JJ vs QTs: preflop equity

In equity, JJ against QTs stands at 67.25% to 32.75%, a gap of 34.50 points.

JJ

67.25%

Wins 67.04%, ties 0.41%

QTs

32.75%

Wins 32.55%, ties 0.41%

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

JJ against QTs: the numbers

Exact preflop results for JJ against QTs, in percent
HandWinsTiesLosesEquity
JJ67.0430.41032.54767.248
QTs32.5470.41067.04332.752

One side is a pocket pair, the other is a suited hand. One of the other hand's cards outranks the pair and one is below it, which makes this a closer race than a pair against two small cards.

JJ is well ahead, and QTs needs a specific kind of board to catch up. Split pots make up 0.41% of the boards, and both equity figures count them as half a win each.

JJ ranks number 4 of 169 starting hands, and QTs ranks number 34, by equity against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JJ27,552,000168,00013,375,000
QTs13,375,000168,00027,552,000

The total is exact: 24 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

JJ against QTs read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JJ2.0531.4923.0720.487
QTs0.4873.0721.4922.053

In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.

Who is ahead on which flops

Break the boards down by their first three cards and JJ is strongest on low rainbow flops (nine high or lower) (80.97%) and weakest on monotone flops (62.50%). JJ stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

JJ against QTs by flop texture, in percent
FlopShare of flopsJJ winsTiesQTs winsJJ equity
Rainbow, ten or higher23.13864.1720.13835.69064.241
Rainbow, nine or lower7.77180.5060.93518.55980.974
Two-tone46.54565.0980.30934.59365.252
Monotone5.21261.2972.39636.30762.495
Paired17.33471.7910.21027.99971.896

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

A random hand would give JJ 77.47% and QTs 59.47%. Against each other the change is -10.22 points for JJ and -26.72 for QTs.

JJ and QTs here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JJ, all flops67.24877.469-10.2210.86806
JJ, rainbow, ten or higher64.24177.469-13.2280.82925
JJ, rainbow, nine or lower80.97477.469+3.5051.04524
JJ, two-tone65.25277.469-12.2170.84230
JJ, monotone62.49577.469-14.9740.80671
JJ, paired71.89677.469-5.5730.92806
QTs, all flops32.75259.468-26.7160.55075
QTs, rainbow, ten or higher35.75959.468-23.7090.60131
QTs, rainbow, nine or lower19.02659.468-40.4420.31994
QTs, two-tone34.74859.468-24.7200.58431
QTs, monotone37.50559.468-21.9630.63068
QTs, paired28.10459.468-31.3640.47259

Does a shared suit matter?

Split by suits, the deals give JJ 67.46% when the hands overlap in a suit and 67.03% when they do not. JJ does better with a shared suit, by 0.43 points.

JJ against QTs by suit overlap, in percent
DealsSpecific dealsShare of dealsJJ winsTiesQTs winsJJ equity
Share a suit1250.0067.2370.45032.31367.462
No shared suit1250.0066.8490.37032.78167.034

How often this matchup comes up

How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are JJ against QTs, and 48 (0.0030%) if either hand may sit in either seat.

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says JJ gets $134.50 of it on average and QTs gets $65.50.

Per 1,000 deals: JJ wins about 670, QTs wins about 326, and about 4 end in a split pot.

The same matchup from the other side

The mirror image, QTs against JJ, is 32.75% to 67.25%, and its address redirects to this page.

Try JsJh against QdTd 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

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 24 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.

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

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