KQs vs T8s: preflop equity

The exact count puts KQs at 64.02% and T8s at 35.98% when the two hands see all five board cards.

KQs

64.02%

Wins 63.67%, ties 0.70%

T8s

35.98%

Wins 35.63%, ties 0.70%

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

KQs against T8s: the numbers

Exact preflop results for KQs against T8s, in percent
HandWinsTiesLosesEquity
KQs63.6740.70035.62664.024
T8s35.6260.70063.67435.976

The matchup is suited hands on both sides, KQs against T8s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

KQs is ahead, but T8s is far from dead: it takes 356 of every 1,000 deals outright. Ties are 0.70% of the outcomes here; each tied board gives both hands half the pot.

KQs ranks number 16 of 169 starting hands, and T8s ranks number 73, by equity against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KQs17,445,000192,0009,760,000
T8s9,760,000192,00017,445,000

Exact total: 16 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.

KQs against T8s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KQs1.7801.5702.8070.562
T8s0.5622.8071.5701.780

The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.

Who is ahead on which flops

Break the boards down by their first three cards and KQs is strongest on rainbow flops topped by a ten or better (68.00%) and weakest on low rainbow flops (nine high or lower) (52.65%). KQs stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

KQs against T8s by flop texture, in percent
FlopShare of flopsKQs winsTiesT8s winsKQs equity
Rainbow, ten or higher23.86767.8550.29431.85168.002
Rainbow, nine or lower7.04252.2980.70147.00152.649
Two-tone46.72763.2520.34936.39963.427
Monotone5.27359.2633.46737.27060.997
Paired17.09165.0351.37633.58965.723

Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.

Compared with a random hand

Start from the random-hand figures, 63.40% for KQs and 52.33% for T8s. This opponent changes them by +0.62 and -16.35 points.

KQs and T8s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KQs, all flops64.02463.400+0.6241.00984
KQs, rainbow, ten or higher68.00263.400+4.6021.07259
KQs, rainbow, nine or lower52.64963.400-10.7510.83043
KQs, two-tone63.42763.400+0.0271.00043
KQs, monotone60.99763.400-2.4030.96210
KQs, paired65.72363.400+2.3231.03664
T8s, all flops35.97652.334-16.3580.68743
T8s, rainbow, ten or higher31.99852.334-20.3360.61142
T8s, rainbow, nine or lower47.35152.334-4.9830.90478
T8s, two-tone36.57352.334-15.7610.69884
T8s, monotone39.00352.334-13.3310.74527
T8s, paired34.27752.334-18.0570.65497

Does a shared suit matter?

Looking only at deals where the hands share a suit, KQs has 66.47%; looking only at deals where they do not, 63.21%. KQs does better with a shared suit, by 3.26 points.

KQs against T8s by suit overlap, in percent
DealsSpecific dealsShare of dealsKQs winsTiesT8s winsKQs equity
Share a suit425.0066.0730.78833.13966.467
No shared suit1275.0062.8740.67136.45563.210

How often this matchup comes up

You will meet this exact matchup 0.0020% of the time in a random heads-up deal: 32 of 1,624,350, counting either seat order.

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. KQs is worth $128.04 on average (+$28.04); T8s is worth $71.96 (-$28.04).

A thousand deals look like this: KQs takes 637, T8s takes 356, 7 are ties.

The same matchup from the other side

T8s against KQs adds nothing new: it is 35.98% for T8s and 64.02% for KQs, the same figures reversed.

KsQs against Th8h 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

We counted every case. Each suit pattern of the 16 specific KQs against T8s 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.

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