QTs vs 65s: preflop equity

Averaged over every possible board, QTs is ahead of 65s by 25.12 points of equity, 62.56% to 37.44%.

QTs

62.56%

Wins 62.10%, ties 0.92%

65s

37.44%

Wins 36.98%, ties 0.92%

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

QTs against 65s: the numbers

Exact preflop results for QTs against 65s, in percent
HandWinsTiesLosesEquity
QTs62.0970.92036.98362.557
65s36.9830.92062.09737.443

The matchup is suited hands on both sides, QTs against 65s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

A 25.12 point lead is real, and 65s still takes about 370 of every 1,000 deals outright. The tie share is 0.92%: on those boards the pot is chopped and neither hand wins outright.

Among the 169 starting hands, QTs is number 34 and 65s is number 128 by strength against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
QTs17,013,000252,00010,132,000
65s10,132,000252,00017,013,000

The total is exact: 16 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.

QTs against 65s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
QTs1.6711.6102.7040.599
65s0.5992.7041.6101.671

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

Split by what the flop looks like, QTs peaks at 70.01% on rainbow flops topped by a ten or better and bottoms out at 35.28% on low rainbow flops (nine high or lower). The overall edge for QTs hides low rainbow flops (nine high or lower), where 65s comes out in front.

QTs against 65s by flop texture, in percent
FlopShare of flopsQTs winsTies65s winsQTs equity
Rainbow, ten or higher24.59569.7880.44229.77070.009
Rainbow, nine or lower6.31434.9640.62464.41235.276
Two-tone46.72761.8020.44637.75262.025
Monotone5.27358.1983.58338.21959.989
Paired17.09163.0652.19034.74564.160

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 +3.09 points for QTs, from 59.47%, and -5.69 for 65s, from 43.13%.

QTs and 65s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
QTs, all flops62.55759.468+3.0891.05194
QTs, rainbow, ten or higher70.00959.468+10.5411.17725
QTs, rainbow, nine or lower35.27659.468-24.1920.59319
QTs, two-tone62.02559.468+2.5571.04300
QTs, monotone59.98959.468+0.5211.00876
QTs, paired64.16059.468+4.6921.07890
65s, all flops37.44343.133-5.6900.86808
65s, rainbow, ten or higher29.99143.133-13.1420.69531
65s, rainbow, nine or lower64.72443.133+21.5911.50057
65s, two-tone37.97543.133-5.1580.88042
65s, monotone40.01143.133-3.1220.92762
65s, paired35.84043.133-7.2930.83092

Does a shared suit matter?

When the hands share a suit, QTs holds 64.80%; when they do not, it holds 61.81%. QTs does better with a shared suit, by 2.99 points.

QTs against 65s by suit overlap, in percent
DealsSpecific dealsShare of dealsQTs winsTies65s winsQTs equity
Share a suit425.0064.2931.02034.68764.803
No shared suit1275.0061.3660.88637.74861.809

How often this matchup comes up

The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, QTs' average share is $125.12 (a gain of $25.12) and 65s' is $74.88 (a loss of $25.12).

Out of 1,000 deals you should see around 621 outright wins for QTs, 370 for 65s, and 9 split pots.

The same matchup from the other side

The mirror image, 65s against QTs, is 37.44% to 62.56%, and its address redirects to this page.

Try QsTs against 6h5h 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 16 specific QTs against 65s 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.

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