KJs vs JTo: preflop equity

In equity, KJs against JTo stands at 73.32% to 26.68%, a gap of 46.64 points.

KJs

73.32%

Wins 71.95%, ties 2.74%

JTo

26.68%

Wins 25.31%, ties 2.74%

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

KJs against JTo: the numbers

Exact preflop results for KJs against JTo, in percent
HandWinsTiesLosesEquity
KJs71.9502.74325.30773.322
JTo25.3072.74371.95026.678

KJs, a suited hand, plays JTo, 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.

That is a clear edge, 73.32% to 26.68%, but JTo still wins often enough that one hand proves nothing. Split pots make up 2.74% of the boards, and both equity figures count them as half a win each.

For context, KJs sits at number 20 of 169 starting hands and JTo at number 57 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
KJs44,352,0001,691,00015,600,000
JTo15,600,0001,691,00044,352,000

36 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.

KJs against JTo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KJs2.7481.3903.9510.364
JTo0.3643.9511.3902.748

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

Across the five flop textures KJs' equity moves by 14.15 points, from 65.84% on monotone flops to 79.99% on low rainbow flops (nine high or lower). KJs stays ahead on all five textures.

KJs against JTo by flop texture, in percent
FlopShare of flopsKJs winsTiesJTo winsKJs equity
Rainbow, ten or higher23.17769.2092.66328.12870.541
Rainbow, nine or lower7.77179.2671.45019.28379.992
Two-tone46.52772.0382.22325.73973.150
Monotone5.19263.9943.69432.31265.841
Paired17.33374.4824.54220.97676.753

Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.

Compared with a random hand

Against one random hand instead, KJs holds 62.57% and JTo holds 55.25%. Facing each other changes that by +10.75 points for KJs and -28.57 points for JTo.

KJs and JTo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KJs, all flops73.32262.567+10.7551.17190
KJs, rainbow, ten or higher70.54162.567+7.9741.12745
KJs, rainbow, nine or lower79.99262.567+17.4251.27850
KJs, two-tone73.15062.567+10.5831.16915
KJs, monotone65.84162.567+3.2741.05233
KJs, paired76.75362.567+14.1861.22673
JTo, all flops26.67855.248-28.5700.48288
JTo, rainbow, ten or higher29.45955.248-25.7890.53321
JTo, rainbow, nine or lower20.00855.248-35.2400.36215
JTo, two-tone26.85055.248-28.3980.48599
JTo, monotone34.15955.248-21.0890.61828
JTo, paired23.24755.248-32.0010.42078

Does a shared suit matter?

Two kinds of deal exist here. In 12 of them the hands share a suit and KJs holds 73.12%. In 24 they do not, and it holds 73.42%. KJs does better with no shared suit, by 0.30 points.

KJs against JTo by suit overlap, in percent
DealsSpecific dealsShare of dealsKJs winsTiesJTo winsKJs equity
Share a suit1233.3371.7002.84225.45873.121
No shared suit2466.6772.0762.69425.23073.423

How often this matchup comes up

You will meet this exact matchup 0.0044% of the time in a random heads-up deal: 72 of 1,624,350, counting either seat order.

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. KJs averages $146.64 from the $200, up $46.64; JTo averages $53.36, down $46.64.

Over a long run, 1,000 deals split into about 720 for KJs, 253 for JTo and 27 tied.

The same matchup from the other side

The reversed view, JTo against KJs, shows 26.68% for JTo and 73.32% for KJs. It is the same count, so it redirects here.

Try KsJs against JhTd 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 36 specific deals of KJs against JTo, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.

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

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