QJs vs 97s: preflop equity

Dealt all in against each other, QJs takes 64.35% of the pot on average and 97s takes the other 35.65%.

QJs

64.35%

Wins 63.90%, ties 0.91%

97s

35.65%

Wins 35.19%, ties 0.91%

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

QJs against 97s: the numbers

Exact preflop results for QJs against 97s, in percent
HandWinsTiesLosesEquity
QJs63.9000.90735.19364.354
97s35.1930.90763.90035.646

Both hands are suited hands: QJs and 97s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

The lead is steady rather than large, and the flop still has plenty of say in who wins. 0.91% of boards are ties, so the equity of each hand is its win rate plus half of that.

For context, QJs sits at number 28 of 169 starting hands and 97s at number 94 when each is run against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
QJs17,507,000248,0009,642,000
97s9,642,000248,00017,507,000

16 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 97s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
QJs1.8051.5652.8410.554
97s0.5542.8411.5651.805

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

QJs prefers rainbow flops topped by a ten or better, where it holds 71.08%, and likes low rainbow flops (nine high or lower) least, where it holds 41.25%. 97s is ahead on low rainbow flops (nine high or lower), even though it trails QJs when every flop is counted.

QJs against 97s by flop texture, in percent
FlopShare of flopsQJs winsTies97s winsQJs equity
Rainbow, ten or higher24.59570.8580.44628.69671.081
Rainbow, nine or lower6.31440.9670.56258.47141.248
Two-tone46.72763.6340.43135.93563.849
Monotone5.27359.5553.52336.92261.317
Paired17.09164.4282.19233.38065.524

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

The table below sets each hand against its own random-hand baseline: a change of +4.09 points for QJs, from 60.26%, and -13.47 for 97s, from 49.12%.

QJs and 97s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
QJs, all flops64.35460.259+4.0951.06796
QJs, rainbow, ten or higher71.08160.259+10.8221.17959
QJs, rainbow, nine or lower41.24860.259-19.0110.68451
QJs, two-tone63.84960.259+3.5901.05958
QJs, monotone61.31760.259+1.0581.01756
QJs, paired65.52460.259+5.2651.08737
97s, all flops35.64649.118-13.4720.72572
97s, rainbow, ten or higher28.91949.118-20.1990.58877
97s, rainbow, nine or lower58.75249.118+9.6341.19614
97s, two-tone36.15149.118-12.9670.73600
97s, monotone38.68349.118-10.4350.78755
97s, paired34.47649.118-14.6420.70190

Does a shared suit matter?

Looking only at deals where the hands share a suit, QJs has 66.84%; looking only at deals where they do not, 63.53%. QJs does better with a shared suit, by 3.31 points.

QJs against 97s by suit overlap, in percent
DealsSpecific dealsShare of dealsQJs winsTies97s winsQJs equity
Share a suit425.0066.3331.00532.66266.835
No shared suit1275.0063.0900.87436.03663.527

How often this matchup comes up

You will meet this exact matchup 0.0020% of the time in a random heads-up deal: 32 of 1,624,350, counting either seat order.

A worked example

With $100 from each side, the $200 pot is split on average as $128.70 for QJs and $71.30 for 97s; the first side gains $28.70 per all-in and the second gives up $28.70.

Think in thousands: about 639 of 1,000 go to QJs, about 352 go to 97s, and about 9 are chopped.

The same matchup from the other side

The reversed view, 97s against QJs, shows 35.65% for 97s and 64.35% for QJs. It is the same count, so it redirects here.

Open the calculator with QsJs against 9h7h 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

The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 16 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.

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

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