K9o vs T8s: preflop equity

Dealt all in against each other, K9o takes 57.96% of the pot on average and T8s takes the other 42.04%.

K9o

57.96%

Wins 57.63%, ties 0.65%

T8s

42.04%

Wins 41.72%, ties 0.65%

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

K9o against T8s: the numbers

Exact preflop results for K9o against T8s, in percent
HandWinsTiesLosesEquity
K9o57.6330.65341.71457.959
T8s41.7140.65357.63342.041

The matchup pits an offsuit hand against a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

A 15.92 point lead is real, and T8s still takes about 417 of every 1,000 deals outright. Ties are 0.65% of the outcomes here; each tied board gives both hands half the pot.

By strength against a random hand, K9o holds place 40 of 169 and T8s holds place 73.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
K9o47,369,000537,00034,285,000
T8s34,285,000537,00047,369,000

48 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.

K9o against T8s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
K9o1.3791.7352.3970.725
T8s0.7252.3971.7351.379

The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.

Who is ahead on which flops

By flop texture, K9o's equity runs from 55.57% on monotone flops up to 61.85% on paired flops. K9o stays ahead on all five textures.

K9o against T8s by flop texture, in percent
FlopShare of flopsK9o winsTiesT8s winsK9o equity
Rainbow, ten or higher24.66559.2830.33340.38459.450
Rainbow, nine or lower6.36556.7050.54442.75156.977
Two-tone46.66755.9710.35343.67656.148
Monotone5.21254.3452.44143.21455.566
Paired17.09161.1381.42737.43561.852

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

Compared with a random hand

Start from the random-hand figures, 57.81% for K9o and 52.33% for T8s. This opponent changes them by +0.15 and -10.29 points.

K9o and T8s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
K9o, all flops57.95957.812+0.1471.00254
K9o, rainbow, ten or higher59.45057.812+1.6381.02833
K9o, rainbow, nine or lower56.97757.812-0.8350.98556
K9o, two-tone56.14857.812-1.6640.97122
K9o, monotone55.56657.812-2.2460.96115
K9o, paired61.85257.812+4.0401.06988
T8s, all flops42.04152.334-10.2930.80332
T8s, rainbow, ten or higher40.55052.334-11.7840.77483
T8s, rainbow, nine or lower43.02352.334-9.3110.82209
T8s, two-tone43.85252.334-8.4820.83793
T8s, monotone44.43452.334-7.9000.84905
T8s, paired38.14852.334-14.1860.72893

Does a shared suit matter?

Split by suits, the deals give K9o 58.46% when the hands overlap in a suit and 57.46% when they do not. K9o does better with a shared suit, by 1.00 points.

K9o against T8s by suit overlap, in percent
DealsSpecific dealsShare of dealsK9o winsTiesT8s winsK9o equity
Share a suit2450.0058.1110.69341.19658.458
No shared suit2450.0057.1550.61242.23357.461

How often this matchup comes up

Counting specific cards, K9o against T8s appears in 48 of the 1,624,350 ordered heads-up deals (0.0030%), and in 96 when the seats are swapped too (0.0059%).

A worked example

Put $100 each into a $200 pot and deal every board once: K9o averages $115.92 back, ahead of its $100 by $15.92, while T8s averages $84.08, short of its $100 by $15.92.

Think in thousands: about 576 of 1,000 go to K9o, about 417 go to T8s, and about 7 are chopped.

The same matchup from the other side

T8s against K9o adds nothing new: it is 42.04% for T8s and 57.96% for K9o, the same figures reversed.

Try Ks9h against Td8d 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

Nothing here is simulated. The 48 deals of K9o against T8s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.

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

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