JTs vs QTo: preflop equity

Dealt all in against each other, QTo takes 69.22% of the pot on average and JTs takes the other 30.78%.

JTs

30.78%

Wins 28.93%, ties 3.68%

QTo

69.22%

Wins 67.39%, ties 3.68%

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

JTs against QTo: the numbers

Exact preflop results for JTs against QTo, in percent
HandWinsTiesLosesEquity
JTs28.9333.68467.38330.775
QTo67.3833.68428.93369.225

JTs is a suited hand and QTo is an offsuit hand. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.

That is a clear edge, 69.22% to 30.78%, but JTs still wins often enough that one hand proves nothing. Ties are 3.68% of the outcomes here; each tied board gives both hands half the pot.

Among the 169 starting hands, JTs is number 45 and QTo is number 47 by strength against a random hand.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JTs17,835,0002,271,00041,537,000
QTo41,537,0002,271,00017,835,000

36 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.

JTs against QTo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JTs0.4453.4561.4842.249
QTo2.2491.4843.4560.445

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

Split by what the flop looks like, QTo peaks at 78.37% on low rainbow flops (nine high or lower) and bottoms out at 64.88% on monotone flops. QTo stays ahead on all five textures.

JTs against QTo by flop texture, in percent
FlopShare of flopsJTs winsTiesQTo winsJTs equity
Rainbow, ten or higher23.17729.4933.70266.80531.344
Rainbow, nine or lower7.77121.1151.03377.85221.631
Two-tone46.52730.9012.89266.20732.347
Monotone5.19232.9754.30062.72535.125
Paired17.33325.1956.79268.01328.591

A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.

Compared with a random hand

How much does the opponent matter? Compared with its random-hand 57.53%, JTs changes by -26.75 points, and QTo, from 57.29%, by +11.93.

JTs and QTo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JTs, all flops30.77557.528-26.7530.53496
JTs, rainbow, ten or higher31.34457.528-26.1840.54485
JTs, rainbow, nine or lower21.63157.528-35.8970.37601
JTs, two-tone32.34757.528-25.1810.56228
JTs, monotone35.12557.528-22.4030.61057
JTs, paired28.59157.528-28.9370.49699
QTo, all flops69.22557.291+11.9341.20830
QTo, rainbow, ten or higher68.65657.291+11.3651.19837
QTo, rainbow, nine or lower78.36957.291+21.0781.36791
QTo, two-tone67.65357.291+10.3621.18087
QTo, monotone64.87557.291+7.5841.13238
QTo, paired71.40957.291+14.1181.24643

Does a shared suit matter?

Two kinds of deal exist here. In 12 of them the hands share a suit and QTo holds 70.17%. In 24 they do not, and it holds 68.75%. QTo does better with a shared suit, by 1.42 points.

JTs against QTo by suit overlap, in percent
DealsSpecific dealsShare of dealsJTs winsTiesQTo winsJTs equity
Share a suit1233.3327.9363.78268.28229.827
No shared suit2466.6729.4313.63666.93331.249

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 36 are JTs in one seat and QTo in the other (0.0022%); with the seats swapped too, 72 (0.0044%).

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. QTo averages $138.44 from the $200, up $38.44; JTs averages $61.56, down $38.44.

Run 1,000 deals and the tally comes out near 674 for QTo, 289 for JTs and 37 ties.

The same matchup from the other side

If you came looking for QTo against JTs, the numbers are the same with the hands swapped: 69.22% and 30.78%.

JsTs against QhTd 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 36 specific deals of JTs against QTo, 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.

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