KK vs T8s: preflop equity

In equity, KK against T8s stands at 79.30% to 20.70%, a gap of 58.60 points.

KK

79.30%

Wins 79.11%, ties 0.38%

T8s

20.70%

Wins 20.51%, ties 0.38%

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

KK against T8s: the numbers

Exact preflop results for KK against T8s, in percent
HandWinsTiesLosesEquity
KK79.1080.38020.51279.298
T8s20.5120.38079.10820.702

One side is a pocket pair, the other is a suited hand. The pair outranks both of the other hand's cards, which is why the pair is a strong favorite.

KK is well ahead, and T8s needs a specific kind of board to catch up. 0.38% of boards are ties, so the equity of each hand is its win rate plus half of that.

KK ranks number 2 of 169 starting hands, and T8s ranks number 73, by equity against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KK32,510,000156,0008,429,000
T8s8,429,000156,00032,510,000

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.

KK against T8s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KK3.8301.2644.8750.261
T8s0.2614.8751.2643.830

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, KK's equity runs from 73.95% on monotone flops up to 83.18% on paired flops. KK stays ahead on all five textures.

KK against T8s by flop texture, in percent
FlopShare of flopsKK winsTiesT8s winsKK equity
Rainbow, ten or higher23.86781.3050.19718.49881.403
Rainbow, nine or lower7.04278.7020.74720.55179.075
Two-tone46.54577.2550.30022.44577.405
Monotone5.21272.7552.39824.84773.954
Paired17.33483.1350.09216.77383.181

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

How much does the opponent matter? Compared with its random-hand 82.40%, KK changes by -3.10 points, and T8s, from 52.33%, by -31.63.

KK and T8s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KK, all flops79.29882.396-3.0980.96240
KK, rainbow, ten or higher81.40382.396-0.9930.98795
KK, rainbow, nine or lower79.07582.396-3.3210.95969
KK, two-tone77.40582.396-4.9910.93943
KK, monotone73.95482.396-8.4420.89754
KK, paired83.18182.396+0.7851.00953
T8s, all flops20.70252.334-31.6320.39557
T8s, rainbow, ten or higher18.59752.334-33.7370.35535
T8s, rainbow, nine or lower20.92552.334-31.4090.39984
T8s, two-tone22.59552.334-29.7390.43175
T8s, monotone26.04652.334-26.2880.49769
T8s, paired16.81952.334-35.5150.32138

Does a shared suit matter?

Split by suits, the deals give KK 79.88% when the hands overlap in a suit and 78.72% when they do not. KK does better with a shared suit, by 1.16 points.

KK against T8s by suit overlap, in percent
DealsSpecific dealsShare of dealsKK winsTiesT8s winsKK equity
Share a suit1250.0079.6660.42119.91379.876
No shared suit1250.0078.5510.33921.11078.720

How often this matchup comes up

KK against T8s is made up of 24 specific-card matchups in one seat order, 0.0015% of the 1,624,350 ordered deals, and 48 counting both seat orders, 0.0030%.

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. KK averages $158.60 from the $200, up $58.60; T8s averages $41.40, down $58.60.

Per 1,000 deals: KK wins about 791, T8s wins about 205, and about 4 end in a split pot.

The same matchup from the other side

If you came looking for T8s against KK, the numbers are the same with the hands swapped: 20.70% and 79.30%.

Try KsKh 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

We counted every case. Each suit pattern of the 24 specific KK 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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