KTs vs KJo: preflop equity

Counting every board, the equity split is 68.76% for KJo and 31.24% for KTs, so KJo leads by 37.52 points.

KTs

31.24%

Wins 27.49%, ties 7.50%

KJo

68.76%

Wins 65.01%, ties 7.50%

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

KTs against KJo: the numbers

Exact preflop results for KTs against KJo, in percent
HandWinsTiesLosesEquity
KTs27.4927.50165.00731.242
KJo65.0077.50127.49268.758

We compare a suited hand with an offsuit hand. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

A lead of 37.52 points is large but not decisive: KTs still takes about 275 of every 1,000 deals. About 7.50% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

For context, KTs sits at number 22 of 169 starting hands and KJo at number 26 when each is run against a random hand.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KTs16,947,0004,624,00040,072,000
KJo40,072,0004,624,00016,947,000

The board total is exact, 36 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

KTs against KJo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KTs0.4543.6371.5382.201
KJo2.2011.5383.6370.454

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, KJo peaks at 81.27% on low rainbow flops (nine high or lower) and bottoms out at 63.93% on monotone flops. KJo stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

KTs against KJo by flop texture, in percent
FlopShare of flopsKTs winsTiesKJo winsKTs equity
Rainbow, ten or higher23.17728.4635.75965.77831.343
Rainbow, nine or lower7.77116.9343.60379.46318.735
Two-tone46.52729.4454.95265.60331.921
Monotone5.19233.1295.88760.98436.072
Paired17.33323.99418.90857.09833.448

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

Relative to a random opponent, KTs changes by -30.55 points (baseline 61.79%) and KJo by +8.19 points (baseline 60.57%).

KTs and KJo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KTs, all flops31.24261.789-30.5470.50562
KTs, rainbow, ten or higher31.34361.789-30.4460.50726
KTs, rainbow, nine or lower18.73561.789-43.0540.30321
KTs, two-tone31.92161.789-29.8680.51661
KTs, monotone36.07261.789-25.7170.58379
KTs, paired33.44861.789-28.3410.54133
KJo, all flops68.75860.569+8.1891.13520
KJo, rainbow, ten or higher68.65760.569+8.0881.13353
KJo, rainbow, nine or lower81.26560.569+20.6961.34169
KJo, two-tone68.07960.569+7.5101.12399
KJo, monotone63.92860.569+3.3591.05546
KJo, paired66.55260.569+5.9831.09878

Does a shared suit matter?

Looking only at deals where the hands share a suit, KJo has 69.45%; looking only at deals where they do not, 68.41%. KJo does better with a shared suit, by 1.04 points.

KTs against KJo by suit overlap, in percent
DealsSpecific dealsShare of dealsKTs winsTiesKJo winsKTs equity
Share a suit1233.3326.7457.60165.65430.546
No shared suit2466.6727.8657.45264.68331.591

How often this matchup comes up

This page stands for 36 specific-card matchups (0.0022% of 1,624,350 ordered deals), or 72 once you count the seats both ways (0.0044%).

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, KJo's average share is $137.52 (a gain of $37.52) and KTs' is $62.48 (a loss of $37.52).

Over a long run, 1,000 deals split into about 650 for KJo, 275 for KTs and 75 tied.

The same matchup from the other side

Read it from the other side: KJo against KTs is the same matchup with the numbers swapped, so KJo holds 68.76% and KTs holds 31.24%. That address sends you back to this page.

The calculator link fills in KsTs against KhJd, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.

How this was computed

The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 36 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.

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

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