QTs vs T8s: preflop equity

Averaged over every possible board, QTs is ahead of T8s by 39.14 points of equity, 69.57% to 30.43%.

QTs

69.57%

Wins 67.57%, ties 4.00%

T8s

30.43%

Wins 28.43%, ties 4.00%

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

QTs against T8s: the numbers

Exact preflop results for QTs against T8s, in percent
HandWinsTiesLosesEquity
QTs67.5704.00428.42669.572
T8s28.4264.00467.57030.428

Here suited hands face each other, QTs on one side and T8s on the other. 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.

QTs is well ahead, and T8s needs a specific kind of board to catch up. A split pot comes up on 4.00% of boards, so the wins and the equity differ by half of that.

Among the 169 starting hands, QTs is number 34 and T8s is number 73 by strength against a random hand.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
QTs13,884,000823,0005,841,000
T8s5,841,000823,00013,884,000

12 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.

QTs against T8s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
QTs2.2861.4803.5180.437
T8s0.4373.5181.4802.286

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

The flop changes the picture. QTs does best on rainbow flops topped by a ten or better, at 75.03%, and worst on low rainbow flops (nine high or lower), at 57.54%. QTs stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

QTs against T8s by flop texture, in percent
FlopShare of flopsQTs winsTiesT8s winsQTs equity
Rainbow, ten or higher23.86773.0913.88423.02575.033
Rainbow, nine or lower7.04256.4862.11441.40057.543
Two-tone46.54366.8073.16930.02468.391
Monotone5.21560.3565.44034.20463.076
Paired17.33368.6936.74724.56072.067

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

A random hand would give QTs 59.47% and T8s 52.33%. Against each other the change is +10.10 points for QTs and -21.90 for T8s.

QTs and T8s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
QTs, all flops69.57259.468+10.1041.16991
QTs, rainbow, ten or higher75.03359.468+15.5651.26174
QTs, rainbow, nine or lower57.54359.468-1.9250.96763
QTs, two-tone68.39159.468+8.9231.15005
QTs, monotone63.07659.468+3.6081.06067
QTs, paired72.06759.468+12.5991.21186
T8s, all flops30.42852.334-21.9060.58142
T8s, rainbow, ten or higher24.96752.334-27.3670.47707
T8s, rainbow, nine or lower42.45752.334-9.8770.81127
T8s, two-tone31.60952.334-20.7250.60399
T8s, monotone36.92452.334-15.4100.70555
T8s, paired27.93352.334-24.4010.53374

Does a shared suit matter?

For this pair the shared-suit row is empty: the two hands cannot both own a card of one suit without reusing a card.

QTs against T8s by suit overlap, in percent
DealsSpecific dealsShare of dealsQTs winsTiesT8s winsQTs equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0067.5704.00428.42669.572

How often this matchup comes up

The class pair covers 12 combinations of specific cards in a fixed seat order, 0.0007% of 1,624,350, and 24 (0.0015%) in either order.

A worked example

With $100 from each side, the $200 pot is split on average as $139.14 for QTs and $60.86 for T8s; the first side gains $39.14 per all-in and the second gives up $39.14.

Scaled to 1,000 deals, that is roughly 676 wins for QTs, 284 for T8s and 40 chopped pots.

The same matchup from the other side

The mirror image, T8s against QTs, is 30.43% to 69.57%, and its address redirects to this page.

Try QsTs against Th8h 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 12 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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