%

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

QJo against JTs: the numbers

Exact preflop results for QJo against JTs, in percent
HandWinsTiesLosesEquity
QJo67.5073.70628.78769.360
JTs28.7873.70667.50730.640

QJo is an offsuit hand and JTs is a suited hand. 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 38.72 points is large but not decisive: JTs still takes about 288 of every 1,000 deals. Ties are part of the picture: 3.71% of boards end in a split pot, and each side counts that as half a win.

By strength against a random hand, QJo holds place 39 of 169 and JTs holds place 45.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
QJo41,613,0002,284,00017,745,000
JTs17,745,0002,284,00041,613,000

The board total is exact, 36 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

QJo against JTs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
QJo2.2641.4813.4740.442
JTs0.4423.4741.4812.264

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

If you know the kind of flop that came, the numbers shift: QJo holds 78.37% on low rainbow flops (nine high or lower) and 64.99% on monotone flops. QJo stays ahead on all five textures.

QJo against JTs by flop texture, in percent
FlopShare of flopsQJo winsTiesJTs winsQJo equity
Rainbow, ten or higher23.17766.9413.71229.34768.797
Rainbow, nine or lower7.77177.8521.03321.11578.369
Two-tone46.52766.3142.90130.78567.765
Monotone5.19262.8324.31232.85664.988
Paired17.33368.2306.87324.89771.666

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, QJo changes by +11.22 points (baseline 58.14%) and JTs by -26.89 points (baseline 57.53%).

QJo and JTs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
QJo, all flops69.36058.135+11.2251.19309
QJo, rainbow, ten or higher68.79758.135+10.6621.18340
QJo, rainbow, nine or lower78.36958.135+20.2341.34805
QJo, two-tone67.76558.135+9.6301.16565
QJo, monotone64.98858.135+6.8531.11788
QJo, paired71.66658.135+13.5311.23275
JTs, all flops30.64057.528-26.8880.53261
JTs, rainbow, ten or higher31.20357.528-26.3250.54240
JTs, rainbow, nine or lower21.63157.528-35.8970.37601
JTs, two-tone32.23557.528-25.2930.56034
JTs, monotone35.01257.528-22.5160.60861
JTs, paired28.33457.528-29.1940.49253

Does a shared suit matter?

Looking only at deals where the hands share a suit, QJo has 70.31%; looking only at deals where they do not, 68.89%. QJo does better with a shared suit, by 1.42 points.

QJo against JTs by suit overlap, in percent
DealsSpecific dealsShare of dealsQJo winsTiesJTs winsQJo equity
Share a suit1233.3368.4083.80327.78970.310
No shared suit2466.6767.0573.65729.28668.885

How often this matchup comes up

QJo against JTs is made up of 36 specific-card matchups in one seat order, 0.0022% of the 1,624,350 ordered deals, and 72 counting both seat orders, 0.0044%.

A worked example

Put $100 each into a $200 pot and deal every board once: QJo averages $138.72 back, ahead of its $100 by $38.72, while JTs averages $61.28, short of its $100 by $38.72.

Scaled to 1,000 deals, that is roughly 675 wins for QJo, 288 for JTs and 37 chopped pots.

The same matchup from the other side

Swap the hands and you get JTs with 30.64% against QJo with 69.36%. We keep one page per matchup, with the better-ranked hand first.

The calculator link fills in QsJh against JdTd, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.

How this was computed

Each figure is a complete count over boards. Take the 36 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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