KJs vs KJo: preflop equity

In equity, KJs against KJo stands at 52.49% to 47.51%, a gap of 4.98 points.

KJs

52.49%

Wins 7.16%, ties 90.67%

KJo

47.51%

Wins 2.17%, ties 90.67%

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

KJs against KJo: the numbers

Exact preflop results for KJs against KJo, in percent
HandWinsTiesLosesEquity
KJs7.15890.6692.17352.492
KJo2.17390.6697.15847.508

The matchup pits a suited hand against an offsuit hand. The cards are the same ranks, so any difference in equity comes from suitedness alone.

With only 4.98 points between them, the board decides this matchup far more than the cards in hand. Of every 100 boards, about 90.67 are split pots, and the equity figures already include them.

In the ranking of all 169 starting hands, KJs is number 20 and KJo is number 26.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
KJs2,942,00037,261,000893,000
KJo893,00037,261,0002,942,000

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.

KJs against KJo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
KJs1.10513.97046.0190.905
KJo0.90546.01913.9701.105

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

The flop changes the picture. KJs does best on two-tone flops, at 53.28%, and worst on monotone flops, at 50.29%. KJs stays ahead on all five textures, and the gap between its best and worst is only 2.99 points, so the shape of the flop hardly changes who is favored.

KJs against KJo by flop texture, in percent
FlopShare of flopsKJs winsTiesKJo winsKJs equity
Rainbow, ten or higher23.1383.26596.7350.00051.633
Rainbow, nine or lower7.7713.40996.5910.00051.705
Two-tone46.3638.82988.9012.27053.280
Monotone5.15218.51363.54317.94450.285
Paired17.5766.20192.6811.11852.541

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

The table below sets each hand against its own random-hand baseline: a change of -10.08 points for KJs, from 62.57%, and -13.06 for KJo, from 60.57%.

KJs and KJo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
KJs, all flops52.49262.567-10.0750.83897
KJs, rainbow, ten or higher51.63362.567-10.9340.82524
KJs, rainbow, nine or lower51.70562.567-10.8620.82639
KJs, two-tone53.28062.567-9.2870.85157
KJs, monotone50.28562.567-12.2820.80370
KJs, paired52.54162.567-10.0260.83976
KJo, all flops47.50860.569-13.0610.78436
KJo, rainbow, ten or higher48.36760.569-12.2020.79854
KJo, rainbow, nine or lower48.29560.569-12.2740.79736
KJo, two-tone46.72060.569-13.8490.77135
KJo, monotone49.71560.569-10.8540.82080
KJo, paired47.45960.569-13.1100.78355

Does a shared suit matter?

For this pair the shared-suit row is empty: the two hands cannot both own a card of one suit without reusing a card.

KJs against KJo by suit overlap, in percent
DealsSpecific dealsShare of dealsKJs winsTiesKJo winsKJs equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit24100.007.15890.6692.17352.492

How often this matchup comes up

Counting specific cards, KJs against KJo appears in 24 of the 1,624,350 ordered heads-up deals (0.0015%), and in 48 when the seats are swapped too (0.0030%).

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, KJs' average share is $104.98 (a gain of $4.98) and KJo's is $95.02 (a loss of $4.98).

Run 1,000 deals and the tally comes out near 71 for KJs, 22 for KJo and 907 ties.

The same matchup from the other side

Swap the hands and you get KJo with 47.51% against KJs with 52.49%. We keep one page per matchup, with the better-ranked hand first.

KsJs against KhJd 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

Each figure is a complete count over boards. Take the 24 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

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