QJs vs JTo: preflop equity

The exact count puts QJs at 74.31% and JTo at 25.69% when the two hands see all five board cards.

QJs

74.31%

Wins 72.45%, ties 3.71%

JTo

25.69%

Wins 23.84%, ties 3.71%

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

QJs against JTo: the numbers

Exact preflop results for QJs against JTo, in percent
HandWinsTiesLosesEquity
QJs72.4543.70623.84074.307
JTo23.8403.70672.45425.693

One side is a suited hand, the other is an offsuit hand. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.

QJs is well ahead, and JTo needs a specific kind of board to catch up. 3.71% 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 JTo is number 57.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
QJs44,663,0002,284,00014,696,000
JTo14,696,0002,284,00044,663,000

Exact total: 36 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.

QJs against JTo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
QJs2.8921.3804.1950.346
JTo0.3464.1951.3802.892

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

Across the five flop textures QJs' equity moves by 15.31 points, from 66.52% on monotone flops to 81.83% on low rainbow flops (nine high or lower). 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 JTo by flop texture, in percent
FlopShare of flopsQJs winsTiesJTo winsQJs equity
Rainbow, ten or higher23.17769.9183.71426.36871.775
Rainbow, nine or lower7.77181.3101.03317.65781.827
Two-tone46.52772.8772.90124.22274.327
Monotone5.19264.3624.30831.33066.516
Paired17.33373.1646.87319.96376.601

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

Each hand has a baseline against a random hand: 60.26% for QJs, 55.25% for JTo. Here the change is +14.05 and -29.56 points.

QJs and JTo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
QJs, all flops74.30760.259+14.0481.23313
QJs, rainbow, ten or higher71.77560.259+11.5161.19111
QJs, rainbow, nine or lower81.82760.259+21.5681.35792
QJs, two-tone74.32760.259+14.0681.23346
QJs, monotone66.51660.259+6.2571.10384
QJs, paired76.60160.259+16.3421.27120
JTo, all flops25.69355.248-29.5550.46505
JTo, rainbow, ten or higher28.22555.248-27.0230.51088
JTo, rainbow, nine or lower18.17355.248-37.0750.32893
JTo, two-tone25.67355.248-29.5750.46469
JTo, monotone33.48455.248-21.7640.60607
JTo, paired23.39955.248-31.8490.42353

Does a shared suit matter?

Of the deals of this matchup, 12 share a suit (QJs at 74.16%) and 24 do not (74.38%). The two rows differ by only 0.22 points, so suits barely change this matchup.

QJs against JTo by suit overlap, in percent
DealsSpecific dealsShare of dealsQJs winsTiesJTo winsQJs equity
Share a suit1233.3372.2633.80323.93474.164
No shared suit2466.6772.5503.65723.79374.378

How often this matchup comes up

The class pair covers 36 combinations of specific cards in a fixed seat order, 0.0022% of 1,624,350, and 72 (0.0044%) in either order.

A worked example

Take a $200 pot built from $100 each. QJs' equity of 74.31% is worth $148.62, a $48.62 edge, and JTo's 25.69% is worth $51.38, which is $48.62 under its stake.

Per 1,000 deals: QJs wins about 725, JTo wins about 238, and about 37 end in a split pot.

The same matchup from the other side

JTo against QJs adds nothing new: it is 25.69% for JTo and 74.31% for QJs, the same figures reversed.

Open the calculator with QsJs against JhTd 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 36 specific deals of QJs against JTo, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.

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

Bring your own hands to a session

Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.

Book a session