KJo vs JTo: preflop equity

In equity, KJo against JTo stands at 72.41% to 27.59%, a gap of 44.82 points.

KJo

72.41%

Wins 71.01%, ties 2.81%

JTo

27.59%

Wins 26.18%, ties 2.81%

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

KJo against JTo: the numbers

Exact preflop results for KJo against JTo, in percent
HandWinsTiesLosesEquity
KJo71.0072.81426.17972.414
JTo26.1792.81471.00727.586

KJo meets JTo, and both are offsuit hands. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

KJo is well ahead, and JTo needs a specific kind of board to catch up. A split pot comes up on 2.81% of boards, so the wins and the equity differ by half of that.

By strength against a random hand, KJo holds place 26 of 169 and JTo holds place 57.

Boards behind the percentages: 184,928,832 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KJo131,312,0005,204,00048,413,000
JTo48,413,0005,204,000131,312,000

Exact total: 108 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.

KJo against JTo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KJo2.6251.4083.8200.381
JTo0.3813.8201.4082.625

The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.

Who is ahead on which flops

By flop texture, KJo's equity runs from 68.97% on monotone flops up to 79.22% on low rainbow flops (nine high or lower). KJo stays ahead on all five textures.

KJo against JTo by flop texture, in percent
FlopShare of flopsKJo winsTiesJTo winsKJo equity
Rainbow, ten or higher23.27568.2892.72028.99169.649
Rainbow, nine or lower7.77178.4601.51720.02379.218
Two-tone46.47770.5492.35227.09971.725
Monotone5.14467.3783.18229.44068.969
Paired17.33373.6234.65221.72575.949

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

Against one random hand instead, KJo holds 60.57% and JTo holds 55.25%. Facing each other changes that by +11.84 points for KJo and -27.66 points for JTo.

KJo and JTo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KJo, all flops72.41460.569+11.8451.19556
KJo, rainbow, ten or higher69.64960.569+9.0801.14991
KJo, rainbow, nine or lower79.21860.569+18.6491.30790
KJo, two-tone71.72560.569+11.1561.18419
KJo, monotone68.96960.569+8.4001.13868
KJo, paired75.94960.569+15.3801.25393
JTo, all flops27.58655.248-27.6620.49931
JTo, rainbow, ten or higher30.35155.248-24.8970.54936
JTo, rainbow, nine or lower20.78255.248-34.4660.37616
JTo, two-tone28.27555.248-26.9730.51178
JTo, monotone31.03155.248-24.2170.56167
JTo, paired24.05155.248-31.1970.43533

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common KJo has 72.58% equity, and with none in common it has 71.84%. KJo does better with a shared suit, by 0.74 points.

KJo against JTo by suit overlap, in percent
DealsSpecific dealsShare of dealsKJo winsTiesJTo winsKJo equity
Share a suit8477.7871.1582.84126.00172.579
No shared suit2422.2270.4812.71726.80271.839

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 108 are KJo in one seat and JTo in the other (0.0066%); with the seats swapped too, 216 (0.0133%).

A worked example

Put $100 each into a $200 pot and deal every board once: KJo averages $144.82 back, ahead of its $100 by $44.82, while JTo averages $55.18, short of its $100 by $44.82.

Think in thousands: about 710 of 1,000 go to KJo, about 262 go to JTo, and about 28 are chopped.

The same matchup from the other side

JTo versus KJo is this same page seen from the other hand: 27.59% for JTo, 72.41% for KJo.

Try KsJh against JdTc 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 108 deals of KJo against JTo 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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