QJs vs QJo: preflop equity

In equity, QJs against QJo stands at 52.49% to 47.51%, a gap of 4.98 points.

QJs

52.49%

Wins 7.16%, ties 90.67%

QJo

47.51%

Wins 2.17%, ties 90.67%

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

QJs against QJo: the numbers

Exact preflop results for QJs against QJo, in percent
HandWinsTiesLosesEquity
QJs7.15890.6692.17352.492
QJo2.17390.6697.15847.508

We compare a suited hand with an offsuit hand. The cards are the same ranks, so any difference in equity comes from suitedness alone.

QJs leads by less than 5 points of equity, so the result of any one deal is close to a toss-up. 90.67% of boards are ties, so the equity of each hand is its win rate plus half of that.

In the ranking of all 169 starting hands, QJs is number 28 and QJo is number 39.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
QJs2,942,00037,261,000893,000
QJo893,00037,261,0002,942,000

The board total is exact, 24 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

QJs against QJo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
QJs1.10513.97046.0190.905
QJo0.90546.01913.9701.105

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

The flop changes the picture. QJs does best on two-tone flops, at 53.28%, and worst on monotone flops, at 50.28%. QJs stays ahead on all five textures.

QJs against QJo by flop texture, in percent
FlopShare of flopsQJs winsTiesQJo winsQJs equity
Rainbow, ten or higher23.1383.26596.7350.00051.633
Rainbow, nine or lower7.7713.40996.5910.00051.705
Two-tone46.3638.82988.9012.27053.280
Monotone5.15218.51363.54217.94550.284
Paired17.5766.20192.6811.11852.541

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

Start from the random-hand figures, 60.26% for QJs and 58.14% for QJo. This opponent changes them by -7.77 and -10.63 points.

QJs and QJo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
QJs, all flops52.49260.259-7.7670.87111
QJs, rainbow, ten or higher51.63360.259-8.6260.85685
QJs, rainbow, nine or lower51.70560.259-8.5540.85805
QJs, two-tone53.28060.259-6.9790.88418
QJs, monotone50.28460.259-9.9750.83446
QJs, paired52.54160.259-7.7180.87192
QJo, all flops47.50858.135-10.6270.81720
QJo, rainbow, ten or higher48.36758.135-9.7680.83198
QJo, rainbow, nine or lower48.29558.135-9.8400.83074
QJo, two-tone46.72058.135-11.4150.80365
QJo, monotone49.71658.135-8.4190.85518
QJo, paired47.45958.135-10.6760.81636

Does a shared suit matter?

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

QJs against QJo by suit overlap, in percent
DealsSpecific dealsShare of dealsQJs winsTiesQJo winsQJs equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit24100.007.15890.6692.17352.492

How often this matchup comes up

QJs against QJo is made up of 24 specific-card matchups in one seat order, 0.0015% of the 1,624,350 ordered deals, and 48 counting both seat orders, 0.0030%.

A worked example

Take a $200 pot built from $100 each. QJs' equity of 52.49% is worth $104.98, a $4.98 edge, and QJo's 47.51% is worth $95.02, which is $4.98 under its stake.

A thousand deals look like this: QJs takes 71, QJo takes 22, 907 are ties.

The same matchup from the other side

Read it from the other side: QJo against QJs is the same matchup with the numbers swapped, so QJo holds 47.51% and QJs holds 52.49%. That address sends you back to this page.

Try QsJs against QhJd in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.

How this was computed

We counted every case. Each suit pattern of the 24 specific QJs against QJo 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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