KK vs JTo: preflop equity

Over all 1,712,304 boards that can follow this deal, KK finishes with 84.25% of the pot and JTo with 15.75%.

KK

84.25%

Wins 84.06%, ties 0.39%

JTo

15.75%

Wins 15.55%, ties 0.39%

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

KK against JTo: the numbers

Exact preflop results for KK against JTo, in percent
HandWinsTiesLosesEquity
KK84.0550.38515.56084.247
JTo15.5600.38584.05515.753

KK, a pocket pair, plays JTo, an offsuit hand. The pair outranks both of the other hand's cards, which is why the pair is a strong favorite.

KK is a big favorite here before anyone sees a flop. The tie share is 0.39%: on those boards the pot is chopped and neither hand wins outright.

For context, KK sits at number 2 of 169 starting hands and JTo at number 57 when each is run against a random hand.

Boards behind the percentages: 123,285,888 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KK103,628,000475,00019,183,000
JTo19,183,000475,000103,628,000

Exact total: 72 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.

KK against JTo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KK5.3481.1906.4270.187
JTo0.1876.4271.1905.348

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

Low rainbow flops (nine high or lower) are the best for KK (88.65%); monotone flops are the worst (79.23%). KK stays ahead on all five textures.

KK against JTo by flop texture, in percent
FlopShare of flopsKK winsTiesJTo winsKK equity
Rainbow, ten or higher23.26082.5190.16217.31982.600
Rainbow, nine or lower7.77188.1480.99710.85588.646
Two-tone46.48583.4080.35516.23783.585
Monotone5.15178.3681.72919.90379.233
Paired17.33387.7030.09212.20587.749

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

A random hand would give KK 82.40% and JTo 55.25%. Against each other the change is +1.85 points for KK and -39.50 for JTo.

KK and JTo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KK, all flops84.24782.396+1.8511.02246
KK, rainbow, ten or higher82.60082.396+0.2041.00248
KK, rainbow, nine or lower88.64682.396+6.2501.07585
KK, two-tone83.58582.396+1.1891.01443
KK, monotone79.23382.396-3.1630.96161
KK, paired87.74982.396+5.3531.06497
JTo, all flops15.75355.248-39.4950.28513
JTo, rainbow, ten or higher17.40055.248-37.8480.31494
JTo, rainbow, nine or lower11.35455.248-43.8940.20551
JTo, two-tone16.41555.248-38.8330.29711
JTo, monotone20.76755.248-34.4810.37589
JTo, paired12.25155.248-42.9970.22175

Does a shared suit matter?

When the hands share a suit, KK holds 84.39%; when they do not, it holds 83.53%. KK does better with a shared suit, by 0.86 points.

KK against JTo by suit overlap, in percent
DealsSpecific dealsShare of dealsKK winsTiesJTo winsKK equity
Share a suit6083.3384.1900.40115.40984.391
No shared suit1216.6783.3740.30616.32083.527

How often this matchup comes up

Counting specific cards, KK against JTo appears in 72 of the 1,624,350 ordered heads-up deals (0.0044%), and in 144 when the seats are swapped too (0.0089%).

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says KK gets $168.50 of it on average and JTo gets $31.50.

Run 1,000 deals and the tally comes out near 840 for KK, 156 for JTo and 4 ties.

The same matchup from the other side

The reversed view, JTo against KK, shows 15.75% for JTo and 84.25% for KK. It is the same count, so it redirects here.

KsKh against JdTc 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

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 72 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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